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(Solved): Problem 2The torsion rod with variable cross-sectionshown in Fig. 2.1 is clamped at A andcarries poi ...
Problem 2
The torsion rod with variable cross-section
shown in Fig. 2.1 is clamped at A and
carries point torques at B (4 kN.m), C (8
kN.m) and D (unknown value T) with the
senses indicated in the figure. It is known
that the diameter of AB is 25 mm, the
diameter of BC is 50 mm and the diameter
of CD is 20 mm. Furthermore, 6L AB = 6LBC
= 5L CD = 1200 mm. If the shear modulus of
the material is 80 GPa, find:
a) The value of T that would make the
angle of twist at point C with respect to A
equal to zero.
b) The maximum value of T that can
applied with the sense shown such that
failure does not occur for an allowable
shear stress of 1.1 GPa. Can the condition
from part a be achieved without failure?
The torsion rod with variable cross-section shown in Fig. 2.1 is clamped at and carries point torques at (8 kN.m) and (unknown value ) with the senses indicated in the figure. It is known that the diameter of is , the diameter of is and the diameter of is . Furthermore, . If the shear modulus of the material is , find: a) The value of that would make the angle of twist at point with respect to equal to zero. b) The maximum value of that can applied with the sense shown such that failure does not occur for an allowable Fig. 2.1: lorsion rod with variable cross-section. shear stress of . Can the condition from part a be achieved without failure?