2. For the beam shown below, let w。 = 116 N/m, w₁ = 72 N/m, and P = 30 N. All dimensions are in m. 0 Wo WI AA АВ 1 2 3 4 5 6 7 8 Figure 1 Loaded Simply Supported Beam a. Find the reactions at A and B. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). P 9 m d. Determine and plot the shear diagram for the given loading conditions. e. Determine and plot the moment diagram.

2. For the beam shown below, let w。 = 116 N/m, w₁ = 72 N/m, and P = 30 N. All dimensions are in m. 0 Wo WI AA АВ 1 2 3 4 5 6 7 8 Figure 1 Loaded Simply Supported Beam a. Find the reactions at A and B. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). P 9 m d. Determine and plot the shear diagram for the given loading conditions. e. Determine and plot the moment diagram.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

2. For the beam shown below, let w。 = 116 N/m, w₁ = 72 N/m, and P = 30 N. All
dimensions are in m.
b.
c.
d.
e.
0
Wo
W1
ΔΑ
АВ
I
1
2 3 4
5
6 7 8
Figure 1 Loaded Simply Supported Beam
Find the reactions at A and B.
Find the loading function q(x) using singularity functions.
Find the shear and moment functions V(x) and M(x).
P
9 m
Determine and plot the shear diagram for the given loading conditions.
Determine and plot the moment diagram.

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Step 1: Determine reactions at A and B, loading function q(x), shear and moment functions V(x) and M(x)

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Step 2: Determine reactions at A and B

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Step 3: Determine loading functions q(x)

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Step 4: Determine shear function V(x)

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