Consider a long steel bar under a tensile stress due to force’s F acting at the edges along the length of the bar (Fig. 9.5). Consider a plane making an angle θ with the length. What are the tensile and shearing stresses on this plane?
(a) For what angle is the tensile stress a maximum?
(b) For what angle is the shearing stress a maximum?
Now, in the given questions we are being asked about inclined plane at an angle θ. Considering only inclined plane part, we can resolve the forces parallel and perpendicular to it.
For calculating area, let us assume cross-section area of long bar is A. Therefore it as reference we can calculate cross-section of inclined plane as
Therefore tensile force is given by
Therefore, Tensile force is maximum when 
as 
Shearing force is given by,
Therefore, Shearing force is maximum when 
as 
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