*Please do not use this sample assignment in any
*Please do not use this sample assignment in any qualification or centre approval application by yourqualification or centre approval application by your
centre.
centre.
Sample assignment
Sample assignment
Q
Quuaalliiffiiccaattiioonn UUnniit t nunummbbeer r aannd d ttiittllee Pearson B
Pearson BTEC Level TEC Level 5 !" "5 !" "iploma iploma #eneral#eneral Engineering
Engineering $nit %& 'trength of $nit %& 'trength of (aterials )%+,,-+(aterials )%+,,-+ S
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Assignment title
Assignment title 0ss 0ss Comple1 Comple1 Loading Loading 'ystems. 'ystems. Loading Loading on on Beams Beams and and Columns. Columns. 2& 2& of of /3/3
LO
LO Learning outcomeLearning outcome (LO)
(LO)
AC AC
In this assessment you ill ha!e the In this assessment you ill ha!e the
opportunity to present e!idence that shos opportunity to present e!idence that shos you are able to"
you are able to"
#as$ #as$ no%
no% ('age no)('age no)&!idence&!idence
L4,
L4,
Be able to determine Be able to determine the behavioural the behavioural characteristic characteristics s ofof engineering engineering components components subected to subected to comple1 loading comple1 loading systems systems ,., ,.,analyse t6o7dimensional stress systems ma8ing analyse t6o7dimensional stress systems ma8ing appropriate use of (ohr9s stress circle
appropriate use of (ohr9s stress circle ,a and,a and ,c ,c
,.& ,.&
carry out e1perimental
carry out e1perimental strain analysis usingstrain analysis using electrical resistance strain gauges
electrical resistance strain gauges
,b ,b
,./ ,./
apply the appropriate theory o
apply the appropriate theory of elastic failure tof elastic failure to loaded components to determine operational factors loaded components to determine operational factors of safety of safety ,c ,c L4& L4& Be able to Be able to determine the determine the behavioural behavioural characteristic characteristics s ofof loaded beams: loaded beams: columns and struts columns and struts
&., &.,
determine the support reactions: slope and determine the support reactions: slope and deflection of simply supported beams
deflection of simply supported beams
& &
&.& &.&
determine the distribution of stress in
determine the distribution of stress in the materialsthe materials of reinforced concrete beams
of reinforced concrete beams
/ /
&./ &./
determine the stress distribution in columns and determine the stress distribution in columns and 6alls 6hich are subected to asymmetrical bending 6alls 6hich are subected to asymmetrical bending
-
&.-determine the appropriate critical load for
determine the appropriate critical load for a1iallya1ially loaded struts
loaded struts
5 5
Learner declaration
; certify that the 6or8 submitted for this assignment is my o6n and research sources are fully ac8no6ledged.
In addition to the abo!e 'ASS criteria this assignment gi!es you the opportunity to submit e!idence in order to achie!e the folloing &*I# and DIS#I+C#IO+ grades
,rade Descriptor Indicati!e characteristic-s Conte.tualisation
/
Identify and apply strategies to find appropriate solutions
Effective udgements have been made. 0n effective approach to study and research has been applied.
'uitable c Consideration has been given to the t6o types of strut. =easoned udgements are made about the factors affecting the most suitable cross sectional shape. 'trategies have been applied to find the appropriate solution. 2Tas8 53 0
Select-design and apply appropriate methods-techni1ues
Comple1 informationdata has been synthesised and processed.
0ppropriate learning methodstechniques have been applied.
Comple1 information has been used to determine the deflection at the required position. The data has been used correctly to obtain an accurate solution. 0ppropriate method and technique has been demonstrated. 2Tas8 &3
2
'resent and communicate appropriate findings
The appropriate structure and approach has been used.
The communication is appropriate for unfamiliar audiences and appropriate media have been used.
