A mechanic uses a crowfoot wrench to loosen a holt at E. Knowing that the mechanic applies a vertical 24-lh force at A. determine the principal stresses and the maximum shearing stress at point H located as shown on top of the -in. diameter shaft.

Step No: 1

Force applied on a wrench vertically

Diameter of a shaft

Equivalent force – couple system at center of shaft in section at point H

Vertical force

Moment of shaft

Torque

Step No: 2

Shaft cross – section

Radius of the shaft

Polar moment of inertia

Moment of inertia

Step No: 3

Torsion

Step No: 4

Bending

Step No: 5

Transverse shear at point H stress due to transverse shear is zero

Resultant stresses

Step No: 6

Average stress

Step No: 7

Maximum shear stress

Step No: 8

Maximum stress

Minimum stress

Maximum shear stress (in plane )