Question

A simply supported beam AB is subjected to a concentrated load at C, the centre of the span. The area of the SF diagram from A to C will give

• A. BM at C
• B. Load at S
• C. SF at C
• D. Difference between BM values at A and C

Answer 1

Answer: (A), (D)

Difference between BM values at A and C

(a,d)

$\frac{dM}{dx}=shearforceatanysection=S_x$

on integrating from point A to C

$\Rightarrow {\int }_A^{C}dM={\int }_A^C{S}_x.dx$

$or{M}_C-M_A=AreaofS.F.D.$ between A and C
Now in a simply supported beam AB, bending moment at supports A and B = 0

$i.e.,M_A=M_B=0$

$\therefore$ from (i),

$M_C-0=M_C$

= Area of SFD between A and C
$\therefore$ Answer (a) and (d) are correct options