The slides prepared have appropriate structure and approach to sho6 ho6 a solution can be obtained to the problem posed by the loaded system in figure %. The materials prepared present and communicate the approach to use 6hich a third party: 6ith limited mechanical systems 8no6ledge: 6ould be able to follo6. 2Tas8 &3
D/
Use critical reflection to e!aluate on or$ and 3ustify !alid conclusions
Conclusions have been arrived at through synthesis of ideas and have been ustified. The validity of results have been evaluated using defined criteria.
The information given in the tas8 has been used in an analytical manner to evaluate the ans6ers arrived at by graphicaldra6ing means 2(ohr9s 'tress Circle3. The results compared are validated. Lin8s and comparisons are made bet6een dra6ing and analytical solutions. 2Tas8 ,a3 D0
#a$e responsibility for managing and organising acti!ities
0ctivities have been planned. 0utonomy has been demonstrated.
The #antt Chart is used to sho6 a realistic plan and is annotated to sho6 progress made. The assignment is completed on time. 0utonomy has been demonstrated and deadlines met independently. 2Tas8 %3
D2
Demonstrate con!ergent-lateral-creati!e thin$ing
;deas have been generated and decisions ta8en.
Problems have been solved. Creative thought has been applied.
The decision on an alternative material is valid and the e1planation sho6s a range of ideas to support this choice of different material. The e1planation 6ill clearly sho6 creative ideas about minimising dimensions. 2Tas8 53
'lease note that for unit assignments Assessors should use these or other e.emplar indicati!e characteristics for the indi!idual grade descriptors from Anne.e C of the 4+ specification or any other rele!ant indicati!e characteristics for the particular assignment% #he indicati!e characteristic should then be conte.tualised% Only one indicati!e characteristic per grade descriptor 0 0 2 D/ D0 D2 is re1uired%
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
Assignment brief
Unit number and title $nit %& 'trength of (aterials
Qualification Pearson BTEC Level 5 !" "iploma in #eneral Engineering
Start date ,%/&+,/
Deadline-hand5in ,%-&+,/ Assessor
Assignment title Comple1 Loading 'ystems. Loading on Beams and Columns. 2& of /3 'urpose of this assignment
This assignment 6ill give you the opportunity to sho6 your 8no6ledge of basic engineering problems involving the strength of materials. >ou 6ill investigate a number of engineering components of a structure that are subected to t6o dimensional comple1 loading? the effects of loading 2support reactions: slope and deflection3 on beams and the effects of loading on columns and struts.
>ou have already completed assignment , for this unit: a practical assignment. >ou 6ill need the outcomes from that assignment for one of the tas8s in this assignment.
Assignment brief
Unit number and title $nit %& 'trength of (aterials
Qualification Pearson BTEC Level 5 !" "iploma in #eneral Engineering
Start date ,%/&+,/
Deadline-hand5in ,%-&+,/ Assessor
Assignment title Comple1 Loading 'ystems. Loading on Beams and Columns. 2& of /3 'urpose of this assignment
This assignment 6ill give you the opportunity to sho6 your 8no6ledge of basic engineering problems involving the strength of materials. >ou 6ill investigate a number of engineering components of a structure that are subected to t6o dimensional comple1 loading? the effects of loading 2support reactions: slope and deflection3 on beams and the effects of loading on columns and struts.
>ou have already completed assignment , for this unit: a practical assignment. >ou 6ill need the outcomes from that assignment for one of the tas8s in this assignment.
Scenario
>ou are going to spend five months of practice as a (echanical Engineer in @Airst Testing Company: one of the biggest (achine Elements Laboratories in the $nited )ingdom. >ou 6ill be required to
attend an intervie6 and in preparation for this your potential supervisor as8s you to solve the follo6ing tas8s in order to assess your level of 8no6ledge and understanding. >ou are given a iAi equipped noteboo8 and you can use any information you may need.
#as$ /a < (LO /" /%/ and D/)
"ue to an applied load: an element at a point in a machine shaft is subected to the state of plane stress sho6n in figure ,. $sing (ohr9s stress circle: analyse this &" stress system and determine<
Aig , ,. The principal stresses and planes.
