(a) A cylindrical sample as shown in Figure Q6 is under tensile force F. The tensile stress produces a shear stress T on a plane inclined at an angle to the horizontal. Prove that the shear stress on the inclined plane is at a maximum when 8 is 45°. AF VF Circular cross-section area A, radius r Inclined plane with shear stress T

Structural Analysis
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Chapter2: Loads On Structures
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(a) A cylindrical sample as shown in Figure Q6 is under tensile force F. The tensile stress
produces a shear stress T on a plane inclined at an angle to the horizontal. Prove that
the shear stress on the inclined plane is at a maximum when is 45°.
F
FL
Circular cross-section
area A, radius r
Inclined plane with
shear stress T
Figure Q6
Transcribed Image Text:(a) A cylindrical sample as shown in Figure Q6 is under tensile force F. The tensile stress produces a shear stress T on a plane inclined at an angle to the horizontal. Prove that the shear stress on the inclined plane is at a maximum when is 45°. F FL Circular cross-section area A, radius r Inclined plane with shear stress T Figure Q6
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