Download Mechanics of Materials - Exam 2 with Solution | EGN 3331 and more Exams Mechanics of Materials in PDF only on Docsity!
Thisis a closed
bookandclosed
notestest.Youmustshow
otlworkandbox/circle
your
final
unswer'
Fortheoverhanging
beamshown
below,
V=@
Za,
s)Co,a) {(o,Y)(
a's-)
Name
EGN3331Mechanics
of Materials:
Test
_
l.
,
3
I ' n
P =
Ib
, _,* i n={n,olr,
j
f-
fr. fil Tll-l. *i"ffi;
/
= B0lbft
W;ffi":
L , = 8 f t _ n ". = s f t * l '
f J , ".
l < - - L , r = 8 1 1
A,I
I '
L 3 = 5 f t * l
= z f i n.
At sy
A) Plotandfully
labelthe
shearandbending
moment
diagrams'
Makesureto indicate
all
pointsof zeroshearandbending
moment
t
{)tho-'
-(aasXa)
*4di-/;or(ro's)=o
--
Bl' 8s'5 /ly=
r\t'f
\0r)
o
@
l.-o
x
i-ryn*
B) Calculatethe
maximumtensilestress
in the beam,
andindicate
its locationmeasured
from
the
pinsupportandon the cross-section
(place a dotandlabel)'
,,-r1. \
tL
a
,
(f^{a,:)(:)3 +
(a s!zyo.is)a
- (i,J(a)(o':f-(r(p":l(az'Y
= n'fi/i^
,o'x(-rc"'-\
f
' [ o ' l D r
\ r a " \ - ' ' \ q ' - l \ - ' r a u ' / \
f f i ]
/ ,---*'1 1."'l
6p,ot=@l-euars:(-r"-'"-\l
t{
4,t-121.,..n
l6rx=ge
I Mffi*ffi
p5i (-r"-o'"i
X. 6 Q
a ' - \ l A
c) calculate
the maximumcompressive
stressin the beam,
andindicate
its locationmeasured
from the pin support
andon the cross-section
(placea dot andlabel)'
5.^^y
9,11ltsL(*-il
X - - g Q
6 ^ o ,
( c " - e \
Therailroadcrosstie spansbetween
the two girders
whicharespaced
s
apart.
lf the
crosstie is loadedby means
of two steelrailslocated
sz= 56'5"apartandcentered
betweenthe
steelgirders,
determinethe maximumshear
stress
in the woodcross
tie F = 10 kips,b = 8", and
d=6"'
dj
-'b',1'
,,'P
O=(3x6(r,s)
= j6i^
a -
-i
/-!/A\lc= lq'li-
_ - P
\ l. I / \ v
/ \
t
- , r
( r or p \ ( e c , ,? \
3t2,5P.'L
(rqq,l)(g;)
Wood
Ay
.i Sreel
/y
( =
girder
r A
_l*
i
-*-__
, ^
l*- it--l
I
=(r4()('aYr)
q,Lt
8 ; -
{-\v
- Plot and labelthe shearand bendingmoment diagramfor the beam
shown
below. Do not be
concernedwith labelingpoints of zero
bendingmoment.
I
*--j
by=l]Bca
@ y - u
Ay=)'lM
---z 1..=C-,
EL/AA
-(qaooYo)* 6y(ta\
--o
ill\ lro-Qr)
o
{fu
A timberbeamis reinforced
on the top and bottombytwo A-
steelplates.useEsteet
ksiand E*ooo
= 1600ksi.
U L.
--;- =
c)
(wt'"1y\1rP,tJ = /u,rro
,r-St
A=
A) Whatis the maximumbendingmomentin the beam?
O,ooo Ib-
/ h -
=-
J Oo'nt'^
--
-
--I1/A
I
I
,
I
B) lf the compositebeamwereto be transformed
to an all steelsection,what
modularratio
(transformation factor)wouldyou use?
p= t49ei.,=
' fz;ssa-I /
AlMa'sc
Cl What is the maximumstressin the steel?
A
= (*n(q,">3-(/"X..zgYri,:)3 = 46,qai^e
'7,
c
v,sL(c",t\
1 C , q ) ; ^ A r
D) Whatis the maximumstressin the wood?
6.^^X
= (''''"d(rr(5'7:)(o''
--
2 9 3 P s ,
( C
" '
t 1
0.25in.
8001b/*
16,qa
t V
, v '
