PART 1: MACHINE DESIGN SHORT PROBLEMS STRENGTH OF MATERIALS
1. A horizontal cantilever beam, 16 ft long is subjected to a load of 500 lb located to its center. The dimension of the beam is 2 x 4 inches respectively. w = 100 lb/ft, find its flexular stress. Answer: A
A. 3150 psi B. 2912 psi C. 4510 psi D. 5663 psi
2. A 12 m simply supported beam with 30 KN load at the center has a maximum deflection of: (EI = 6000 KN.m2). Answer: D
A. 150 mm B. 160 mm C. 170 mm D. 180 mm
3. A 10 m simply supported beam with 25 KN load 3m from the left end has a maximum slope at the left end: (EI = 8000 Kn.m2). Answer: C
A. 0.0056 rad B. 0.0765 rad C. 0.0186 rad D. 0.1823 rad
4. A 10 m simply supported beam has a uniform load of 2 KN/m extended from left end to 4 m and has a concentrated load of 10 KN, 2 m from the right end. Find the maximum moment at the 10 KN concentrated load. (EI = 10,000 KN.m2). Answer: A
A. 19.20 KN.m B. 26.34 KN.m C. 23.45 KN.m D. 12.34 KN.m
5. A 10 m simply supported beam with uniform load of 3 KN/m from right end to left end has a maximum deflection of: (EI = 12,000 Kn.m2). Answer: B
A. 43.23 mm B. 32.55 mm C. 54.23 mm D. 36.45 mm
6. A 8 m simply supported beam has a uniform load of 2 KN/m from left end to right end and concentrated load of 10 KN at the center has a maximum deflection of: (EI = 5,000 Kn.m2).
Answer: B
A. 12.34 mm B. 42.66 mm C. 21.33 mm D. 34.34 mm
7. A 10 m cantilever beam has a concentrated load of 10 KN/m at the free end. Find the maximum deflection of the beam. (EI = 7,000 Kn.m2). Answer: A
A. 476.20 mm B. 342.34 mm C. 544.34 mm D. 764.44 mm
8. A 14 m cantilever beam has a concentrated load of 25 KN/m at the mid-span. Find the maximum slope of the beam. (EI = 9,000 Kn.m2). Answer: B
A. 0.00234 rad B. 0.068 rad C. 1.23 rad D. 0.123 rad
9. A 10 m cantilever beam has a uniform load of 2.5 KN/m from left to right end. Find the maximum deflection of the beam. (EI = 11,000 Kn.m2). Answer: D
A. 423.45 mm B. 198.23 mm C. 323.45 mm D. 284.10 mm
10. A 10 m cantilever beam has a uniform load of 2 KN/m from left to right end and with concentrated load of 8 KN at the center. Find the maximum slope of the beam. (EI = 13,000 Kn.m2). Answer: C
A. 0.011 rad B. 0.022 rad C. 0.033 rad D. 0.044 rad
11. A 14 m cantilever beam has a load of 16 KN, 6 m from the fixed end. Find the maximum slope of the beam. (EI = 6,000 Kn.m2). Answer: B
A. 0.183 rad B. 0.048 rad C. 0.863 rad D. 0.064 rad
12. A 12 m cantilever beam has a uniform load of 1.5 KN/m extended from fixed end up to 4 m and a concentrated load of 8 KN at the free end. Find the maximum slope of the beam. (EI = 8,000 Kn.m2).
Answer: A
A. 0.126 rad B. 0.234 rad C. 0.654 rad D. 0.345 rad
13. A 10 m simply supported beam has a triangular load from zero at the left end to a maximum of 10 KN/m at the right end. Find the maximum deflection of the beam. (EI = 10,000 Kn.m2). Answer: B
A. 54.24 mm B. 65.10 mm C. 84.67 mm D. 76.56 mm
14. An 8 m cantilever beam has a triangular load from left end to a maximum of 12 KN/m at the fixed end. What is the maximum deflection of the beam? (EI = 12,000 Kn.m2). Answer: A
A. 136.53 mm B. 145.34 mm C. 165.34 mm D. 154.34 mm
15. A 12 m restrained beams with two end fixed has a concentrated load of 15 KN at the center. Find the maximum deflection of the beam. (EI = 7,000 Kn.m2). Answer: C
A. 8.45 mm B. 34.23 mm C. 19.28 mm D. 24.67 mm
16. A 15 m restrained beams with two end fixed has a uniform load of 3 KN/m, find the maximum deflection of the beam. (EI = 9,000 Kn.m2). Answer: D
A. 56.34 mm B. 23.56 mm C. 34.56 mm D. 43.94 mm
17. A vertical load of 400 N acts at the end of a horizontal rectangular cantilever beam 2 m long and 25 mm wide. If the allowable bending stress is 130 Mpa, find the depth of the beam. Answer: B
A. 23.45 mm B. 38.43 mm C. 56.43 mm D. 45.34 mm
18. A simply supported beam is 50 mm by 200 mm in cross-section and 4 m long. If the flexular stress is not to exceed 8.3 Mpa, find the maximum mid-span concentrated load. Answer: A
A. 2.77 KN B. 6.34 KN C. 3.45 KN D. 4.34 KN
19. A simple wooden beam, 50 mm wide by 250 mm deep and 7.5 m long has a maximum deflection of 102 mm under a uniform load “w”. E = 12,411 Mpa.
A. What is the uniform load, w. Answer: 2KN/m
B. What is the slope? Answer: 0.0435 rad
C. What is the maximum moment? Answer: 14 KN.m
D. What is the maximum shear? Answer: 7.5 KN
E. What is the flexular stress? Answer: 26.880 Mpa
F. What is the shearing stress? Answer: 900 Kpa
20. A simply supported beam having a span of 6 m carries two concentrated loads of 80 KN at its middle thirds. Compute the deflection at the mid-span due to this load. Let EI = 30,670 x 109 N.mm2.
Answer: B
A. 18 mm B. 20 mm C. 24 mm D. 30 mm
21. A cantilever beam having a span of 6 m, carries a triangular load of 20 KN/m at its fixed end to zero at the free end of the beam. Determine the deflection at the free end of the beam if EI = 50 x 1012 N.mm2. Answer: A
A. 17.28 mm B. 16.48 mm C. 15.62 mm D. 12.63 mm
22. A simply supported rectangular beam 50 mm wide by 100 mm deep carries a uniform load 1200 N/m over its entire length. What is the maximum length of the beam if the flexular stress is limited to 20 Mpa. Answer: A
A. 3.33 m B. 4.25 m C. 5.2 m D. 6.0 m
23. A simply supported beam having a span of 20 m carries a concentrated load of 10 KN at a distance of 5 m from the left support and a counter clockwise couple of 6KN.m acting 3 m from the right support. The maximum moment due to this load is: Answer: A
A. 39 KN. m B. 43 KN. m C. 36 KN. m D. 48 KN. m
24. A cantilever beam having a span of 4 m carries a concentrated load of 50 KN at the free end. What is the flexular rigidity if the beam deflects 29.63 mm at is free end. Answer: A
A. 36,000 KN. m2 B. 42,000 KN. m2 C. 24,800 KN. m2 D. 54,200 KN. m2
25. A restrained beam carries a triangular load which increases from zero to 30 KN/m from A to B having a span of 4 m. Determine the moment A. Answer: D
A. 12 KN. m B. 24 KN. m C. 18 KN. m D. 16 KN. m
26. A cantilever beam 3 m long carries a concentrated load of 35 KN at its free end. The material is structural steel and the maximum bending stress is not to exceed 125 Mpa. Determine the required diameter of the bar if it is circular. Answer: A
A. 204.5 mm B. 188.6 mm C. 164.6 mm D. 179.2 mm
27. A steel beam 2 m in length is simply supported at each end and carries a concentrated load of 100 KN acting 0.5 m from one of the supports. Determine the maximum bending stress set-up in the beam if the cross-section is rectangular, 100 mm wide by 150 mm deep. Answer: A
A. 100 Mpa B. 120 Mpa C. 97 Mpa D. 150 Mpa
28. A beam made of titanium has a yield point of 850 Mpa. The beam has 25 mm x 50 mm rectangular cross-section and bends about an axis paralles to the 25 mm face. If the maximum bending stress is 650 Mpa, find the corresponding bending moment. Answer: A
A. 6.8 KN.m B. 8.4 KN.m C. 4.5 KN.m D. 8.4 KN.m
29. A restrained beam having a span of 6 m carries a uniform load of 50 N/m throughout its span. If E = 200,000 Mpa, I = 6080 x 106 mm4, determine the deflection at the mid-span. Answer: A
A. 0.14 mm B. 0.25 mm C. 0.36 mm D. 0.48 mm
MECHANICS
1. A car travels with an initial velocity of 10 m/s or 36 km/hr. If it is decelerating at the rate of 3 m/s2, how far, in meters, does it travel before stopping? Answer: A
A. 17 B. 21 C. 19 D. 15
2. A block weighing 56 lbs rest on horizontal surface. The force needed to move along the surface is 20 lbs. determine the coefficient of friction. Answer: C
A. 0.0 B. 0.112 C. 0.36 D. 0.28
3. A baseball is thrown straight upward with a velocity of 20 m/s. Compute for the time elapse for the baseball to return. Assume for a zero drag. Answer: D
A. 1.84 B. 2.21 C. 2.50 D. 2.04
4. A 114 km/s speed is projected vertically how long will it take to go back to its initial position. Answer: A A. 6.45 hrs B. 1.23 hrs C. 7.23 hrs D. 8.45 hrs
5. An occupant moves toward the center of a merry go around at 6 m/s. If the merry go around rotates at 6 rpm, compute the acceleration component of the occupant normal to the radius. Answer: D
