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Unformatted text preview: ME471 Exam 2 NAME Closed book and notes. May use ONE 8.5x11 in page of your own notes Problem 1
Referring to the ﬁgure, which of the stress components ox oy oz Txy txz or Tyz in the stress 0' T T x xy x2
matrix 6 = Txy O‘y Tyz is NOT zero?.
sz Tyz 02 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 nonzero entries are: 6 = «x 2. At position B non—zero entries are: c = 3. At position C nonzero entries are: 0 = X m mew}
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Closed book and notes. May use ONE 8.5Xll in page of your own notes Problem 2 Frictionless
hearing 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 XZ planes AND
the torsion (T) diagram. 91+ Retina?)
6001 S.‘ 3 Riv/xii Bending in XY plane Bending in XZ plane w 'i continues T: [30134 4» not): 4 seems ME471 Exam 2 NAME
Closed book and notes. May use ONE 8.5xll in page of your own notes 2. Compute the maximum bending stress (0) and torsion shear stress (T) in section at x=5. Enter your
result in the space below. A? X45 Hw}1m H1: gm Tréeos is,”
(X29
W 6’ eewcw are) WVMo‘TtWé’ c2560 25%
H z: m = 31(23‘19}
\ W :3 ’ 5" , L176; as: my 23 "i 53 a: I“ 9 £3“ s meow) 1: 20.43155)
3% We” mm At x=5 e=%.4r KS2 1:30.55» 3. Compute the principal stresses at the critical position in the cross section at x=5. Ignore shear stresses
due to bending. At x=5 0'1— t5) 02: "’2 3'8 535} in) m ME471 Exam 2 NAME Closed book and notes. May use ONE 8.5X11 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. Use the matrix below to state which type of
stress is caused by each load at each point, by
entering the words “BENDING”, “AXIAL”
and/or “TORSION” in the corresponiding box. frictionl DO NOT GUESS: an entry in the wrong bemng location will count against a correct answer! V frictionless
bearing Position A Position B Position C Position D
Load P
g T” g
t T
Load Q E
e A 7/3?" A
Load R
B a»
E w l
, l
L ...
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 Spring '06
 diaz
 Force, Shear, maximum bending stress, Tyz, XY plane Bending, torsion shear stress

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