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In a spherical dome the hoop stress due to a concentrated load at crown is
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)
The shear force at the ends of a simply supported beam carrying a uniformly distributed load of w per unit length is
The shear force diagram for a simply supported beam carrying a uniformly distributed load of w per unit length, consists of