A. 6.79 m/s2 B. 8.29 m/s2 C. 7.54 m/s2 D. 3.77 m/s2
6. A wheel accelerates from rest with a = 5 rad/sec.sec. Compute how many revolutions are made in 4 seconds. Answer: B
A. 5.71 rev B. 6.36 rev C. 7 rev D. 20 rev
7. What minimum distance can a truck slide on a horizontal asphalt road if it is travelling at 25 m/s. The coefficient of sliding friction between asphalt and rubber is at 0.6. The weight of the truck is 8500 kg. Answer: C
A. 44.9 B. 58.5 C. 53.2 D. 63.8
8. A liquid full is to be rotated in the vertical plane. What minimum angular velocity in radians/sec is needed to keep the liquid not spilling if the rotating arm is 1.2 meters? Answer: D
A. 2.26 B. 25.6 C. 3.16 D. 2.86
9. Compute the speed a satellite to orbit the earth at an elevation of 100 km. Earth’s radius is at 6400 km. Assume no change in gravity with the elevation. Answer: D
A. 6320 m/s B. 7120 m/s C. 8740 m/s D. 7985 m/s
10. An elevator weighing 2000 lbs is moving vertically upward with an acceleration of 3 ft/s2. A man standing in said elevator weighs 180 lbs.Compute the tension in the supporting cable under this condition. Answer: D
A. 2180 lbs B. 2191 lbs C. 1820 lbs D. 2383 lbs
11. The capsule orbits the earth 180 km above the surface. In what velocity in m/s necessary for a circular orbit to consider the earth radius at 6400 km and 9.2 m/s2? Answer: C
A. 8864 B. 7016 C. 7780 D. 8058
12. A truck skids to a stop 60 m after the application of the brakes while travelling at 90 km/hr. What is its acceleration in m/sec2? Answer: A
A. -5.21 m/s2 B. -7.06 C. 6.36 D. 5.76
13. A drop hammer of 1 ton dead weight capacity is propelled downward by a 12 in diameter cylinder. At 100 psi air pressure, what is the impact velocity if the stroke is 28 inches? Answer: B
A. 63.2 fps B. 31.6 C. 15.8 D. 47.4
14. A flywheel rotates at 120 rpm or 12.57 rad/sec slowed down to 102 rpm or 10.68 rad/sec during the punching operation that requires ¾ second of the punching portion of the cycle. Compute the angular acceleration of the flywheel in rad/sec2. Answer: A
A. -2.52 rad/s2 B. -2.75 rad/s2 C. 3.15 rad/s2 D. 2.22 rad/s2
15. A 2-ton weight is lowered at a constant acceleration of 2 ft/s2. What is the cable stress? Answer: C A. 4344.34 lb
B. 5344.56 lb C. 3751.55 lb D. 6356.24 lb
16. The speedometer of a vehicle changes from 20 km/hr to 80 km/hr in 10 seconds. Find the acceleration for this period in m/s2. Answer: A
A.1.67 B. 6.34 C. 2.34 D. 8.45
17. A car changes accelerates its speed from 20 m/s to 50 m/s in 10 sec. Find the distance travelled during the period of acceleration. Answer: A
A. 350 m B. 500 m C. 400 m D. 600 m
18. A box sliding on a floor has a frictional resistance of 100 N. If the coefficient of friction is 0.3, find the weight of the box. Answer: D
A. 222.22 N B. 111.11 N C. 444.44 N D. 333.33 N
19. An object dropped on a gravity travels 300 m after how many seconds? Answer: C
A. 5.34 sec B. 6.34 sec C. 7.82 sec D. 10.23 sec
20. An object is projected upward at the rate of 40 m/s. How high will the object rise? Answer: D
A. 54.34 m B. 76.45 m C. 65.34 m D. 81.55 m
21. A stone is projected upward from the ground travels a maximum height of 50 m. Find the velocity of stone when it returns to the ground. Answer: A
A. 31.32 m/sec B. 54.34 m/sec C. 43.23 m/sec D. 23.45 m/sec
22. An object is projected upward at the rate of 45 m/s at 300 from the horizontal. Find the maximum range of projectile. Answer: A
A. 178.77 m B. 165.34 m C. 189.34 m D. 109.34 m
23. A capsule orbits the earth at the rate of 6000 m/s. If the radius of earth is 3000 km, find the height of capsule from the surface of the earth. Answer: B
A. 435.66 m B. 669.72 m C. 543.23 m D. 785.45 m
24. A car that travels 100 mph reduces its speed 50 mph in 30 seconds. Find the distance travelled by the car until it stops. Answer: A
A. 4402.10 m B. 3452.34 m C. 5434.56 m D. 6456.35 m
25. A car travelling at 40 m/s in a radius of 1000 m will have a banking angle of:. Answer: C A. 7.340 B. 183.40 C. 9.360 D. 12.30 MACHINE SHOP
1. Determine the time in seconds, to saw a rectangular magnesium bar 5 in wide and 2 in thick if the length of cut is 5 in. The power hacksaw does 120 strokes/min and the feed/stroke is 0.127 mm.
Answer: B
A. 189 B. 500 C. 99 D. 20
2. In an Oxy-Acetylene manual welding method, to weld a 3 ½ ft long seam in a 0.375” thick steel plate at a consumption rate of 9 ft3/ft for oxygen and 7 ft3/ft for acetylene. Compute for the total combined gas consumption in ft3. Answer: C
A. 189 B. 500 C. 99 D. 20
3. Compute for the drill penetration in in/min when a drill turns at 1200 rpm and the feed of 0.005 in/rev. Material is steel. Answer: D
A. 1.8 B. 3.6 C. 12 D. 6
4. What is the value in degrees of 1 radian? Answer: C
A. 57.490 B. 57.940 C. 57.290 D. 57.920
5. Compute the manual cutting time in minutes, of steel plate 4 ft by 8 ft by 2.5 cm thick with a hand cutting speed of 3.8 to 4 mm/sec, cutting lengthwise Answer: A
A. 10 B. 1.81 C. 0.38 D. 8.16
6. Compute the cutting speed in fpm of a workpiece with 2 inches diameter and running at 100 rpm.
Answer: A
A. 52 B. 62 C. 25 D. 26
7. Compute the cutting speed in fpm of a workpiece with 2 inches diameter and turning at 100 rpm. Answer: D A. 72 B. 102 C. 62 D. 52
8. Determine the average time to cut by automatic oxyacetylene (machine) crosswise a 4 ft x 8 ft x 4 in thick steel plate. Answer: B
A. 6.85 B. 318 C. 10 D. 360
9. Calculate the rpm for machining a cast iron workpiece 6 inches in diameter. The lowest cutting speed for cast iron is 50 fpm. Answer: C
A. 35.3 B. 43.3 C. 33.3 D. 53.32
10. With the arc welding rate of 18 in/min, how long will it take to weld ½ in thick plate by 3 feet long seam? Answer: C
A. 3 min B. 1.5 min C. 2 min D. 4 min
11. How long will it take to mill a ¾” by 2” long keyway in a 3” diameter shafting with a 24 tooth cutter turning at 100 rpm and a 0.005” feed/tooth? Answer: B
A. 0.136 min B. 0.166 min C. 0.196 min D. 0.106 min
12. How long will it take to saw a rectangular piece of aluminum plate 8 in wide and 1 ½ in thick if the length of the cut is 8 in, the power hacksaw makes 120 rev/min and average feed per stroke is 0.0060 in? Answer: C
A. 13.11 B. 14.01 C. 11.11 D. 12.03
13. Using oxy-acetylene welding method to weld a 3 ft long seam in a 3/8 in thick plate at a consumption rate of 9 ft3/ft of weld for oxygen and 7 ft3/ft for acetylene. What is the total combined gas consumption in ft3? Answer: C
A. 51 B. 45 C. 48 D. 55
14. A grinding wheel rotates 1750 rpm and has a surface speed of 2290 ft/min. Find the diameter of the wheel in inches. Answer: B
A. 3 in B. 5 in C. 4 in D. 6 in
15. To facilitate the milling (roughing) work of a cast steel material using a 1 ½ inch diameter cutter choose between the two available stock. Find the speed of the cutter in rpm. –high speed steel cutter with a cutting speed of 50 fpm- carbide tipped cutter with cutting speed of 200 fpm.. Answer: B
A. 389 B. 509 C. 572 D. 412
16. A piston reciprocates 100 times per minute (single stroke). The length of the stroke is 6 in. What is the average wristpin velocity in ft/min? Answer: A
A. 50 ft/min B. 100 ft/min C. 75 ft/min D. 125 ft/min
17. A workpiece turning at 300 rpm has a tangential speed of 15 ft/s. Find the diameter of the workpiece.
Answer: A
A. 11.46 in B. 15.23 in C. 13.23 in D. 17.34 in
18. A workpiece turning at 20 rad/sec has diameter of 4 in. Find the peripheral speed of workpiece.
Answer: B
A. 1.23 fps B. 3.33 fps C. 5.23 fps D. 7.34 fps
19. Two plates 4 ft x 8 ft plate ½ in thick is to be joined lengthwise. A welding machine to be used has a welding rate of 20 in/min. How long will it take to join the plates? Answer: C
A. 7.34 min B. 1.23 min C. 4.80 min D. 6.45 min
20. A 10 ft long seam can be weld in 10 min. the welding rate is: Answer: B
A. 8 in/min B. 12 in/min C. 10 in/min D. 14 in/min
21. A seam can be weld in 3 min. If the welding rate is 15 in/min, find the length of the seam. Answer: D A. 20 in B. 30 in C. 25 in D. 45 in
22. How long will it take to mill ½“by 1.5“long keyway by means of 25 teeth cutter turning at 120 rpm and 0.008” feed/tooth. Answer: D
