The problem shows a simply supported beam with a point load F applied at a distance a from support A and b from support B. The diagrams below show the shear force and bending moment diagrams. The goal is likely to determine the support reactions $F_A$ and $F_B$.

1. Problem Description

The problem shows a simply supported beam with a point load F applied at a distance a from support A and b from support B. The diagrams below show the shear force and bending moment diagrams. The goal is likely to determine the support reactions $F_A$ and $F_B$.

2. Solution Steps

First, we need to apply equilibrium equations to find the support reactions. The sum of the forces in the vertical direction must be zero.

$F_A + F_B - F = 0$

$F_A + F_B = F$

Next, we sum the moments about point A and set them to zero.

$\sum M_A = 0$

$F_B * l - F * a = 0$

$F_B = \frac{F * a}{l}$

Now, we substitute this value of $F_B$ into the first equation to solve for $F_A$:

$F_A + \frac{F * a}{l} = F$

$F_A = F - \frac{F * a}{l}$

$F_A = \frac{F*l - F*a}{l}$

Since $a+b = l$, then $l - a = b$.

$F_A = \frac{F*b}{l}$

3. Final Answer

$F_A = \frac{F*b}{l}$

$F_B = \frac{F*a}{l}$