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Unformatted text preview: ME471 Exam 2 NAME Closed book and notes. May use ONE 8.5xll in page of your own notes Problem 1 The l in diameter shaft in the ﬁgure is
supported at one end by a frictionless bearing
and at the other by a clutch that prevents it
from rotating. The shaft supports two 4 in
radius pulleys, each carrying loads as shown.
Here you may ignore shear due to bending 1. Sketch in the space below the shear stress
(V) and the bending moment (M) diagrams for
bending in the XY and the X2 planes AND
the torsion (T) diagram. t—w—«wwwa 21463
24+ (22;: foot)
lo a 900:: 1322,
Bending in XY plane
V
200 Frictionless
bearing 2;:400 {2F5 9160 all? M PaWa 43151)
‘30be er W92? 0 Bending in X2 plane Cloanédvéoox 4’ r:
6000 “$0. continues lﬁfbﬁ £1: ME471 Exam 2 NAME
Closed book and notes. May use ONE 8.5x11 in page of your own notes 2. Compute the maximum bending stress (6) and torsion shear stress (T) in section at x=10 Enter your
result in the space below. AT scino HUM) =25!) waié’m ’7’: £005 is,“ W '
MA’XL U” P2000065) B25 M24 23003.}, ‘mt " ZJBQO l‘e—am M 32,
04.: .. MH , guess): 2%4 £5) C= 3—: ; 193" ,2 iétsom) 306 m
{5/10 ff$3 my?)
a Atx=10
5: 2%,4 K5! T: 30%» K5) 3. Compute the principal stresses at the critical position in the cross section at x=10. Ignore shear stresses
due to bending. 'L L . ’
075),: (93:) f \[a +£g)L
M
é {2:5er W‘iwtﬁza‘t?
Atx=10 a, = 4 2r. 2 w a: «rage, ME471 Exam 2 NAME Closed book and notes. May use ONE 8.5x11 in page of your own notes Problem 2
Referring to the ﬁgure, which of the stress corn orients c 6 oz ‘Cx In or 1: Z in the stress
X Y Y Y 0' T T x xy xz
matrix 0 = Txy O'y Tyz is NOT zero?.
sz Ty: 0': Answer by entering an “X” in the location in the
matrix where the stress component is not zero.
You must consider all axial, bending, torsion and
shear due to bending possibilities. DO NOT GUESS: an X in the wrong location
will count against a correct answer! 1. At position A non—zero entries are: 6 = 2. At position B nonzero entries are: 6 = i 3. At position C nonzero entries are: (I = >\ {X l crow ggwmer (mwgprowreh
Mrs 15 w x! Diner/“nevi Bessemer 80'3" B—AT‘ meat
#21:: =35 039
”(023154 W 5% BENDNG/r we TBQSKN 29/. ME471 Exam 2 NAME
Closed book and notes. May use ONE 8.5xll in page of your own notes Problem 3. The shaft in the figure is is static equilibrium
under the loads P and Qand R, which may
cause bending, axial and/or torsional stresses at
positions A, B, C and D. frictionless Use the matrix below to state which type of bearing stress is caused by each load at each point, by entering the words “BENDING”, “AXIAL”
and/or “TORSION” in the corresponiding box. frictionl
bearing DO NOT GUESS: an entry in the wrong
location will count against a correct answer! Position A Position B Position C Position D
Load P
E B T
T
Load Q E
E s T
HLoad R
A ﬁe ‘ A A ...
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 Spring '06
 diaz

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