A. 1.23 sec B. 6.34 sec C. 4.23 sec D. 3.75 sec
23. A 5 in long keyway is to be mill at the rate of 0.2 in/min. How long will it take to mill the keyway?
Answer: C
A. 20 sec B. 15 sec C. 25 sec D. 30 sec
24. It takes 1 min to mill a ¾” x 4” keyway of a hub by means of a cutter having 30 teeth at 120 rpm. Find the equivalent feed per tooth, in/tooth. Answer: D
A. 0.00222 B. 0.00444 C. 0.00333 D. 0.00111
25. How long will it take to cut a rectangular plate 4 ft wide by means of a saw that has a speed of 160 rev/min and an average feed per stroke of 0.009 in? Answer: B
A. 22.22 min B. 33.33 min C. 55.55 min D. 44.44 min
26. A 4 ft wide x 8 ft long and ½ in thick steel plate is be cut into 4 equal parts crosswise. If cutting rate is 0.02 in/stroke and saw speed is 110 rpm, how long will it take to do the job? Answer: C
A. 53.45 min B. 34.23 min C. 65.45 min D. 67.45 min
27. It takes 5 min to cut a plate 20 ft long by means of a saw having a speed of 250 rpm. What is the average feed per stroke of the saw, in/stroke? Answer: B
A. 0.534 B. 0.192 C. 0.745 D. 0.342
28. An oxyacetylene cutter is use to cut a 4 ft x 8 ft steel plate crosswise and divided the whole plate into five equal parts. If the cutting rate is 10 in per minute, how long will it take to cut plates? Answer: A
A. 19.20 min B. 13.45 min C. 21.23 min D. 17.34 min
29. Using oxyacetylene welding method to weld a 10 ft long seam in a ½ in thick plate at a consumption rate of 10 ft3/ft oxygen and 8 ft3/ft for acetylene. What is the total gas consumption? Answer: D
A. 150 ft3 B. 170 ft3 C. 160 ft3 D. 180 ft3
30. A 24 ft2 lateral surface for a cylindrical tank is to be made by joining 2 ft by 2 ft steel plate to form 6 ft x 4 ft. The consumption rate for both oxygen and nitrogen is 20 ft3/ft using oxyacetylene welding method. Find total gas consumption needed, ft3? Answer: D
A. 250 ft3 B. 470 ft3 C. 440 ft3 D. 280 ft3
31. A 10 ft x 20 ft plate is to be divided into 8 pieces 5 ft x 5 ft steel plate by means of an oxyacetylene cutter that has a cutting rate of 10 in per minute. How long will it takes to do the job? Answer: C
A. 50 min B. 70 min C. 60 min D. 80 min
MACHINE ELEMENTS
1. Two parallel shafts connected by pure rolling turn in the same direction having a speed of 2.75. What is the distance of the shafts if the smaller cylinder is 32 cm in diameter? Answer: D
A. 16.67 cm B. 25.25 cm C. 30.25 cm D. 19.25 cm
2. A lineshaft runs at 360 rpm. An 18” pulley on the shaft is belt connected to a 12” pulley on the countershaft. From a 15” pulley on the countershaft, motion is transmitted to the machine. Compute/ check the required diameter of the pulley on the machine to give a spindle speed of 660 rpm.
Answer: B
A. 16” B. 12 ¼ C. 10 ½ D. 8 ½
3. A 5 ft diameter pulley is turning at 200 rpm. Find the speed of the pulley mid-way of the center and outer surface of the pulley. Answer: D
B. 30.45 ft/s C. 24.34 ft/s D. 26.18 ft/s
4. A wheel is turning at 360 rpm. If tangential speed of the wheel is 150.80 ft/s, what is the radius of the flywheel? Answer: C
A. 8 ft B. 2 ft C. 4 ft D. 10 ft
5. Two cylinders rolling in opposite direction has a speed ratio of 3. If the center distance is 40 in, find the diameter of smaller cylinder. Answer: A
A. 20 in B. 60 in C. 40 in D. 80 in
6. Three cylinders A:B:C rolling in external contact has a speed ratio of 4:2:1. If the diameter of cylinder A is 10 cm, find the center distance between cylinder A and C. Answer: C
A. 40 cm B. 35 cm C. 45 cm D. 50 cm
7. Four cylinders A:B:C:D has a speed ratio of 6:4:2:1. If the center distance between cylinder A and C is 30 inches, find the center distance A and D. Answer: A
A. 68.57 m B. 83.45 m C. 56.34 m D. 76.34 m
STRESSES
1. A steel rod 30 mm & 800 mm long has an allowance elongation not to exceed 1.5 mm, find the allowable load in KN. Answer: A
A. 274 B. 248 C. 316 D. 236
2. Compute the induced/compressive stress, in kpa, of a steel solid shafting of 50 mm diameter and 800 mm in length that is subjected to an increase of temperature by 800 C. Answer: D
A. 181,816 B. 242,816 C. 218,182 D. 196,560
3. Compute for the load in KN on a 3 cm diameter, 100 cm long steel rod if its maximum elongation exceed 0.12 cm. Answer: A
B. 196 C. 148 D. 287
4. Compute for the polar section modulus of a SAE 1060 shafting having a diameter of 3 inches. Use a factor of safety of 2 and design stress at 800 psi. Answer: D
A. 4.7 B. 6.1 C. 4.2 D. 5.3
5. Compute the allowable load in KN on a 20 mm x 120 cm long steel rod with a maximum elongation must not exceed 1 mm. Answer: B
A. 35 B. 55 C. 66 D. 76
6. Determine the load in KW on a 25 mm diameter x 1200 mm long steel shaft if its maximum elongation exceeds 1 mm. Answer: A
A. 83 B. 125 C. 103 D. 234
7. The total weight of steel plates ¾” x 3’ x 20’ is: Answer: A
A. 1838 lbs B. 1698 lbs C. 3676 lbs D. 1848 lbs
8. What pressure is required for punching a hole 2 inches in diameter thru a ¼ in steel plate? Answer: D
A. 10 tons B. 30 tons C. 20 tons D. 40 tons
9. A link has a load factor of 0.8, the surface is 0.92 and the endurance strength is 28,000 psi. Compute the alternating stress of the link if it is subjected to a reversing load. Assume a factor of safety of 3.
Answer: C
A. 8150 B. 10920 C. 9333 D. 7260
10. Determine the minimum mean diameter of a taper pin for use to fix a lever to shaft, if it is transmit a maximum torque of 700 in-lbs. The shaft diameter is 2 inches and the material allowable stresses is 15,000 psi. Use factor of safety of 2. Answer: D
A. 7 mm B. 7.2 mm
C. 5.2 mm D. 6.2 mm
11. How many 5/16 inch holes can be punched in one motion in a steel plate made of SAE 1010 steel, 7/16 inch thick using a force of 55 tons. The ultimate strength for shear is 50 ksi and use 2 factor of safety. Answer: C
A. 5.8 B. 3.7 C. 5 D.6.2
12. The shaft whose torque varies from 2000 to 6000 in-lbs has 1 ½ inches in diameter and 60,000 psi yield strength. Compute for the shaft mean average stress. Answer: A
A. 6036 psi B. 6810 psi C. 5162 psi D. 5550 psi
13. A journal bearing with diameter of 76.2 mm is subjected to a load of 4900 N while rotating at 200 rpm. If its coefficient of friction is 0.02 and L/D = 2.5, find its projected area in mm2. Answer: D
A. 12090 B. 13050 C. 14165 D. 14516
14. A steel tie rod on bridge must be made withstand a pull of 5000 lbs. Find the diameter of the rod assuming a factor of safety of 5 and ultimate stress of 64,000 psi. Answer: C
A. 0.75 B. 0.84 C. 0.71 D. 0.79
15. If the weight of 6” diameter by 48” long SAE 1030 shafting is 174.5 kg, then what will be the weight of chromium SAE 51416 of same size? Answer: B
A. 305.5 lbs B. 384.6 lbs C. 426.4 lbs D. 465.1 lbs
16. If the ultimate shear strength of a steel plates is 42,000 psi, what force is necessary to punch a 0.75 inch diameter hole in a 0.625 inch thick plate? Answer: B
A. 63,008 lbs B. 61,800 lbs C. 68,080 lbs D. 66,800 lbs
17. What is the modulus of elasticity if the stress is 4,000 psi and unit a strain of 0.00105? Answer: A
A. 41.905 x 106 B. 42.300 x 106 C. 41.202 x 106 D. 43.101 x 106
18. A 2.5 in diameter by 2 in long journal bearing is to carry a 5500-lb load at 3600 rpm using SAE 40 lube oil at 2000F through a single hole at 25 psi. Compute the bearing pressure. Answer: A
A. 1100 psi B. 1000 psi C. 900 psi D. 950 psi
19. It is a problem of expansion and shrinkage of steel material so that the slightly bigger shafting of 2” diameter can be inserted/fitted to the slightly smaller holes of a steel bushing of 1.999” diameter with the following process/material/data to apply: Coefficient of expansion of carbon steel = 0.0000068 “/”0F temperature raised by gas heating = 24.5 0F. Cooling media to use dry ice with boiling point of -109.30F (-78.50C). Shrinkage rate below boiling point is 0.00073 in/in. Determine the final clearance between the expanded steel bushing hole against the shrinkage of steel shaft. Answer: A
A. 0.000793” B. 0.000693” C. 0.000750” D. 0.000800”
20. What modulus of elasticity in tension is required to obtain a unit deformation of 0.00105 m/m from a load producing a unit tensile stress of 44,000 psi? Answer: D
A. 42.300 x 106 psi B. 43.101 x 106 psi C. 41.202 x 106 psi D. 41.905 x 106 psi
21. What force P is required to punch a ½ in hole on a 3/8 in thick plate if the ultimate shear strength of the plate is 42,000 psi? Answer: D
A. 24,940 lbs B. 24,960 lbs C. 24,620 lbs D. 24,740 lbs
22. What pressure is required to punch a hole 2” diameter through a ¼” steel plate? Answer: D
A. 10 tons B. 30 tons C. 20 tons D. 40 tons
23. Compute the working strength of 1” bolt which is screwed up tightly in packed joint when the allowable working stress is 13,000 psi. Answer: B
A. 3600 lbs B. 3900 lbs C. 3950 lbs D. 3800 lbs
24. What is the working strength of a 2” bolt which is screwed up tightly in a packed jointly when the allowable working stress 12,000 psi? Answer: B
A. 20,120 lbs B. 20,400 lbs C. 20,100 lbs D. 20,200 lbs
25. Determine the estimated weight of an A-36 steel plate size ½” x 4” x 8’. Answer: D
B. 301 kgs C. 332 kgs D. 297 kgs
26. Determine the estimated weight of an A-36 steel plate size 3/16” x 6’ x 20’. Answer: A
A. 919 lbs B. 829 lbs C. 1012 lbs D. 735 lbs
27. A 19 mm stud bolts is used to fastened on a 250 mm diameter cylinder head of diesel engine. If there are 10 stud bolts, determine the pressure inside the cylinder if bolt stress is limited to 50 Mpa.
