A steel pipe of 12-in. outer diameter is fabricated from ¼-in.-thick plate by welding along a helix that forms an angle of 45° with a plane parallel to the axis of the pipe. Knowing that the maximum allowable tensile stress in the weld is 12 ksi, determine the largest torque that can be applied to the pipe.
Fig. P3.151
Find the largest torque that can be applied to the pipe.
Answer to Problem 151RP
The largest torque that can be applied to the pipe is
Explanation of Solution
Given information:
The outer diameter of the steel pipe
The thickness of the steel pipe (t) is
The angle of the helix is
The maximum allowable tensile stress in the weld
Calculation:
Calculate the inner radius of the steel pipe
Substitute
Calculate the polar moment of inertia of steel pipe (J) as follows:
Here,
Substitute
The torsion formula for maximum shear stress in the solid shaft AB
Here, T is the applied internal torque.
Substitute
Therefore, the largest torque that can be applied to the pipe is
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Mechanics of Materials, 7th Edition
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