question_answer

At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force are \[{{\text{W}}_{x}},{{M}_{x}},\] and \[{{V}_{x}},\] respectively, if the intensity of loading is varying continuously along the length of the beam, them the invalid relation is:

A) \[Slop,\,\,{{Q}_{x}}=\frac{Mx}{Vx}\]   

B) \[{{V}_{x}}=\frac{dMx}{dx}\]

C) \[{{W}_{x}}=\frac{{{d}^{2}}Mx}{d{{x}^{2}}}\]                 

D) \[{{W}_{x}}=\frac{d{{V}_{x}}}{dx}\]