Answer: A
A. 288.8 Kpa B. 2888 Kpa C. 3426 Kpa D. 4828 Kpa
28. A 19 mm stud bolts is used to fastened on a 250 mm diameter cylinder head of diesel engine. If there are 10 stud bolts, determine the pressure inside the cylinder if bolt stress is limited to 50 Mpa.
Answer: A
A. 288.8 Kpa B. 2888 Kpa C. 3426 Kpa D. 4828 Kpa
29. A column supports a compressive load of 250 KN. Determine the outside diameter of column if inside diameter is 185 mm and compressive stress of 50 Mpa. Answer: B
A. 200.62 mm B. 201.47 mm C. 216.42 mm D. 208.41 mm
30. A steel hollow tube is use to carry a tensile load of 500 KN at a stress of 140 Mpa. If outside diameter is 10 times the tube thickness, find the thickness of the tube. Answer: A
A. 11.24 mm B. 107 mm C. 20.64 mm D. 22.61 mm
31. A 20 mm diameter rivet is used to fastened two 25 mm thick plate. If the shearing stress is 80 Mpa. What tensile force applied each plate to shear the bolt?. Answer: D
A. 26.35 KN B. 28.42 KN C. 30.41 KN D.25.13 KN
32. What force is necessary to punch a 30 mm hole in 12.5 mm thick plate if ultimate shear stress is 410 Mpa? Answer: C
B. 342 KN C. 483 KN D. 983 KN
33. Two 30 mm thick plate is fastened by two bolts, 25 mm in diameter. If the plates is subjected to 50 KN tension, find the bearing stress in bolts. Answer: A
A. 33,333.33 Kpa B. 4444.44 Kpa C. 5555.55 Kpa D. 555,555 Kpa
34. A 2.5 inches shaft is subjected to 3 KN-m torque. Find the stress developed. Answer: C
A. 48.62 Mpa B. 52.75 Mpa C. 59.68 Mpa D. 38.64 Mpa
35. A shaft when subjected to pure tension developed a stress of 50 Mpa. If the polar moment of inertia is 6.1359 x 10-7 m4, determine the maximum torque the shaft could handle. Answer: A
A. 1.23 KN B. 1.68 KN C. 1.84 KN D. 2.48 KN
36. What is the modulus of elasticity if the stress is 300 Mpa and strain of 0.00138? Answer: A
A. 217.39 x 103 Mpa B. 200.61 x 103 Mpa C. 220.61 Mpa D. 215.21 Mpa
37. In a 2.0 m cantilevered I-beam, a 2 Mton weight is applied at the free end. If the allowable stress in beam is 110 Mpa, determine the section modulus. Answer: B
A. 18.54 in3 B. 21.77 in3 C. 26.83 in3 D. 24.28 in3
38. A 5 KN force acting at the end of a 3 m cantilever beam. If section modulus of the beam is 10 in3, what is the stress induced? Answer: D
A. 86,285 Kpa B. 78,318 Kpa C. 29,684 Kpa D. 91,535 Kpa
39. A 6 mm steel wire is 5 m long and stretches 8 mm under a given load. If the modulus of elasticity is 200 Gpa, find the load applied. Answer: C
A. 7 KN B. 8 KN C. 9 KN D. 10 KN
40. A steel wire 10 m long, hanging vertically supports a tensile load of 2 KN. Neglecting the weight of wire, determine the required diameter if the stress is not to exceed 140 Mpa and the total elongation is not to exceed 5 mm. Assume E = 200 Gpa.. Answer: D
A. 2 mm B. 3 mm C. 4 mm D. 5 mm
41. An iron rod 4 m long and 0.5 cm2 in cross section stretches 1 mm when a mass of 225 kg is hang on it. Compute the modulus of elasticity of the iron. Answer: A
A. 176. 58 Gpa B. 169.81 Gpa C. 160.41 Gpa D. 180.26 Gpa
42. A 20 m rod is stretches to a strain of 0.001. Determine the deflection of the rod. Answer: A
A. 20 mm B. 25 mm C. 30 mm D. 35 mm
43. A rail having a coefficient of linear expansion of 11.6 x 10-6 m/m-0C increases its length when heated from 700F to 1130F. Determine the strain. Answer: D
A. 2.04 x 10-4 B. 6.05 x 10-4 C. 4.21 x 10-4 D. 2.77 x 10-4
44. What temperature will the rails just touch if steel railroad is 10 m long are laid with clearance of 3 mm at initial temperature of 150C? Use k = 11.7 x 10-6 m/m-0C Answer: B
A. 35.64 0C B. 40.64 0C C. 45.64 0C D. 50.64 0C
45. For a given material, the modulus of elasticity is 100 GN/m2 in tension and 40 GN/m2 in shear. Find the Poisson’s ratio. Answer: C
A. 0.10 B. 0.50 C. 0.25 D. 0.35
46. A 25 mm shaft is keyed to a 300 mm diameter pulley and transmits 3 KW of power. The keyed assembly rotates at 1725 rpm. What is the tangential force at the key? Answer: A
A. 1.33 KN B. 5.23 KN C. 2.33 KN D. 8.34 KN
47. What force is necessary to punch a 1 in hole in a 1/8 in steel plate if the ultimate shearing stress is 60,000 psi and the ultimate compressive stress is 80,000 psi? Answer: D
A. 34,520.34 lbs B. 8,345.56 lbs C. 12,344.56 lbs D. 23,561.90 lbs
48. A U-bolt supports a load of 6000 lb. The cross section of the bolt has a diameter of ½ inch. How much stress is induced in the sides of the bolt? Answer: D
A. 12,734.45 psi B. 14,567.23 psi C. 13,345.56 psi D. 15,278.12 psi
49. A 1 inch diameter shaft has a 2 in diameter collar resting on a support. The axial load on the shaft is 10,000 lb and the thickness of the collar is ½ in. How much shearing stress is induced? Answer: A
A. 6366.20 psi B. 4234.56 psi C. 5244.56 psi D. 8456.34 psi
50. A hollow rivet has an outside diameter of 5 mm and an inside diameter of 3mm. If the allowable shearing stress is 400 x 106 N/m2, what maximum shearing force can the rivet sustain if subjected to double shear? Answer: A
A. 10 KN B. 20 KN C. 15 KN D. 25 KN
51. A vertical load of 400 Newtons acts at the end of a horizontal rectangular cantilever beam 2 m long and 25 mm wide. If the allowable bending stress is 130 MN/m2, find the depth of the beam in mm.
Answer: B
A. 23.44 mm B. 38.43 mm C. 30.23 mm D. 43.23 mm
52. A simply supported timber beam is 50 mm by 200 mm in cross section and 4 m long. If the fiber stress is not to exceed 8.3 Mpa and the beam weight is neglected, find the maximum mid-span concentrated load that the beam can support if the 200 mm dimension is vertically oriented.
