Prob. 4.3-13. The solid circular shaft in Fig. P4.3-13 is sub- jected to a distributed external torque that varies linearly from intensity of to per unit of length at x = 0 to zero at x = L. The shaft has a diameter d and shear modulus G and is fixed to a rigid wall at x = 0. (a) Determine an expression for the maximum (cross-sectional) shear stress in the shaft as a function of the distance x from the left end. (b) Deter- mine an expression for the total angle of twist, d, at the free end. The shear modulus of elasticity is G. t(x) P4.3-13 OB OF B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Prob. 4.3-13. The solid circular shaft in Fig. P4.3-13 is sub-
jected to a distributed external torque that varies linearly
from intensity of to per unit of length at x = 0 to zero at x =
L. The shaft has a diameter d and shear modulus G and is
fixed to a rigid wall at x = 0. (a) Determine an expression
for the maximum (cross-sectional) shear stress in the shaft
as a function of the distance x from the left end. (b) Deter-
mine an expression for the total angle twist, d. at the
free end. The shear modulus of elasticity is G.
C
to
-t(x)
P4.3-13
OB
Transcribed Image Text:Prob. 4.3-13. The solid circular shaft in Fig. P4.3-13 is sub- jected to a distributed external torque that varies linearly from intensity of to per unit of length at x = 0 to zero at x = L. The shaft has a diameter d and shear modulus G and is fixed to a rigid wall at x = 0. (a) Determine an expression for the maximum (cross-sectional) shear stress in the shaft as a function of the distance x from the left end. (b) Deter- mine an expression for the total angle twist, d. at the free end. The shear modulus of elasticity is G. C to -t(x) P4.3-13 OB
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