Determine the reactions and draw the shear and bending moment diagrams for the three-span continuous beam shown in Fig. 13.21(a) due to the uniformly distributed load and due to the support settlements of 5/8 in. at B, 11 2 in. at C, and 3/4 in. at D. Use the method of consistent deformations. D10.25 in.in. N0.375 in.I in.0.5 in.0.75 in2 k/ft1.0 in.A,–20 ft +20 ftHE = 29,000 ksi 1=7,800 in.4D,Chord of– 20 ft-prinary beamC,(b) Support Settlements(a) Indeterminate Beam2 k/ftA, =0 AfBAy = 1.098 kCy = 61.451 kB, = 122.373 kD, = 60.176 kReactions81.27541.275B-1.098-20.176-41.098-60.176Shear diagram (k)803.54AB-421.96Bending moment diagram (k-ft)(c) Support Reactions and Shear and BendingMoment Diagrams for Continuous BeamFIG. 13.21

EI=29000×7800 kip in2 1in=12-1 ft EI=29000×7800×6.94×10-3…

Answered: D 10.25 in. in. N0.375 in. I in. 0.5…

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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Determine the reactions and draw the shear and bending moment diagrams for the three-span continuous beam shown in Fig. 13.21(a) due to the uniformly distributed load and due to the support settlements of 5/8 in. at B, 11 2 in. at C, and 3/4 in. at D. Use the method of consistent deformations.

D
10.25 in.
in. N0.375 in.
I in.
0.5 in.
0.75 in
2 k/ft
1.0 in.
A,
–20 ft +20 ftH
E = 29,000 ksi 1=7,800 in.4
D,
Chord of
– 20 ft-
prinary beam
C,
(b) Support Settlements
(a) Indeterminate Beam
2 k/ft
A, =0 Af
B
Ay = 1.098 k
Cy = 61.451 k
B, = 122.373 k
D, = 60.176 k
Reactions
81.275
41.275
B
-1.098
-20.176
-41.098
-60.176
Shear diagram (k)
803.54
A
B
-421.96
Bending moment diagram (k-ft)
(c) Support Reactions and Shear and Bending
Moment Diagrams for Continuous Beam
FIG. 13.21

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