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