(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 Using the slope-deflection equations, (a) determine the end moments of members AB, BC, and BD, (b)determine the rotations A and Oc in terms of EI. EI is constant and all members are axially rigid. It isrequired to use modified slope deflection equations (Lecture 5 Part IV) where possible.A5 ft5 kips10 ftB10 ftD10 ft10 kips10 ftC

To determine Moment at AB, BD, DB Rotation at A and C

Using the slope-deflection equations, (a) determine the end moments of members AB, BC, and BD, (b) determine the rotations A and Oc in terms of EI. EI is constant and all members are axially rigid. It is required to use modified slope deflection equations (Lecture 5 Part IV) where possible. A 5 ft 5 kips 10 ft B 10 ft D 10 ft 10 kips 10 ft

Using the slope-deflection equations, (a) determine the end moments of members AB, BC, and BD, (b) determine the rotations A and Oc in terms of EI. EI is constant and all members are axially rigid. It is required to use modified slope deflection equations (Lecture 5 Part IV) where possible. A 5 ft 5 kips 10 ft B 10 ft D 10 ft 10 kips 10 ft

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

Using the slope-deflection equations, (a) determine the end moments of members AB, BC, and BD, (b)
determine the rotations A and Oc in terms of EI. EI is constant and all members are axially rigid. It is
required to use modified slope deflection equations (Lecture 5 Part IV) where possible.
A
5 ft
5 kips
10 ft
B
10 ft
D
10 ft
10 kips
10 ft
C

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