Question 3: The beam is subjected to the uniform distributed load shown. Draw the shear and moment diagrams for the beam.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.55P: Solve Prob. 10.54 assuming that A and B are connected by a spring of stiffness k = 0.3 W/b and free...
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1 Question 3:
2 The beam is subjected to the uniform distributed load shown. Draw the shear and
moment diagrams for the beam.
3
4
5
Take
C kN/m
6
2
m
7
1.5
m
8
2
kN/m
A
9
B m
10
11
12
13
14
15
16 Solution:
17 Equation of Equilibrium:
18
19
0.5(A+1) m
20
21
22
23
24
25
26
27
28
29
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31
32
33
34
35
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47
A =
B =
C =
vl
Ay
A meter
(a)
M = 0;
Fac (3/5) A-0.5C (A+1) = 0
ΣF, = 0; A, +Fac(3/5)-C (A+1)=0
M(KNM)
v3
MI
x2
x2
5
C(A+1) KN
v2
FBC
M3
Ay
A m
A₁ =
C kN/m
A.M
B
(b)
KN
KN
V₁ (kN) =
x₂ (m) =
V₂ (kN) =
+-X(M) V₂ (KN) =
M, (kNm) =
M₂ (kNm) =
Transcribed Image Text:1 Question 3: 2 The beam is subjected to the uniform distributed load shown. Draw the shear and moment diagrams for the beam. 3 4 5 Take C kN/m 6 2 m 7 1.5 m 8 2 kN/m A 9 B m 10 11 12 13 14 15 16 Solution: 17 Equation of Equilibrium: 18 19 0.5(A+1) m 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 A = B = C = vl Ay A meter (a) M = 0; Fac (3/5) A-0.5C (A+1) = 0 ΣF, = 0; A, +Fac(3/5)-C (A+1)=0 M(KNM) v3 MI x2 x2 5 C(A+1) KN v2 FBC M3 Ay A m A₁ = C kN/m A.M B (b) KN KN V₁ (kN) = x₂ (m) = V₂ (kN) = +-X(M) V₂ (KN) = M, (kNm) = M₂ (kNm) =
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