Question

Calculate the shear force and bending moment at point B for the following beam loading:
4 kN
1.5 m
4 kN
m
1.5 m
B.
2 m
5 m
3 m
R
HR
R
(A) V =3 kN, M) = 3 kN-m
(B) Vo = 5 kN, M, = 3 kN-m
(C)V3 = 5 kN, M, = 5kN-m
(D) Vo = 4 kN, M, = 4kN-m​

Answer 1

Answer:

(D) Vo= 4 kN, M, = 4kN-m

Explanation:

Hope this answer helps you

Answer 2

Option (c) V₃ = 5kN, M = 5kN - m

Given:

A beam with force and distances labelled at different points

To find:

To calculate shear force(V) and bending moment(M) at point B

Solution:

Shear force = V

Reaction = Ra

Bending moment = M

balances the moment = Ra * x

By taking the moment at A:

∑Fy = 0

Ra - P - F - V = 0

V = Ra - P - F

∑Ma = 0

∑Ma - a = 0

- M - F*x₁ - P*x₂ + Ra*x₃ = 0

M = Ra*x₃ - F*x₁ - P*x₂

⇒ 4 * 4 * 2 + 5 * 1.5 - RBy * 8 = 0

⇒ RBy = 35kN

∴ Va = 35/7 = 5kN

⇒ RAy + RBy = 10 * 4 + 20

⇒ RAy = 60 - RBy

⇒ RAy = 25 kN

∴ M = 5kN - m

Hence, option c) V₃ = 5kN, M = 5kN - m is the correct answer.

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