(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 Consider the frame shown below: (a) Without conducting any analyses, which of the two columns, AB andCD, is expected to experience a larger shear force? Explain the reasons, (b) Using the slope-deflectionequations, determine the end moments of all members, (c) Compute the horizontal reactions at points Aand D and compare the result with the expectation from part (a). EI is constant and all members are axiallyrigid.10 kipsB15 ftA10 ftс10 ftD

Solution: a) column AB experiences a larger shear force when compared to column CD because of the…

Consider the frame shown below: (a) Without conducting any analyses, which of the two columns, AB and CD, is expected to experience a larger shear force? Explain the reasons, (b) Using the slope-deflection equations, determine the end moments of all members, (c) Compute the horizontal reactions at points A and D and compare the result with the expectation from part (a). EI is constant and all members are axially rigid. 10 kips B 15 ft 10 ft C 10 ft

Consider the frame shown below: (a) Without conducting any analyses, which of the two columns, AB and CD, is expected to experience a larger shear force? Explain the reasons, (b) Using the slope-deflection equations, determine the end moments of all members, (c) Compute the horizontal reactions at points A and D and compare the result with the expectation from part (a). EI is constant and all members are axially rigid. 10 kips B 15 ft 10 ft C 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

Consider the frame shown below: (a) Without conducting any analyses, which of the two columns, AB and
CD, is expected to experience a larger shear force? Explain the reasons, (b) Using the slope-deflection
equations, determine the end moments of all members, (c) Compute the horizontal reactions at points A
and D and compare the result with the expectation from part (a). EI is constant and all members are axially
rigid.
10 kips
B
15 ft
A
10 ft
с
10 ft
D

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