Question

MEB1043 A cantilever beam is subjected to a vertical load of 12 kN at point B as shown in FIGURE Q3b. 12 kN FIGURE Q3b Determine the shear force and bending moment at the mid-point of the beam [8 marks] Draw the shear-force and bending-moment diagrams for the beam. [7 marks)

How to find the s.f and bending moment at the MIDPOINT ? Do we need to draw the diagram too?

This is my answer for b ii ,, Is there any problem?

Answer 1

To find bending mid-poit shear force and moment. i. l. SF and B Md d pt comes under AB section is constant from eq" (i) Shear force through out. son SE=12KN from equ (1) Bending moment is linear function to distance x a so, at x = 3, BM d = (12 x 3) = 48 BMd=-12 kNm]

So without drawing SFD and BMD also bending moment and shear force can be calculated just by writing the equation of sections and putting the distance values in it.