A stepped shaft ACB shown in Figure Qz having solid circular cross sections with two different diameters is held against rotation at the ends. The parameter of X and Y are given in Table Q2. (i) By drawing the free-body diagram of the shaft, write the equation of moment equilibrium and the compatibility equation for the shaft. (ii) Using the torque-displacement relation, p= (TL) /(JG), solve the reactive torques, TT, in terms of torque To. (iii) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment AC. (iv) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment CB. (v) By comparing the result in (iii) and (iv), what is the maximum torque (To)max that may be applied at section C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Parameter
X
Y
X mm
Y mm
225 mm
450 mm
Figure Q2
Table Q2: Parameter of the shaft's diameter
20 mm
25 mm
A
|--2
To
B
Transcribed Image Text:Parameter X Y X mm Y mm 225 mm 450 mm Figure Q2 Table Q2: Parameter of the shaft's diameter 20 mm 25 mm A |--2 To B
Q2
A stepped shaft ACB shown in Figure Q2 having solid circular cross sections with two
different diameters is held against rotation at the ends. The parameter of X and Y are
given in Table Q2.
(i)
By drawing the free-body diagram of the shaft, write the equation of moment
equilibrium and the compatibility equation for the shaft.
(ii)
Using the torque-displacement relation, p = (TL) /(JG), solve the reactive
torques, TT in terms of torque To.
(iii) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable
torque To based upon shear stress in segment AC.
(iv)
If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable
torque To based upon shear stress in segment CB.
(v)
By comparing the result in (iii) and (iv), what is the maximum torque (To)max
that may be applied at section C.
Transcribed Image Text:Q2 A stepped shaft ACB shown in Figure Q2 having solid circular cross sections with two different diameters is held against rotation at the ends. The parameter of X and Y are given in Table Q2. (i) By drawing the free-body diagram of the shaft, write the equation of moment equilibrium and the compatibility equation for the shaft. (ii) Using the torque-displacement relation, p = (TL) /(JG), solve the reactive torques, TT in terms of torque To. (iii) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment AC. (iv) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment CB. (v) By comparing the result in (iii) and (iv), what is the maximum torque (To)max that may be applied at section C.
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