Question

draw the shear and moment diagram and identify the maximum bending moment and maximum shear force.

1.

Explanation:

Calculate reaction forces \(R_1\) and \(R_2\)

$$
LATEXBLOCK0
$$

Determine shear force values along the beam

$$
LATEXBLOCK1
$$

Determine bending moment values along the beam

$$
LATEXBLOCK2
$$

Answer:

Reaction Forces:
\(R_1 = 90\text{ kN}\) (upward)
\(R_2 = 0\text{ kN}\)

Maximum Shear Force:
\(V_{\max} = 60\text{ kN}\) (at section B)

Maximum Bending Moment:
\(M_{\max} = 60\text{ kN}\cdot\text{m}\) (at section C and just to the left of the applied couple at 5 m from A)