Space above not to be filled in by the student AE1108-II Aerospace Mechanics of Materials 17 April 2014 09.00h - 12.00h Answer sheets Last name and initials:....B.^'?.VS^.n?.9^."?;^ Student no.: NOTE: a) This exam consists of FOUR problems. Each problem carries equal weight, all problems should be attempted. b) All problems must be solved in the provided answer sheets. Additional sheets (ie: blank sheets for rough work) will not be accepted! c) Write your name and study number on EVERY page of the answer sheets. Sheets without name or study number will not be accepted. d) If you are in any doubt about the interpretation of the question, state the assumptions you have made in answering the question. e) Neatness of presentation of your answer will be considered in the marking f) All answers must be given with the appropriate SI units
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Space above not to be filled in by the student
AE1108-II Aerospace Mechanics of Materials
17 April 2014 09.00h - 12.00h
A n s w e r s h e e t s
Last name and initials:....B.^'?.VS^.n?.9^."?;^
Student no.:
NOTE:
a) This exam consists of FOUR problems. Each problem carries equal weight, all problems should be attempted.
b) All problems must be solved in the provided answer sheets. Additional sheets (ie: blank sheets for rough work) will not be accepted!
c) Write your name and study number on EVERY page of the answer sheets. Sheets without name or study number will not be accepted.
d) If you are in any doubt about the interpretation of the question, state the assumptions you have made in answering the question.
e) Neatness of presentation of your answer will be considered in the marking
f) All answers must be given with the appropriate SI units
Exam AEl 108-11: Aerospace Mechanics of l ^aterials
Answer sheets
17 April 2014
Student no:
Name: finsiuOermode^
Problem 1 (Weight 2.5 - approx. 45 minutes)
A simply supported beam ABCDE is subjected to the loads shown in Figure Ql(a). The beam
has a uniform cross section comprising of a channel section adhesively bonded to a
reinforcing plate as shown in Figure Ql(b) .
Een scharnierend opgeiegde bali< ABCDE wordt belast zoals aangegeven in Figuur Ql(a). De
balk heeft een uniforme doorsnede bestaande uit een hoedprofiel dat met lijm verbonden is
aan een extra plaat ter versterking, zoals te zien is in Figuur Qlb.
2m
|10 mm
1 •^5 kN/m
1 5kN/m 1
—x 3 m 3m ' 2m ' 2m
(a)
lOmm 100 mm
100 mm (b)
T 20 mm
Figure Q l
Questions
a) Calculate the loading at B due to the uniformly loaded frame rigidly connected at B.
Draw a Free Body Diagram of beam ABCDE on the next page indicating the reactions
at B.
Bereken de belasting in punt B ten gevolge van het uniform belaste hoekframe dat in
B onvervormbaar aan de balk vastzit en teken een vrijlichaamsdiagram van balk
ABCDE waarin de reacties in punt B zijn getekend op de volgende pagina.
4^ . . . n - Q .
1 Ui
^
Page 2 of 17
Exam AEl 108-11: Aerospace Mechanics of Materials
Answer sheets Student no:
17 April 2014 Name: ftnscJer- nr>oc^e^
(Problem 1 continued)
10 U N
t -Rp = 22. 5 1<M
b) Draw the complete shear force and bending moment diagrams for the beam ABCDE
below including the appropriate signs and values.
Teken de volledige dwarskractiten en momentenlijnen voor baik ABCDE hieronder
inciusiefde bijbehorende tekens en waardes.
shear force
bending moment
7.5 10 UtJ
-2.5 k
22.5 WJf 12.5 UKJWS
0 VcW
-12.5
0 k N ^
- 1 0 UWir»
or 10 WW/n
Page 3 of 17
Exam AEl 108-11: Aerospace Mechanics of Materials
Answer sheets Student no:
17 April 2014 Name: fin S l ^ r n n o d i e )
{Problem 1 continued)
c) Calculate the magnitude of the maximum normal stress o in the beam and indicate
where in the beam it occurs.
Bereken de grootte van de maximale normaalspanning a die in de balk optreedt en
geef aan waar deze in de balk optreedt.
JCS: 3^^^^^^^^^^ X
ma'K oorrr>Q) stress» o c c u r s y3V>eir> nn 4 j j are rrx^yiJT^yfr^.
