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 = 27 GPa. a) Determine the torsional stiffness of the bar. (Round your answer to the nearest whole number.) ET = 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.) max = MPa c) What is the maximum shear strain (in radians)? (Round your answer to the nearest whole number). max = ×10-6 rad
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 = 27 GPa. a) Determine the torsional stiffness of the bar. (Round your answer to the nearest whole number.) ET = 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.) max = MPa c) What is the maximum shear strain (in radians)? (Round your answer to the nearest whole number). max = ×10-6 rad
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 = 27 GPa.
(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 =
MPа
(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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