Answer: A
A. 2,766.67 N B. 3,233.45 N C. 2,345.56 N D. 1,234.45 N
53. A lap joint consists of steel plate 250 mm by 18 mm in thickness is connected by 4-20 mm diameter rivets. Compute the bearing capacity of the rivet connection if the allowable bearing stress is 210 Mpa. Answer: A
A. 302,400 N B. 360,200 N
C. 420,340 N D. 460,240 N
54. A steel hanger of 2 m length is to carry an axial load of 18 KN. If the tensile stress is restricted to 104 Mpa and the elongation caused by this load is restricted to 1mm, what is the minimum cross-sectional area the member can have? E = 200,000 Mpa . Answer: A
A. 180 mm2 B. 173 mm2 C. 164 mm2 D. 190 mm2
55. A short hollow steel cylinder with a wall thickness of 38 mm is to carry a compression load, applied uniformly on the end, of 7,800 KN. If the allowable working stress in steel in compression is 138 Mpa, then the minimum outside diameter of the cylinder required to safely support the load is:
Answer: A
A. 512 mm B. 482 mm C. 396 mm D. 460 mm
56. A 25 mm diameter steel bar is loaded in double shear until failure, the ultimate load is found to be 446 KN. If the allowable stress is based on a factor of safety of 3 what must be the diameter of a pin designed for an allowable load of 26 KN in single shear be? Answer: A
A. 14.79 mm B. 15.64 mm C. 13.24 mm D. 12.63 mm
57. A steel bar, initially free of stress, is held between rigid supports. Determine the stress in the bar if temperature drops 1300F. K = 6.5 x 10-6 in/0F, E = 30 x 10 6 psi Answer: A
A. 25,350 psi B. 26,234 psi C. 24,896 psi D. 23,654 psi
58. A steel rod with a cross sectional area of 16o mm2 is to be attached between two fixed points 1.25 m apart. If the rod is too short by 0.25 mm, find the stress applied to put the rod back to fitness. E = 200,000 Mpa Answer: A A. 40 Mpa B. 30 Mpa C. 50 Mpa D. 60 Mpa SHAFT
1. Compute for the twisting moment in in-lb developed when the shaft delivers 20 hp at 1200 rpm.
Answer: C
B. 915 C. 1050 D. 945
2. Find the torsional deflection, in degrees, of a solid steel shaft, 110 mm OD x 1.4 m long subject to 3.1 x 106 N-mm torque. The torsional modulus of elasticity is 80,000 N/mm-mm. Answer: D
A. 0.221 B. 0.195 C. 0.28 D. 0.21
3. Compute for the torsional deflection, in degrees, of a 110 mm diameter, 1.4 m long shaft subjected to a twist moment of 3 x 106 N.mm. The torsional modulus of elasticity is 83000 N/mm2. Answer: C
A. 0.27 B. 0.31 C. 0.20 D. 0.24
4. Find the torsional moment (in Newton-mm), developed when the shaft delivers 20 KW at 200 rpm.
Answer: B
A. 0.75 x 106 B. 1.0 x 106 C. 1.20 x 106 D. 2.10 x 106
5. A 102 mm diameter shaft is driven at 3000 rpm by a 300 hp prime mover. The shaft drives a 121.9 cm diameter chain sprocket having 85% output efficiency. Compute the torque in in-lb developed in the shaft. Answer: D
A. 5,600 B. 7,100 C. 8,150 D. 6,300
6. A 3 in diameter short shaft carrying pulleys close to the bearings transmit how much horsepower if the shaft makes 280 rpm? Answer: C
A. 991 hp B. 919 hp C. 199 hp D. 260 hp
7. What power would the spindle 55 mm in diameter transmit at 480 rpm stress allowed for short shaft is 59 N/mm2? Answer: B
A. 98.68 KW B. 96.88 KW C. 68.98 KW D. 68.89 KW
8. A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m. Compute the torque if the shear stress is not to exceed 120 Mpa in N-m. Answer: C
A. 4,400 N-m B. 4,300 N-m C. 4,500 N-m D. 4,200 N-m
9. What power would a spindle 55 mm in diameter transmit at 480 rpm. Stress allowed for short shaft is 59 N/mm2. Answer: No correct answer in the given choices.
A. 45.12 kw B. 50.61 kw C. 45 hp D. 39.21 hp
10. A small countershaft is 1 ½ inch in diameter and has an allowable stress of 8500 psi. Find the horsepower delivered by the shaft at a speed of 15.7 rad/s. Answer: C
A. 7.20 B. 1.4 C. 13.31 D. 14.72
11. Determine the torque received by the motor shaft running at 4250 rpm, transmitting 11 HP, through a 10 in diameter, 200 involute gear. The shaft is supported by the ball bearings at both ends and the gear is fixed at the middle of 8 in shaft length. Answer: A
A. 163 in-lb B. 167 in-lb C. 132 in-lb D. 138 in-lb
12. A 16 ft lineshaft has no bending action except its own weight. What power in HP can the shaft deliver at a speed of 200 rpm. Consider that the torsional deflection will not exceed 0.08/ft length..
Answer: D
A. 13.2 B. 15.8 C. 24.4 D. 14.6
13. The torsional deflection of a SAE 1040 steel shaft is 0.80 in a length of ½ m. The shear stress is 69 Mpa. Compute the diameter of the shaft in millimeter. Steel modulus of elasticity is 79,300 Mpa or N/mm2. Answer: D
A. 51 B. 50 C. 75 D. 62
14. Compute the diameter of a solid shaft transmitting 75 Hp at 1800 rpm. The nature of the load and the type of service is such that the allowable SS based on pure torsion is 6000 psi.. Answer: C
A. 1 7/7” B. 2 1/16” C. 1 5/16” D. 3 1/8”
15. The shaft is subjected to a steady load of 36,000 lbs at a shear stress of 10,000 psi. Compute the diameter of the said shaft in inches. Answer: C
A. 1 7/8 B. 2 1/4 C. 3 D. 2 3/4
16. Determine the torque received by the motor shaft running at 4250 rpm, transmitting 11 HP, through a 10 in diameter, 200 involute gear. The shaft is supported by the ball bearings at both ends and the gear is fixed at the shaft length. Answer: A
A. 163 in-lb B. 132 in-lb C. 167 in-lb D. 138 in-lb
17. Compute the maximum unit shear in a 3 inches diameter steel shafting that transmits 24,000 in-lb of torque at 99 rpm. Answer: A
A. 4530 psi B. 3860 psi C. 4250 psi D. 4930 psi
18. Compute the linear shaft diameter to transmits 12 Hp at 180 rpm with torsional deflection of 0.08 degrees per foot length. Answer: B
A. 3 in B. 2.35 in C. 5 cm D. 62 mm
19. Compute the nominal shear stress at the surface in Mpa for a 40 mm diameter shaft that transmit 750 Kw at 1500 rpm. Axial and bending loads are assumed negligible. Torsional shearing stress is 28 N/mm2. Answer: D
A. 218 B. 232 C. 312 D. 380
20. A hollow shaft has inner diameter of 0.035 m and outer diameter of 0.06 m. Compute for the torque if the shear stress is not to exceed 120 Mpa in N-m. Answer: A
A. 4500 B. 4300 C. 4100 D. 4150
21. Design the size of solid steel shaft to be used for a 500 Hp, 250 rpm application if the allowable torsional deflection is 10 and the allowable stress is 10,000 psi and modulus of rigidity is 13 x 106 psi. Answer: B
B. 4-7/8” dia. C. 4-5/8” dia. D. 4-3/4” dia.
22. A 2-in solid shaft is driven by a 36-in, gear and transmit power at 120 rpm. If the allowable shearing stress is 12 ksi, what horsepower can be transmitted? Answer: C
A. 29.89 B. 38.89 C. 35.89 D. 34.89
23. A short 61 mm diameter shaft transmits 120 Hp. Compute the linear speed of a pulley 55 cm diameter mounted on the shaft. Answer: B
A. 1796 fpm B. 1870 fpm C. 1766 fpm D. 2106 fpm
24. A hollow shaft has inner diameter of 0.035 m and outer diameter of 0.06 m. Determine the polar moment of inertia of the hollow shaft. Answer: D
A. 1.512 x 10-6 m4 B. 1.152 x 10-6 m4 C. 1.215 x 10-6 m4 D. 1.125 x 10-6 m4
25. Compute the speed of the gear mounted on a 52.5 mm diameter shaft receiving power from a driving motor with 250 Hp. Answer: B
A. 2182 rpm B. 2282 rpm C. 2071 rpm D. 2341 rpm
26. A solid cylindrical shaft 48.2 cm long is used for a transmission of mechanical power at a rate of 37 KW running at 1760 rpm. The SS is 8.13 Mpa. Calculate the diameter. Answer: D
A. 30 mm B. 40 mm C. 35 mm D. 50 mm
27. A hollow shaft with outside diameter of 14 cm and wall thickness of 0.8 cm transmits 200 Kw at 400 rpm. What must be the angular deflection of the shaft if the length is 5 meters? The material of the shaft is C4140 steel. Answer: B
A. 0.84 deg B. 1.14 deg C. 1.83 deg D. 1.50 deg
28. A 3” diameter short shaft carrying 2 inches pulleys close to the bearings transmit how much power if the shaft makes 280 rpm. Answer: A
A. 199 Hp B. 200 Hp
C. 198 Hp D. 210 Hp
29. A step shaft made of SAE 1117 steel with an ultimate strength of 69.7 ksi. The notch sensitivity factor is 0.00435 is the constant dependent upon the ultimate strength, check the radius stress raiser.
