Question
Asked Nov 8, 2019

Consider the two-member frame shown in (Figure 1). Suppose that w1 = 250 N/m , w2 = 420 N/m . Follow the sign convention.

Determine the internal normal force at point E.

Determine the internal shear force at point E.

Determine the internal moment at point E.

В
|D
-2 m
1.5 m
E
4 m
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В |D -2 m 1.5 m E 4 m

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Expert Answer

Step 1

Given data as per question

250N/m
w 420 N/m
В
D
2 m
15 m
4 m
Considering section, A-B
250 4-1000N
в
В,
х
Am
В,
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250N/m w 420 N/m В D 2 m 15 m 4 m Considering section, A-B 250 4-1000N в В, х Am В,

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Step 2
Considering section, A-B
2504-1000N
"В,
В,
Ay
ΣΜ.-0
Bx4-1000x2 = 0
B 500N
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Considering section, A-B 2504-1000N "В, В, Ay ΣΜ.-0 Bx4-1000x2 = 0 B 500N

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Step 3

Considering mem...

Β.
x420x1.5
ΣΜ-0
-500x4+3 15 x 0.5+ Β, x 1.5 = 0
B 1438.33N
Segment E
|(4)
ΣΗ-0
-NE-1438.33-315 0
N1.123kN
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Β. x420x1.5 ΣΜ-0 -500x4+3 15 x 0.5+ Β, x 1.5 = 0 B 1438.33N Segment E |(4) ΣΗ-0 -NE-1438.33-315 0 N1.123kN

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