The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB (with constant radius of 4 mm) as shown in Figure Q3(a) can be expressed by the equation t = kx² Nm/m, where x is in meters. If a torque of T = 40 Nm is applied to the bolt head and Gst = 75 GPa, calculate: (i) the constant k (ii) the amount oftwist in radian the 50-mm length of the shank.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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(a)
The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank
AB (with constant radius of 4 mm) as shown in Figure Q3(a) can be expressed by the
equation t = kx² Nm/m, where x is in meters. If a torque of T = 40 Nm is applied to the
bolt head and Gst = 75 GPa, calculate:
Q3
(i)
the constant k
(ii)
the amount of twist in radian the 50-mm length of the shank.
Transcribed Image Text:(a) The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB (with constant radius of 4 mm) as shown in Figure Q3(a) can be expressed by the equation t = kx² Nm/m, where x is in meters. If a torque of T = 40 Nm is applied to the bolt head and Gst = 75 GPa, calculate: Q3 (i) the constant k (ii) the amount of twist in radian the 50-mm length of the shank.
B
T = 40 Nm
55 mm
Figure Q3(a)
Transcribed Image Text:B T = 40 Nm 55 mm Figure Q3(a)
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