Erom...^^?^^^ ï^m<Kx. o c^ . U 5 L . \ e 5 1 .o£.
jpöin k < k. X^^^^ 3. .rn Df5ne\^ ?^22. .^%^^k^rr> .
S2. 5 rnrr>
CA^.... _ ^ „... ^
i - ^ 0^-J^ ' ï ^^ ^ociL2^J%^£S. - -
- ~ 4 j L i . l . & [ ^ . -^^.^1^^^^^ ^ ....
- - - - -^i— - - - - --- -_ = r n _ _ _ ,
AJmaK @ iop ö? beom mc V 1.?0-" ^ - 6 %S rnm
l ( S : U VB j j m ^ x T ^ i i S
Page 4 of 17
Exam AEl 108-11: Aerospace Mechanics of Materials
Answer sheets Student no:
17 April 2014 Name: fif^SU^C CnCX^e^
(Problem 1 continued)
d) Calculate the minimum shear strength i of the adhesive in o rder to prevent failure
along the bonded interface. In the rounding of the answer be mindful of the design
criterion.
Bereken de minimale schuifsterkte r van de lijm om het begeven van de lijmlaag te
voorkomen. Hou bij het afronden van het antwoord rekening met het
ontwerpcriterium.
£iecsL.^is^^}^^'^^ As .ckSfxc)
Cx^ V.Vv fy^K. sKac f s t r e s s occurc\r\^ o>V Qc\Vvg&iog>
- -SJQi - - - - - -
X - ^ X ^ E . . _ J^^^.^jcrx<s>/L ^taff\^\l^éo0^A\l~-)^^
QQ^ Zo 100ty-ic5
bad = v o 4- \0 20 tTVD Viryxx Q o d ^ . M P Q
Page 5 of 17
Exam AE1108-II: Aerospace Mechanics of Materials
Answer sheets Student no: I I I I
17 April 2014 Name: fif>3L0erfy>CX:^l
Problem 2 (Weight 2.5 - approx. 45 minutes) A steel pipe with inner diameter d, and outer diameter do, and a solid aluminium rod of
diameter d form the three-segment system illustrated below.
Een stalen buis met binnendiameter d, en buitendiameter do en een massieve aluminium
staaf met diameter d vormen het onderstaande samengestelde systeem.
Relevant values:
Li = L2-0.5m; L3 = lm; ögap = 0.75 mm; do = 50mm; di = 45mm; d = 20 mm; Eai-70
GPa; Esteei = 200 GPa; F = SOkN;
L
steel pipe
Questions
"rigid plate aluminum rod
Figure Q2
a) Calculate the normal stress in the three segments due to the applied force F with
the correct sign for tension (+) or compression (-) assuming D makes contact with
the wall.
Bereken de normaalspanning ten gevolge van de aangebrachte kracht F in ieder van
de drie segmenten met het juiste teken voor trek(+) en druk(-). Neem aan dat D
contact maakt met de muur.
^ — r -— ^
- - • '
I ÏT < ^ s k ? ^ , i n d e f e e r p D i n o a - j
; "3 ér^-\
-V-V
3 J 3 pr>m
Page 6 of 17
% ' " E ^ - f>
6 .=^^^^ [ i y l
Exam AE1108-II: Aerospace Mechanics of Materials
Answer sheets Student no:
17 April 2014 Name: R c t S U ^ r m o d e l
(Problem 2 continued)
CO
JEo\£<»\
I. M M loi . 3 i y = x 6
Sybök. (jJ Qisjev
L ^ = 6 9 ^
- -6qco » ^ l=kL^— \
- - J s k . . . _ f ^ L
Page 7 of 17
Exam AEl 108-11: Aerospace Mechanics of Materials
Answer sheets Student no:
17 April 2014 Name: I^PtSCjOgr rr> o d g - ^
(Problem 2 continued)
b) Calculate what minimum temperature change AT, in addition to the applied force F,
would need to be applied to the entire system such that the resultant stress in
segment CD is 0 MPa (aai = 21 x 10-V°C; «steei = 12 x 10"V°C). In the rounding of the
answer be mindful of the design criterion.
Bereken welke minimale temperatuursverandering AT er, naast de al aangebrachte
kracht F, te weeg moet worden gebracht in het totaie systeem zodat de resulterende
normaalspanning in deel CD gelijk is aan O IVIPa (aai - 21 x 10'^/°C; a^teei -12x10'
Hou bij het afronden van het antwoord rekening met het ontwerpcriterium.