A metal hollow shaft is subject to a tensile load of 53kN and a positive torsional moment (right hand rule) of 214Nm. It has an outside diameter of 27mm, and a wall thickness of 7mm. Sign Convention: Assume polor coordinates and positive shear acts anticlockwise on the torsion plane For a stress element on the outside surface of the tube, determine: the Maximium in-plane Principal Stress (Answer in MPa). the Minimum in-plane Principal Stress (Answer in MPa). the Principal Angle (Answer in degress). the Maximum in-plane Shear (Answer in Pa). ect the 4 correct answers from the list below/: a. 67192874.1834035 b. -28.4874942705014 c. 13.2490152021839 d. 134385748.366807 e. 17.6653536029118 f. 26.4980304043678 g. 23.7395785587511 h. 173.091128279709 i. 30.9143688050957 j. 259.636692419564 k. -14.2437471352507 I. 83991092.7292544 m. 100789311.275105 n. -18.9916628470009 o. 22.0816920036398 p. 201.939649659661 theta FIXED //,

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.16P: A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm....
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A metal hollow shaft is subject to a tensile load of 53kN
and a positive torsional moment (right hand rule) of 214Nm.
It has an outside diameter of 27mm, and a wall thickness of 7mm.
Sign Convention: Assume polor coordinates and positive shear acts anticlockwise on the torsion plane.
For a stress element on the outside surface of the tube, determine:
the Maximium in-plane Principal Stress (Answer in MPa).
the Minimum in-plane Principal Stress (Answer in MPa).
the Principal Angle (Answer in degress).
the Maximum in-plane Shear (Answer in Pa).
Select the 4 correct answers from the list below/:
a.
67192874.1834035
b. -28.4874942705014
C. 13.2490152021839
d. 134385748.366807
O e. 17.6653536029118
f. 26.4980304043678
g. -23.7395785587511
h. 173.091128279709
30.9143688050957
j. 259.636692419564
k. -14.2437471352507
I. 83991092.7292544
m. 100789311.275105
n. -18.9916628470009
O. 22.0816920036398
P. 201.939649659661
q. 117587529.820956
r. 144.242606899758
S. -9.49583142350046
t.
230.788171039612
theta
FIXED
T
LL
Transcribed Image Text:A metal hollow shaft is subject to a tensile load of 53kN and a positive torsional moment (right hand rule) of 214Nm. It has an outside diameter of 27mm, and a wall thickness of 7mm. Sign Convention: Assume polor coordinates and positive shear acts anticlockwise on the torsion plane. For a stress element on the outside surface of the tube, determine: the Maximium in-plane Principal Stress (Answer in MPa). the Minimum in-plane Principal Stress (Answer in MPa). the Principal Angle (Answer in degress). the Maximum in-plane Shear (Answer in Pa). Select the 4 correct answers from the list below/: a. 67192874.1834035 b. -28.4874942705014 C. 13.2490152021839 d. 134385748.366807 O e. 17.6653536029118 f. 26.4980304043678 g. -23.7395785587511 h. 173.091128279709 30.9143688050957 j. 259.636692419564 k. -14.2437471352507 I. 83991092.7292544 m. 100789311.275105 n. -18.9916628470009 O. 22.0816920036398 P. 201.939649659661 q. 117587529.820956 r. 144.242606899758 S. -9.49583142350046 t. 230.788171039612 theta FIXED T LL
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9781337093347
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Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning