An aluminum bar of solid circular cross section is twisted by torques T acting atthe ends (see figure). The dimensions and shear modulus of elasticity are asfollows: L = 1.4 m, d = 30 mm, and G = 29 GPa.TTL(a) Determine the torsional stiffness of the bar. (Round your answer to thenearest whole number.)kT =|N.m(b) If the angle of twist of the bar is 4° what is the maximum shear stress?(Round your answer to two decimal places.)TmaxMPa(C) What is the maximum shear strain (in radians)? (Round your answer to thenearest whole number).Ymax|x10-6 rad

Given L = 1.4m d = 30mm = 0.03 m G = 29GPa = 29*109 N/m2

Answered: An aluminum bar of solid circular cross…

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

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An aluminum bar of solid circular cross section is twisted by torques T acting at
the ends (see figure). The dimensions and shear modulus of elasticity are as
follows: L = 1.4 m, d = 30 mm, and G = 29 GPa.
T
T
L
(a) Determine the torsional stiffness of the bar. (Round your answer to the
nearest whole number.)
kT =|
N.m
(b) If the angle of twist of the bar is 4° what is the maximum shear stress?
(Round your answer to two decimal places.)
Tmax
MPa
(C) What is the maximum shear strain (in radians)? (Round your answer to the
nearest whole number).
Ymax
|x10-6 rad

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c. If a hole of diameter d/2 is drilled longitudinally through the bar, what is the ratio of the torsional
stiffnesses of the hollow and solid bars? What is the ratio of their maximum shear stresses if both are acted
on by the same torque?
d. If the hole diameter remains at d/2, what new outside diameter d2 will result in equal stiffnesses of the
hollow and solid bars?

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