A cantilever beam of solid, circular cross$-$section supports a tensile load of $75$ kN applied to its free

end at a point $2$ mm above a horizontal diameter in the vertical plane of symmetry together with a

torque of $1500$ Nm $.$

Given:

Diameter of the beam, $d=80mm.$

Tensile load, $P=75kN.$

Point of application, $2$ mm above the diameter.

Torque, $T=1500Nm.$

Objective:

Calculate the direct and shear stresses on a plane inclined at $45$ to the axis of the

cantilever at a point on the upper edge of the vertical plane of symmetry.