Prob. # 1] Figure below shows a crank loaded by a force F = 300 lb that causes twisting and bending of a 4-inch-diameter shaft fixed to a support at the origin of the reference system. In actuality, the support may be an inertia, but for the purposes of a stress analysis consider this as a statics problem. a) Draw separate free-body diagrams of the shaft AB and the arm BC, and compute the values of all forces, moments, and torques. Label the directions of the coordinate axes on these diagrams. b) Compute the torsional stress and the bending stress in the arm BC and indicate where these act. c) Locate a stress element on the top surface of the shaft at A, and calculate all the stress components that act upon this element. d) Determine the maximum and minimum principal stresses at point A, and the angle of inclination of the planes on which the principal stresses act. e) Determine maximum shear stress at point A and the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the Stress Elements in dia. -11 in 1.5 in in dia.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Prob. # 1] Figure below shows a crank loaded by a force F = 300 lb that causes twisting and
bending of a 3/4-inch-diameter shaft fixed to a support at the origin of the reference system. In
actuality, the support may be an inertia, but for the purposes of a stress analysis consider this
as a statics problem.
a) Draw separate free-body diagrams of the shaft AB and the arm BC, and compute the
values of all forces, moments, and torques. Label the directions of the coordinate axes
on these diagrams.
b) Compute the torsional stress and the bending stress in the arm BC and indicate where
these act.
c) Locate a stress element on the top surface of the shaft at A, and calculate all the stress
components that act upon this element.
d) Determine the maximum and minimum principal stresses at point A, and the angle of
inclination of the planes on which the principal stresses act.
e) Determine maximum shear stress at point A and the angle of inclination of the element
on which the maximum shear stress occurs.
Note: Draw the Stress Elements
5 in
in dia.
B
in
1.5 in
4 in
in dia.
Transcribed Image Text:Prob. # 1] Figure below shows a crank loaded by a force F = 300 lb that causes twisting and bending of a 3/4-inch-diameter shaft fixed to a support at the origin of the reference system. In actuality, the support may be an inertia, but for the purposes of a stress analysis consider this as a statics problem. a) Draw separate free-body diagrams of the shaft AB and the arm BC, and compute the values of all forces, moments, and torques. Label the directions of the coordinate axes on these diagrams. b) Compute the torsional stress and the bending stress in the arm BC and indicate where these act. c) Locate a stress element on the top surface of the shaft at A, and calculate all the stress components that act upon this element. d) Determine the maximum and minimum principal stresses at point A, and the angle of inclination of the planes on which the principal stresses act. e) Determine maximum shear stress at point A and the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the Stress Elements 5 in in dia. B in 1.5 in 4 in in dia.
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