&. The absolute ma1imum shear stress at the point.
/. The stress components e1erted on the element obtained by rotating the given element counter cloc86ise through /+o.
2Part of ,.,3 Dalidate the results for tas8s , and /: using analytical methods.
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
2",3
#as$ /b (LO /" /%0)
;n assignment , you carried out an e1periment on strain using strain gauges. >ou supplied a report about this and included a itness 'tatement about 6hat you did.
Based on the readings obtained from the e1perimental strain analysis carried out in the laboratory at Airst Testing Company in assignment , it 6as agreed that< ε FG-++H,+7%: ε
bG7
,++H,+7%: ε
cG&-+H,+7%: using these values determine<
Aig & ,. The in plane principal strains.
&. The ma1imum in plane shear strain.
0ttach your report and itness 'tatement from 0ssignment , to your ans6ers for tas8 ,b.
#as$ /c (LO /" /%/ and /%2)
The state of plane stress at a critical point in a steel machine brac8et is sho6n in figure /. $sing (ohr9s stress circle: analyse this &" stress system and calculate<
Aig / ,. The principal stresses and planes.
&. The absolute ma1imum shear stress at this point.
;f the yield stress for steel is I>G&-J(Pa: apply the appropriate theory of elastic failure to determine the operational factors of safety.
#as$ 0 (LO 0" 0%/ 0 and 2)
Aor the simply supported beams 0B sho6n in figures - and 5: using (acaulay9s method determine<
Aig
-Aig 5 ,. The support reactions at 0 and B.
&. The slope at end 0.
/. The deflection at point C 2figure -3 and the ma1imum deflection 2figure 53
Consider the fle1ural rigidity E; of the beam to be 8no6n and constant. P: a: b: L and 2uniformly distributed load per unit length3 are 8no6n parameters. >ou 6ill be given values for these parameters to enable you to use (acaulay9s method.
2&.,3
The overhanging steel beam 0BC: sho6n in figure %: carries a concentrated load P at end C.
In no more than /6 slides: present the appropriate approach to the solution of this problem and compare it 6ith those used in Tas8 &., for ease of use and method applied.
Aig % 2(/3
Aurther to and for the beam in Tas8 &.,: determine the deflection at L& given a length: L: of Jm: as a &7variable function of fle1ural stiffness 1 K(Pa and concentrated load M K8! at position 20C3 G L-.
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
#as$ 2 (LO 0" 0%0)
0 rectangular concrete beam is /+cm 6ide and -5cm deep to the steel reinforcement: 6hich consists of t6o &.5cm diameter bars. The stresses are limited to ,,5(Pa in the steel and %.5(Pa in the concrete: and the modular ratio is ,5 determine<
,. The permissible bending moment.
&. The resulting ma1imum stresses in the steel and concrete.
The reinforced concrete beam sho6n in figure N: is subected to positive bending moment of ,N58!Hm. #iven that the modulus of elasticity is &5#Pa for the concrete and &++#Pa for the steel: determine<
Aig N /. The stress in the steel.
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
#as$ 7 (LO 0" 0%2)
The column sho6n in figure J is subected to asymmetrical load ,++8O on point ).
Aig J ,. "etermine the stress distribution on the section.
The 6all sho6n in figure is vertical and subected to asymmetrical loads P, G +.J8! and P& G %8!.
Aig
#as$ 6 (LO 0" 0%7 / and D2) #iven< E G &++GPa determine<
Aig ,+ ,. The critical load for the square strut in figure ,+.
&. The radius of the round strut in figure ,+ if it carries the same critical load as the square strut.
/. The cross sectional area of the square strut in figure ,+ as a percentage of the cross sectional area of the round strut in figure ,+.
2&.-3
T6o different struts have been considered. (a8e effective udgements about the suitability of them: according to their cross7section surface.
