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Mechanics of Solids
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EN{ 319 - Mechanics of Solids TEST 1 Fall 2013 - Landis
Narne
trID
Unique Number
Instructions: Shorv all of your work. Free body diagrams are required for equilibrium
analyses. Place a box around your final answers ancl include units.
Problem 1. The wires har.e area y' and modttlns E and yield strength q. (a) Deterrnine
the stress in each rvire. (b) the dorvnrvard deflection/clisplacernent of the load point, (c)
the maximum loacl P that can be applied before oue of the rvires yields.
(20 points)
Problem 2. The bar har.s length -L,axial loacl per unit length p. (n)
Determine the deflcction of the bar
r : L/2 (20 points)
area ,4. tnodrtlus E, and is
Deterrnine the axial stressat tr : L. (.) Deterrnine the
subjectcd to a tniforrn
ns a function of r. (b)
deflection of the bar at
Problem 3. The
each section of thebar has length I,
bar. (20 points)
area A. and moclulu-. E. Determine the stress in
1++)+-t-+
r) ^\r t 4b' t - ' I
?4 l .Lvp
- , - &- JE cb6 EA - 3 Efr ) ds-
Ea) = tfr + !n# * /n, rencws ,+*(/rt')
Sp= SQr=zD= t#"th#
'ZaP=oF = €P
P=O+f=i f
t/{ = 3a
ZE = tr"B{
rs=q
?P/n = o(
o)EL - ZE
En 34hn - ' -
b)
I-fu /*J t 5o ;4 u;//v/;re B urriesyield ailten,I
=tF ) rF=3i6
Lr 77A
z .t
a->
NL.)-Ej f l - - , ^z/ . / \ - . , \
4# 26= V/t-z) ' lU*)=e/ L-tr
Alh) = ?A-*)
nk)= += f (rz)
= #(rrc)
*/r*)
l,'#1rx) dz
* (*-*L')= r#
eh)= +t/r)= # :
lL dgJ, frdr =
a)
EL) -5/t'o=
9, = 4#
Jo'" # dr = ,l* *rr-=)rrsU)-skf"= h(t ' - r t )=?b
")
? - 2at3bryt
- f23A I C , D :B
-__, . , _ , Gp , I lNa: : '
€p,
E*.
A/* = ilp
U*=T
U*--
r'-
EA
= No?EA
- CA/e-r) Ita4
l/* lErtf^n) d ,^'kn s;hahm+ Srr= FA
Cr*nlrd,Cf t& = Src+ So* 4a -- O
tyf* th-+h++%=q)
te,, / IUB - ?rP - l* -o +
,f r--nh un;bn 4"
l/* P+ff i+i la 54= ilcb- M,n o P =a
l'/6, = il*'PAt*o "@l+*,r{
is t-"ibm -+ 4o
t l3 +f l+t /s= t |n
rnr=+L ) qr=y=-?f ,6r=+F
+ N*= Wffi*p
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