Answer: C
A. 0.192 B. 0.386 C. 0.250 D. 0.775
30. A shaft is used to transmit 200 Kw at 300 rpm by means of a 200 mm diameter sprocket. Determine the force tangent to the sprocket. Answer: D
A. 60.44 KN B. 60.33 KN C. 60.88 KN D. 63.66 KN
31. Find the diameter of a steel shaft which will be used to operate a 110 Kw motor rotating at 5 rps if torsional stress is 90 Mpa. Answer: B
A. 60.2 mm B. 58.3 mm C. 38.3 mm D. 46.2 mm
32. What is the speed of 63.42 mm shaft that transmit 75 Kw if stress is not to exceed 26 Mpa. Answer: A
A. 550 rpm B. 660 rpm C. 650 rpm D. 650 rpm
33. A steel shaft transmits 50 Hp at 1400 rpm. If allowable stress is 500 psi, find the shaft diameter.
Answer: B
A. 3.58 in B. 2.84 in C. 1.65 in D. 2.54 in
34. A hollow shaft that has a 100 mm outside diameter and 80 mm inside diameter is used to transmit 100 Kw at 600 rpm. Determine the shaft stress. Answer: A
A. 13.73 Mpa B. 16.82 Mpa C. 19.86 Mpa D. 17.21 Mpa
35. Determine the length of the shortest 2 mm diameter bronze wire which can be twisted through two complete turns without exceeding a shearing stress of 70 Mpa. G = 35,000 Mpa. Answer: A
A. 6,283 mm B. 5,484 mm C. 4,836 mm
D. 7,263 mm
36. A hollow shaft developed a torque of 5 KN-m and shaft stress is 40 Mpa. If outside diameter of shaft is 100 mm, determine the shaft inner diameter. Answer: D
A. 68.43 mm B. 63.28 mm C. 58.38 mm D. 77.64 mm
37. What is the polar moment of inertia of a solid shaft that has a torque of 1.5 KN-m and a stress of 25 Mpa? Answer: B
A. 2.46 x 10-6 m4 B. 2.02 x 10-6 m4 C. 3.46 x 10-6 m4 D. 1.24 x 10-6 m4
38. A force tangent to a foot diameter pulley is 5 KN and is mounted on a 2 inches shaft. Determine the torsional deflection if G = 83 x 106 Kpa. Answer: A
A. 0.805 0/m B. 0.654 0/m C. 0.768 0/m D. 0.938 0/m
39. What is the minimum diameter of a steel shaft which will be used to operate a 14 KN-m torque and will not twist more than 30 in a length of 6 m? ( G = 83 x 106 Kpa) Answer: C
A. 100.64 mm B. 96.80 mm C. 118.45 mm D. 120.72 mm
40. A solid shaft 5 m long is stressed to 60 Mpa when twisted through 40. Find the shaft diameter if G = 83 Gpa. Answer: D
A. 95.64 mm B. 90.42 mm C. 101.32 mm D. 103.54 mm
41. What is the diameter of a line shaft that transmit 150 Kw at 15 rps? Answer: A
A. 2.28 in B. 3.54 in C. 1.62 in D. 2.04 in
42. A main shaft has 50 mm diameter is running at 300 rpm. What power that could be delivered by the shaft? Answer: B
A. 3.40 Hp B. 28.60 Hp C. 32.50 Hp D. 16.42 Hp
43. A 1.5 in diameter short shaft is used to transmit 44.4 Hp. Determine the shaft speed. Answer: B
A. 500 rps B. 8.33 rps C. 400 rps D. 450 rps
44. A 3 in solid shaft is desired to replaced a hollow shaft having 4 in outside diameter. Consider the strength to be the same, determine the inside diameter of hollow shaft. Answer: C
A. 2.5 in B. 3.0 in C. 3.48 in D. 4.0 in
45. A motor is used to drive a centrifugal pump that discharges 3000 li/min at a head of 10 m. The pump efficiency is 68% and running at 550 rpm. Find the torsional stress of shaft if shaft diameter is 35
mm. Answer: D
A. 13.85 Mpa B. 11.85 Mpa C. 12.85 Mpa D.14.87 Mpa
46. A circular saw blade has a circular speed of 25 m/sec and 500 mm diameter is driven by means of belt that has an efficiency of 95%. Find the required diameter of the driven shaft. If power transmitted is 50 Hp. Answer: B
A. 1 in B. 2 in C. 3 in D. 4 in
47. An 800 mm diameter circular saw blade is driven by a 1800 rpm motor with belt speed ratio of 1.8. Find the peripheral speed of the blade. Answer: A
A. 137.43 ft/sec B. 140.65 ft/sec C. 132.43 ft/sec D. 135.21 ft/sec
48. A machine shaft is supported on bearings 1 m apart is to transmit 190 Kw at 300 rpm while subjected to bending load of 500 kg at the center. If maximum shearing stress is 40 Mpa, determine the shaft diameter. Answer: C
A. 100 mm B. 90 mm C. 92 mm D. 98 mm
49. A 100 mm diameter shaft is subjected to a torque of 6 KN-m and a bending moment of 2.5 KN-m. Find the maximum bending stress developed. Answer: A
A. 45.84 Mpa B. 60.25 Mpa
C. 50.28 Mpa D. 55.46 Mpa
50. A round steel shaft transmits ½ Hp at 1800 rpm. The shear modulus of elasticity is 12,000,000 psi. The torsional deflection is not to exceed 1 deg in a length equal to 20 times the diameter. Find the shaft diameter. Answer: B
A. 1.04 in B. 0.257 in C. 0.864 in D. 2.045 in
51. A line shaft is to transmit 200 Hp at 900 rpm. Find the diameter of the shaft. Answer: B
A. 2 3/16 in B. 2 7/16 in C. 3 15/16 in D. 1 3/16 in
52. A centrifugal pump is directly coupled to a motor. The pump rating is 3,600 liters per a minute against a total head of 8 meters of water. Pump efficiency is 65% at a speed of 550 rpm. Calculate the torsional stress induced on the 40 mm diameter motor shaft. Answer: C
A. 11,193.45 Kpa B. 13,467.34 Kpa C. 10,010.85 Kpa D. 16,345.67 Kpa
53. A round steel shaft transmits 0.375 Kw at 1800 rpm. The shear modulus of elasticity is 80 Gpa. The torsional deflection is not to exceed 1 degree in a length equal to 20 diameters. Find the shaft diameter. Answer: A
A. 6.621 mm B. 8.342 mm C. 12.344 mm D. 16.345 mm
54. A round steel shaft rotates at 200 rpm and is subjected to a torque of 225 N.m and a bending moment of 340 N.m. The allowable shearing stress is 40 MN/m2, the allowable tensile is 53.3 MN/m2. Find the dimater. Answer: A
A. 6.621 mm B. 8.342 mm C. 12.344 mm D. 16.345 mm
55. A 1 in diameter shaft is to be replaced with a hollow shaft of the same material, weighing half as much, but equally strong in torsion. The outside diameter of the hollow shaft is to be 1 ½ in. Find the inside diameter. Answer: A
A. 1.322 in B. 2.132 in C. 1.653 in D. 3.123 in
56. A ¼ in diameter shaft is designed with a working stress of 7000 psi in shear. If it rotates at 1725 rpm and shear modulus of elasticity is 12,000,000 psi, what is the torsional deflection in degrees per foot of length? Answer: C
A. 3.820 B. 2.560 C. 3.210 D. 4.230
57. A hollow shaft has an outside diameter of 4 in and an inside diameter of 3 in. Find the diameter of a solid shaft with equal strength in torsion. Answer: D
A. 2.12 in B. 3.23 in C. 4.23 in D. 3.52 in
58. A ¼ in steel shaft transmits 30 in-lb of torque. The effective length of the shaft is 12 in; the modulus of elasticity in shear is 12,000,000 psi. Find the angular deflection in degrees. Answer: C
A. 2.240 B. 1.230 C. 4.480 D. 6.340
59. A 1 ½ in Monel shaft is used in a torsional application. Based on operating speed of 100 rpm and safety factor of 12. How much horsepower can it transmit? Assume the shearing stress is ¾ of the ultimate tensile stress which is 100,000 psi. Answer: A
A. 6.57 hp B. 3.45 hp C. 2.34 hp D. 5.23 hp
KEYS
1. A 76.2 mm in diameter shafting of SAE 1040 grade, cold rolled, having a yield point of 50 ksi and with a ¾ x 5 inches key. Compute the minimum yield point in the key in order to transmit the torque of the shaft. The factor of safety to use is 2 and Sys = 0.50 Sy. Answer: D
A. 39.120 ksi B. 42.130 ksi C. 279.20 ksi D. 47.120 ksi
2. A keyed sprocket delivers a torque of 778.8 N.m thru the shaft of 54 mm OD. The key thickness is 1.5875 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 Mpa for shear and 90 Mpa for tension. Answer: D
A. 39.12 cm B. 4.82 cm C. 52.22 cm D. 4.32 cm
3. A 76.2 mm in diameter shafting of SAE 1040 grade, cold rolled, having a yield point of 50 ksi and with a ¾ x ¾ x 5 inches key. Compute the minimum yield point in the key in order to transmit the torque of the shaft. The factor of safety to use is 2 and Sys = 0.50 Sy. Answer: D
A. 47.52 ksi B. 47.25 ksi C. 47.12 ksi D. 47.21 ksi
4. A keyed gears delivers a torque of 912.4 N-m thru its shaft of 63.5 mm outside diameter. If the key has a thickness of 15.875 mm and width of 11.1125, find the length of the key. Assume the permissible stress values of 61.2 Mpa for shear and tension at 99.8 Mpa. Answer: C
A. 47.42 mm B. 39.72 mm C. 42.22 mm D. 46.92 mm
5. A metric M4 x 15 square key is used with a 16 mm shaft. If the allowable shearing stress is 50 Mpa. How much torque can the assembly handle? The rotational speed of the shaft is 600 rpm. Answer: C
A. 20 N-m B. 12 N-m C. 24 N-m D. 34 N-m
6. A flat key is to be designed for 75 mm diameter shaft which will transmit 150 KW at 400 rpm. If allowable shearing stress is 200 Mpa and key width is 55 mm, determine the length of key. Answer: B
A. 30.65 mm B. 31.83 mm C. 33.75 mm D. 32.85 mm