2(,3
Thin8 about t6o alternative materials: 6hich could be used instead of the given one having E G &++GPa.
"ecide and e1plain 6hich is more suitable: in ter ms of dimension minimiMing. 2"/3
#as$ 8 (D0)
Provide evidence on ho6 the assignment activities you have solved 6ere planned: managed and
organised: by completing the attached chart found on the last page. >ou 6ill need to annotate this to ensure you demonstrate the 6ay you have managed this assignment to meet the deadline.
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
&!idence
chec$list Summary of e!idence re1uired by student
&!idence presented
Tas8s ,: /: -: 5
• 0 report 6ritten in a formal style: including a contents page
indicating the different report chapters and sections.
• 0ttach your 0ssignment , report and 6itness statement to your
results for Tas8 ,b.
• 0 bibliography 6ith references must be supplied using the arvard
'ystem of referencing.
• 0n electronic copy of your reports on either a memory stic8 or C".
Label the memory stic8 or C" 6ith your name: unit title and assignment name.
Tas8 & • Po6erPoint presentation of no more than ,5 slides for Tas8 &.
(arch&+,/ 0pril&+,/ 0fter "eadline ,% ,N ,J , &+ &, && &/ &- &5 &% &N &J & /+ /, , & / - 5 % N J ,+ ,, ,& ,/ ,- ,5 ,%
T a s 8 2 C r i t e r i o n 3 , 2,.,3 , 2",3 & 2,.&3 / 2,.,3 2,./3 -2&.,3 -2(/3 -2(&3 5 2&.&3 % 2&./3 N 2&.-3 N 2(,3 N 2"/3 J 2"&3 and7in "ate<
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
Achie!ement Summary
Qualification
Pearson BTEC !" "iploma in
#eneral Engineering Assessor name
Unit +umber and title
$nit %& 'trength of (aterials Student name
Criteria *eference
#o achie!e the criteria the e!idence must sho that the student is able to"
Achie!ed9 (tic$) LO /
,., analyse t6o7dimensional stress systems ma8ing appropriate use of (ohr9s stress circle
,.& carry out e1perimental strain analysis using electrical resistance strain gauges
,./ apply the appropriate theory of elastic failure to loaded components to determine operational factors of safety
LO 0
&., determine the support reactions: slope and deflection of simply supported beams
*Please do not use this sample assignment in any qualification or centre approval application by your centre.
Achie!ement Summary
Qualification
Pearson BTEC !" "iploma in
#eneral Engineering Assessor name
Unit +umber and title
$nit %& 'trength of (aterials Student name
Criteria *eference
#o achie!e the criteria the e!idence must sho that the student is able to"
Achie!ed9 (tic$) LO /
,., analyse t6o7dimensional stress systems ma8ing appropriate use of (ohr9s stress circle
,.& carry out e1perimental strain analysis using electrical resistance strain gauges
,./ apply the appropriate theory of elastic failure to loaded components to determine operational factors of safety
LO 0
&., determine the support reactions: slope and deflection of simply supported beams
&.& determine the distribution of stress in the materials of reinforced concrete beams
&./ determine the stress distribution in columns and 6alls 6hich are subected to asymmetrical bending
&.- determine the appropriate critical load for a1ially loaded struts
4igher ,rade achie!ements (here applicable)
,rade descriptor Achie!ed9
(tic$)
,rade descriptor Achie!ed9 (tic$)
/" Identify and apply strategies to find appropriate solutions
D/" Use critical reflection to e!aluate on or$ and 3ustify !alid conclusions
0" Select - design and apply appropriate methods - techni1ues
D0" #a$e responsibility for managing and organising acti!ities
2" 'resent and communicate appropriate findings
D2" Demonstrate
con!ergent-lateral-creati!e thin$ing
Assignment :eedbac$
:ormati!e :eedbac$" Assessor to Student
Action 'lan
Summati!e feedbac$
:eedbac$" Student to Assessor
Assessor signature Date