C 1.5 m B 950 Nm 0.7 m 50 mm A The rod shown above is composed of two connected segments: AB is steel with shear modulus Gsteel = 75 GPa and BC is brass with shear modulus Grass = 40 GPa. The steel segment has a diameter of 50 mm. a) Determine the required diameter of the brass segment such that the reaction at A will equal the reaction at C under the applied torque of 950 Nm at B. b) What is the magnitude and direction of the reactions at A and C? c) What is the maximum shear stress developed in the steel and brass rods d) What is the angle of twist at B relative to C?

C 1.5 m B 950 Nm 0.7 m 50 mm A The rod shown above is composed of two connected segments: AB is steel with shear modulus Gsteel = 75 GPa and BC is brass with shear modulus Grass = 40 GPa. The steel segment has a diameter of 50 mm. a) Determine the required diameter of the brass segment such that the reaction at A will equal the reaction at C under the applied torque of 950 Nm at B. b) What is the magnitude and direction of the reactions at A and C? c) What is the maximum shear stress developed in the steel and brass rods d) What is the angle of twist at B relative to C?

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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Question

show all work clearly organized

C
1.5 m
B
950 Nm
0.7 m
50 mm
A
The rod shown above is composed of two connected segments: AB is steel with shear modulus
Gsteel = 75 GPa and BC is brass with shear modulus Grass = 40 GPa. The steel segment has a
diameter of 50 mm.
a) Determine the required diameter of the brass segment such that the reaction at A will equal
the reaction at C under the applied torque of 950 Nm at B.
b) What is the magnitude and direction of the reactions at A and C?
c) What is the maximum shear stress developed in the steel and brass rods
d) What is the angle of twist at B relative to C?

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