7. A rectangular key is used in pulley to transmit 100 Kw at 1000 rpm on 50 mm shaft diameter. Determine the force required to remove the shaft from the hub if friction is 0.4. Answer: D
A. 33.24 KN B. 36.85 KN C. 28.35 KN D. 30.55 KN
8. A 7/16 in height x 3 in length flat key is keyed to a 2 inches diameter shaft. Determine the torque in the key if bearing stress allowable is 25 Ksi. Answer: A
A. 16,406.25 in-lb B. 15,248.56 in-lb C. 17.42 in-lb D. 246.75 in-lb
9. A rectangular key is used in pulley connected to a line shaft at 15 Kw and 600 rpm. If shearing of key is 230 Mpa, determine the force acting on key length if key width one-fourth of shaft diameter and key length is 1 inch. Answer: C
A. 43 KN B. 48 KN C. 45 KN D. 46 KN
10. A square key is to be used in 40 mm diameter shaft and that will developed a 2 KN-m torque. If bearing stress of the key is 400 Mpa, determine the cross sectional dimension of square key to be used if key length is 30 mm. Answer: D
A. 324.80 mm2 B. 246.80 mm2 C. 446.80 mm2 D. 277.77 mm2
11. A 100 KN force is acting on a key that has a length of 4 times its height. If bearing stress of key is 400 Mpa, determine the height of key. Answer: B
A. 10.54 mm B. 11.18 mm C. 12.65 mm D. 15.25 mm
12. A one meter pulley is fastened to a 100 mm shaft by means of 25 mm square key and 150 mm long. What force tangent to pulley rim will shear the key if shear stress is 200 Mpa? Answer: C
A. 65 KN B. 70 KN C. 75 KN D. 80 KN
13. A 1.2 m pulley is fastened to a 120 mm shaft by means of a square key with 140 mm long. What force tangent to pulley rim will crush the key if bearing stress is 410 Mpa. Assume key and shaft are of the same material. Answer: C
A. 160.42 KN B. 165.25 KN C. 180.42 KN D. 172.20 KN
COUPLING
1. A flanged bolt coupling has ten (10) steel 25.4 mm diameter bolts evenly tighten around a 415 mm bolt circle. Determine the torque capacity of the connection if the allowable shearing stress in the bolt is 50 MN/m2. Answer: B
A. 59.95 KN.m B. 52.6 KN.m C. 46.15 KN.m D. 43.8 KN.m
2. A flanged bolt coupling consists of eight 20 mm diameter steel bolts space evenly around a bolt circle 300 mm in diameter. If the coupling is subjected to a torque of 15.1 KN-m, determine the maximum shearing stress in the bolts? Answer: A
A. 40 Mpa B. 38 Mpa C. 70 Mpa D. 29 Mpa
3. A flanged coupling having 180 mm bolt circle and 19 mm thick uses 8 bolts, 16 mm diameter to connect two shaft. It is used to transmit 60 Kw at 180 rpm. Determine the factor of safety in bearing if yield point in compression is 448 Mpa. Answer: C
A. 15.6 B. 18.5 C. 30.8 D. 25.4
4. A turbine connected to generator by means of flanged coupling that has a bolt circle diameter of 500 mm. The generator output is 40 MW, 3600 rpm and 90% efficiency. If there are 16 bolts, determine the force acting on each bolt. Answer: B
A. 26.41 KN B. 29.47 KN C. 35.62 KN D. 32.61 KN
5. A 75 mm diameter shaft is transmitting 300 Kw at 600 rpm. A solid coupling has a 6 bolts each 18 mm in diameter. Find the required bolt circle diameter if shearing stress in bolts is 27.5 Mpa..
Answer: A
A. 227.40 mm B. 233.60 mm C. 254.50 mm D. 272.60 mm
6. The total force of 125 KN is required of flange coupling that has 5 bolts has also shearing stress of 30 Mpa for bolt. Determine the required diameter of bolt. Answer: D
A. 62.54 KN B. 54.21 KN C. 45.62 KN D. 32.57 KN
7. A flanged coupling with bolt circle diameter of 250 mm uses 8 bolts, 25 mm diameter. The torque transmitted is 15 KN-m and compressive stress of bolt is 15 Mpa. Determine the required flange thickness. Answer: D A. 25 mm B. 30 mm C. 35 mm D. 40 mm PRESSURE VESSEL
1. Find the thickness of a metal needed in the semi-spherical end of cylindrical vessel 0.70 meter in diameter subjected to an internal pressure of 2.7 N/mm2. The material is mild carbon steel and tensile stress is 69 N/mm. Answer: D
A. 5.2 mm B. 6.02 mm C. 7.53 mm D. 6.84 mm
2. A cylindrical tank with 10 inches inside diameter contains oxygen gas at 2500 psi. Calculate the required wall thickness in millimeter under stress of 28,000 psi. Answer: B
A. 10.54 B. 11.34 C. 10.24 D. 12.44
3. Determine the bursting pressure of steel with diameter of 10 inches and make of ¼ in thick plate. The joint efficiency is at 70% and the tensile strength is 60 ksi. Answer: D
A. 4,020 psi B. 4,002 psi C. 2,400 psi D. 4,200 psi
4. Determine the safe wall thickness of a 30 inches steel with internal pressure of 7.82 Mpa. The yield stress of material is at 275.48 Mpa. The factor of safety to use is 2.0. Answer: C
A. ¾ in B. 23.4 cm C. 21.6 mm D. 5/8 in
5. Determine the bursting steam pressure of a steel shell with a diameter of 10 inches and made of ¼ inch thick steel plate. The joint efficiency is at 70% and the tensile strength is 60 ksi. Answer: A
A. 4,200 psi B. 10.5 psi C. 42.8 psi D. 8,500 psi
6. Compute the safe wall thickness of a 76.2 cm diameter steel tank. The tank is subjected to 7.33 Mpa pressure and the steel material has yield stress of 215.4 Mpa. The factor of safety to use is 3.Answer: B
A. 1 ½ in B. 3.89 cm C. 4.09 cm D. 3.69 cm
7. A steel cylinder air receiver with 5 feet diameter and pressure load of 180 psi, design stress of 9500 psi maximum. The pressure vessel is to be provided with 1 ½” diameter drain valve installed at the bottom of the vessel and safety pressure relief valve installed either at the top most or at the side with prop-out rating of 200 psi. Assume a 100% weld joint efficiency. The lap welding tensile strength is 65,000 psi. Determine the bursting pressure of this air receiver. Answer: B
A. 1154 psi B. 1354 psi C. 1454 psi D. 1254 psi
8. Determine the thickness of a steel air receiver with 30 inches diameter and pressure load of 120 psi, design stress of 8000 psi. Answer: A
A. 1/4 in B. 3/8 in C. 5/8 in D. 1/2 in
9. A cylindrical tank with 10” inside diameter contains oxygen gas at 2500 psi. Calculate the required wall thickness in (mm) under stress of 28,000 psi. Answer: C
A. 11.44 mm B. 10.6 mm C. 11.34 mm D. 10.3 mm
10. Determine the internal pressure of a cylindrical tank 500 mm internal diameter, 20 mm thick and 3 m long if stress is limited to 140 Mpa. Answer: C
A. 10.06 Mpa B. 10.52 Mpa C. 11.20 Mpa D. 12.88 Mpa
11. A water tank 10 m x 12 m is completely filled with water. Determine the minimum thickness of the plate if stress is limited to 50 Mpa. Answer: A
A. 11.77 mm B. 12.66 mm C. 13.55 mm D. 12.44 mm
12. A spherical shell of 1.8 m outside and 1.725 m inside diameter contains helium at a pressure of 10.4 Mpa. Compute the stress in the shell.. Answer: B
A. 124.08 Mpa B. 119.06 Mpa C. 96.48 Mpa D. 88.46 Mpa
13. A 600 mm diameter spherical steel pressure vessel has a uniform 8 mm wall thickness and an internal gage pressure of 10 Mpa. If the ultimate stress of steel is 420 Mpa, determine the factor of safety with respect to tensile of failure. Answer: A
A. 2.30 B. 1.89 C. 2.69 D. 1.48
14. Determine the largest internal pressure which maybe applied to a cylindrical tank 2 m in diameter and 15 mm wall thickness, if the ultimate stress of steel is 420 Mpa and a factor of safety of 4.5.
Answer: A
B. 2.6 Mpa C. 1.8 Mpa D. 2.2 Mpa
15. The cylinder of a hydraulic press is made up of thick walled cylinder having an inside diameter of 300 mm. It is subjected to an internal pressure of 40 Mpa. Determine the thickness of a cylinder without exceeding a shearing stress of 80 Mpa. Answer: C
A. 62.13 mm B. 58.61 mm C. 109.80 mm D. 72.40 mm
16. The internal pressure of a 400 mm internal diameter cylindrical tank is 10 Mpa and tank thickness is 25 mm. Determine the stress developed if joint efficiency is 95%. Answer: B
A. 80.10 Mpa B. 84.21 Mpa C. 86.75 Mpa D. 78.42 Mpa
17. A spherical tank 15 mm thick has an internal pressure of 5 Mpa. The joint efficiency is 96% and stress is limited to 46,875 Kpa. Find the tank internal radius. Answer: C
A. 540 mm B. 200 mm C. 270 mm D. 300 mm
18. A cylindrical tank has an inside diameter of 5 in and is subjected to an internal pressure of 500 psi. If maximum stress is 1200 pasi, determine the required thickness. Answer: C
A. 1 in B. 1.2 in C. 1.4 in D. 1.6 in
19. A thick wall cylinder has 50 mm thick and internal diameter of 300 mm. If stress is limited to 30 Mpa, determine the maximum internal pressure. Answer: D
A. 8.1 Mpa B. 8.2 Mpa C. 8.3 Mpa D. 8.4 Mpa
20. A round vertical steel tank has inside diameter of 3 m and 6 m height. It contains gasoline with a density of 750 Kg/m3. If the allowable tensile stress is 25 Mpa, find the minimum thickness required.
