Topic: Torsion stress/deflection.Use formula and provide step by step solution. Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft,and where does it occur? The solid shaft shown is made of steel, (b) what is the angle of twist indegrees between A and D?165 N-m550 N-m 440 N-m55 N-m30 mm 140 mmB-0.9 m20 mm1.2 m0.6 mSteel Modulus of Rigidity:G= 83, 000 MPaProvide step by step solution showing all work. Angle of Twist formula:$ = angle of twist (radians)T= torque (N.mm)L= length (mm)G= modulus ofTLrigidity (MPa)J= polar momentJGof inertia (mm)Torsion shear stress formula:= shear stress (MPa)•T = torque (N.mm)Tr•r= radius (mm)• J = polar momentof inertia (mm4)JPolar moment of Inertia formula for a solid circular shaftπάJ =32

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Engineering

Civil Engineering

Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft,

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Topic: Torsion stress/deflection.

Use formula and provide step by step solution.

Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft,
and where does it occur? The solid shaft shown is made of steel, (b) what is the angle of twist in
degrees between A and D?
165 N-m
550 N-m 440 N-m
55 N-m
30 mm 140 mm
B
-0.9 m
20 mm
1.2 m
0.6 m
Steel Modulus of Rigidity:
G= 83, 000 MPa
Provide step by step solution showing all work.

Angle of Twist formula:
$ = angle of twist (radians)
T= torque (N.mm)
L= length (mm)
G= modulus of
TL
rigidity (MPa)
J= polar moment
JG
of inertia (mm)
Torsion shear stress formula:
= shear stress (MPa)
•T = torque (N.mm)
Tr
•r= radius (mm)
• J = polar moment
of inertia (mm4)
J
Polar moment of Inertia formula for a solid circular shaft
πά
J =
32

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