(FEM) AB =(FEM) AB =(₁(FEM) AB=(FEM) AB =(FEM)'AB(FEM)'AB =(FEM)'AB =(FEM)'AB =PLPb²aL²Fixed-end Moment Table for Original Slope-deflection Equations2PL9L5PL163PL16انPLPaL415PL32·aPP·LL L4+4+4+÷·PL4PLb²a +РP+PPa²b1/3+PL4PP(FEM)BA·b+(FEM)BA14344(FEM)BABbB(FEM) BALL4BFixed-end Moment Table for Modified Slope-deflection EquationsBB+BBPLPa²bL²2PL9SPL16(FEM) AB=(FEM) AB=(FEM) AB =(FEM)AB =(FEM)'AB(FEM) 'AB =wL²12W11wL²192(FEM)'ABWwL²20(FEM)'AB =5wL²96WLراستا انسانwL²8VYYYW·LWLW9wL²128liitL2W(FEM)BA=(FEM)BA=(FEM)BA(FEM)BABBwL²15Jantillage5wL²64BwL²12SwL²192wL2305wL²96 (a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute thevertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to computeany needed displacements).A4 m30 kNL-b.4 m B 3 m20 kN6 сDisplacement, A(upward positive):Pbx6LEI0 < x

A continuous beam ABC, supported at A, B, and C. The beam is loaded at 4 m from A by 30 kN 3 m from…

(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute any needed displacements). A 4 m 30 kN 4m B 60 3 m 20 kN 3 m D

(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute any needed displacements). A 4 m 30 kN 4m B 60 3 m 20 kN 3 m D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

(FEM) AB =
(FEM) AB =
(₁
(FEM) AB=
(FEM) AB =
(FEM)'AB
(FEM)'AB =
(FEM)'AB =
(FEM)'AB =
PL
Pb²a
L²
Fixed-end Moment Table for Original Slope-deflection Equations
2PL
9
L
5PL
16
3PL
16
ان
PL
P
a
L
4
15PL
32
·a
P
P
·L
L L
4+4+4+÷·
P
L
4
P
L
b²a +
Р
P
+
P
P
a²b
1/3
+
P
L
4
P
P
(FEM)BA
·b
+
(FEM)BA
14344
(FEM)BA
B
b
B
(FEM) BA
L
L
4
B
Fixed-end Moment Table for Modified Slope-deflection Equations
B
B
+
B
B
PL
Pa²b
L²
2PL
9
SPL
16
(FEM) AB=
(FEM) AB=
(FEM) AB =
(FEM)AB =
(FEM)'AB
(FEM) 'AB =
wL²
12
W
11wL²
192
(FEM)'AB
W
wL²
20
(FEM)'AB =
5wL²
96
W
L
راستا انسان
wL²
8
VYYY
W
·L
W
L
W
9wL²
128
liit
L
2
W
(FEM)BA=
(FEM)BA=
(FEM)BA
(FEM)BA
B
B
wL²
15
Jantillage
5wL²
64
B
wL²
12
SwL²
192
wL2
30
5wL²
96

(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the
vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute
any needed displacements).
A
4 m
30 kN
L
-b.
4 m B 3 m
20 kN
6 с
Displacement, A
(upward positive):
Pbx
6LEI
0 < x <a
Δ=
3 m D
(L² - 6² - x²)
Zd

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Step 3 Vertical displacement at C, 3 m from B

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