Answer: A
A. 2.65 mm B. 2.85 mm C. 3.65 mm D. 1.82 mm
21. A cylinder having an internal diameter of 16 in and external diameter of 26 inches is subjected to 1500 psi external pressure and internal pressure of 9,000 psi. Determine the hoop stress on outer surface of cylinder. Answer: B
B. 7,642.85 psi C. 9,400.62 psi D. 9,471.43 psi
22. A cylindrical tank has a mean diameter of 40 cm and thickness of 10 cm. It is subjected to an external pressure of 140 kg/cm2. Determine the maximum internal tangential stress is 900 kg/cm2. Determine the maximum internal pressure of the tank. Answer: A
A. 2947.5 kg/cm2 B. 3426.5 kg/cm2 C. 1246.5 kg/cm2 D. 1942.6 kg/cm2
BOLTS & POWER SCREW
1. Compute the working strength of 1 in bolt is screwed up tightly in packaged joint when the allowable stress is 13,000 psi. Answer: D
A. 3,600 lbs B. 3,700 lbs C. 3,800 lbs D. 3,900 lbs
2. What is the working strength of a 2inches bolt which is screwed up tightly in a packed joint when the allowable working stress is 12,000 psi. Answer: A
A. 20.4 klb B. 22.4 klb C. 23.4 klb D. 18 klb
3. An eyebolt is lifting a block weighing 350 lbs. The eyebolt is of SAE C 1040 material with SU = 67 ksi and SY = 55 ksi, what is the stress area ( in inches square ) of the bolt if it is under the unified coarse series thread? Answer: B
A. 0.1341 B. 0.1134 C. 0.0991 D. 0.1043
4. If the pitch of a screw is 2/9 find the thread per inch. Answer: B
A. 0.34 B. 4.5 C. 5.4 D. 17
5. Find the horsepower lost when a collar is loaded with 1000 lb rotates at 25 rpm, and has a coefficient of friction 0.15. The outside diameter of the collar is 4 in and the inside diameter is 2 in. Answer: C
A. 0.045 hp B. 0.89 hp C. 0.089 hp D. 0.56 hp
6. Compute how many 3/8 inch diameter set screws required to transmit 3 HP at a shaft speed of 1000 rpm. The shaft diameter is 1 inch. Answer: B
A. 1 1/2 B. 2 C. 3 D. 1
7. What is the frictional Hp acting on a collar loaded with 100 kg weight? The collar has an outside diameter of 100 mm amd an internal diameter of 40 mm. The collar rotates at 1000 rpm and the coefficient of friction between the collar and the pivot surface is 0.15. Answer: A
A. 0.8 Hp B. 0.3 Hp C. 0.5 Hp D. 1.2 Hp
8. Determine the permissible working stress of a UNC bolts that has a stress area of 0.606 in2 if material used is carbon steel. Answer: A
A. 4055.5 psi B. 5244.5 psi C. 4675.5 psi D. 4185.5 psi
9. The stress area of NC bolt is 0.763 in2, if material used is carbon steel, determine the applied load on the bolt. Answer: A
A. 3407.14 psi B. 5244.5 psi C. 4675.5 psi D. 4186.5 psi
10. A 12 cm x 16 cm air compressor has 5 bolts on cylinder head with yield stress of 440 Mpa. If the bolt stress area is 0.13 in2, determine the maximum pressure inside the cylinder. Answer: B
A. 546.71 psi B. 671.96 psi C. 742.78 psi D. 840.60 psi
11. The cylinder head of ammonia compressor has core gasket area of 80 cm2 and flanged pressure of 90 kg/cm2. Determine the torque applied on the bolt if nominal diameter of bolt used is ¾ inch and there 5 bolts. Answer: A
A. 476.28 in-lbs B. 586.28 in-lbs C. 696.28 in-lbs D. 666.26 in-lbs
12. The total torque required to turn the power screw is 50 N-m. If linear speed of screw is 8 ft/min and lead of 8 mm, determine the Hp input of the power screw. Answer: C
A. 2.82 Hp B. 2.54 Hp C. 2.14 Hp D. 2.38 Hp
13. A single square thread power screw has a lead of 6 mm and mean diameter of 34 mm. It is used to lift a load of 26 KN and coefficient of friction of thread is 0.15, determine the torque required to turn the screw. Answer: A
A. 91.9 N-m B. 65.8 N-m C. 72.6 N-m D. 86.5 N-m
14. An ACME thread power screw that has a mean diameter of 25 mm and a pitch of 5 mm is used to lift a load of 500 kg. If friction on threads is 0.1, determine the torque needed to turn the screw.
Answer: A
A. 10.30 N-m B. 12.63 N-m C. 13.10 N-m D. 14.10 N-m
15. The torque required to overcome collar friction of a 100 mm mean diameter collar power screw is 50 N-m and collar friction of 0.15. Determine the weight lifted by the screw. Answer: D
A. 458.57 kg B. 478.57 kg C. 487.57 kg D. 679.57 kg
16. A double square thread power screw has a mean radius of 80 mm and a pitch of 10 mm is used to lift a load of 80 KN. If friction of screw is 0.13 and collar torque is 20% of input torque, determine the input torque required. Answer: D
A. 830.76 N-m B. 835.76 N-m C. 1246.30 N-m D. 1365.30 N-m
17. The root diameter of a double square thread power screw is 0.55 in. The screw has a pitch of 0.2. Determine the major diameter. Answer: B
A. 0.524 in B. 0.750 in C. 0.842 in D. 0.961 in
18. A power screw consumes 6 Hp in raising a 2800 lb weight at the rate of 30 ft/min. Determine the efficiency of the screw. Answer: C
A. 12.5% B. 16.8% C. 42.42% D. 66.62%
19. A square thread power screw has a pitch diameter of 1.5” and a lead of 1”. Neglecting collar friction, determine the coefficient of friction for threads if screw efficiency is 63.62%. Answer: A
A. 0.113 B. 0.121 C. 0.146 D. 0.151
20. A square thread screw has an efficiency of 70% when friction of threads is 0.10 and collar friction is negligible. Answer: A A. 14.300 B. 10.370 C. 12.430 D. 16.450 FLYWHEEL
1. A cast iron flywheel is rotated at a speed of 1200 rpm and having a mean radius of 1 foot. If the weight of the rim is 30 lbs, what is the centrifugal force? Use factor C = 41. Answer: D
A. 14,800 lbs B. 14,860 lbs C. 7 mt D. 14,724 lbs
2. A flywheel for a punching press must be capable of furnishing 3400 N-m of energy during the 25% revolution while the hole is being punched. The flywheel maximum speed is 200 rpm and the speed decreases 8.7% during the load stroke. The mean radius of the rim is 1016 mm diameter and contributes 90% of the energy requirements. Approximate total weight of the flywheel to be 1.20 times that of the rim. Find the weight of the flywheel. Answer: A
A. 97.5 kg B. 65.2 kg C. 103.34 kg D. 234.5 kg
3. A press is used to punch 10 holes per minute of 30 mm diameter hole from 25 mm thick plate. Determine the power needed to punch a hole if ultimate shear stress is 400 Mpa. Answer: B
A. 2.68 Kw B. 1.96 Kw C. 3.58 Kw D. 0.96 Kw
4. The kinetic energy needed to punch a hole is 5 KJ. What is the maximum thickness of a hole that can be punch if hole diameter is 25 mm and ultimate shearing stress of plate is 420 Mpa. Answer: C
A. 12.61 mm B. 14.68 mm C. 17.41 mm D. 19.62 mm
5. During a punching process of 350 kg flywheel the speed varies from 200 rpm to 180 rpm with 1 m mean diameter. Determine the kinetic energy released by the flywheel. Answer: A
A. 3.64 KJ B. 6.28 KJ C. 4.51 KJ D. 5.62 KJ
6. A plate 200 mm wide and 25 mm thick with strength of 410 Mpa is to be shear along its width. During shearing process an 800 mm mean diameter flywheel changes its speed from 200 rpm to 180 rpm. Determine the weight of flywheel to be use. Answer: D
A. 3265.84 kg B. 3452.71 kg C. 3821.72 kg D. 3845.97 kg
7. The energy required to punch a square hole from 20 mm thick plate is 10 KJ. If the ultimate strength of plate is 420 Mpa, determine the maximum sides of square that can be punched. Answer: B
A. 45 mm B. 30 mm C. 60 mm D. 55 mm
8. A 1 mm mean diameter flywheel, 500 kg weight changes its speed from 220 rpm to 200 rpm during shearing process. What average force is needed to shear a 30 mm thick plate. Answer: A
A. 384 KN B. 653 KN C. 234 KN D. 1082 KN
9. The energy required to punch a hole is 3 KJ from a flywheel mean diameter of 800 mm that slows down from 3.3 rps to 3 rps during punching. If weight of arm and hub account 10% of rim weight, determine the rim weight. Answer: B
A. 421.08 kg B. 457.40 kg C. 482.68 kg D. 416.68 kg
10. A flywheel has a total weight of 500 kg and the weight of arm and hub is 8% of total weight. It has a mean diameter of 1 m and width of 300 mm. Determine the thickness of the flywheel if density of material is 7000 kg/m3. Answer: C
A. 60.65 mm B. 65.48 mm C. 69.72 mm D. 75.42 mm
11. A flywheel has a rim weight of 450 kg and mean radius of 450 mm. If the rim width is 5 times the rim thickness and material density is 7200 kg/m3, determine the width of flywheel. Answer: A
