Problem 1The continuous beam shown in the figure is fixed at both ends A and D, andsupported by rollers at B and C. Assume I = 800 x 106 mm“ and E = 70,000MPа.AB8m8m4 m4 mw1 (kN/m)F (kN)S (mm)206025If there is a settlement of S at the support C, solve the following using slopedeflection method:SOLVE THE FOLLOWING USING ( SLOPE DEFLECTION METHOD)1) Slope at B, in radians2) Slope at C, in radians3) Reaction at A, Ra in kN4) Moment at A, Ma in Kn-m5) Reaction at D, Rd in kN6) Moment at D, Md in kN-m

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SOLVE THE FOLLOWING USING ( SLOPE DEFLECTION METHOD) 1) Slope at B, in radians 2) Slope at C, in radians 3) Reaction at A, Ra in kN 4) Moment at A, Ma in Kn-m 5) Reaction at D, Rd in kN 6) Moment at D, Md in kN-m

SOLVE THE FOLLOWING USING ( SLOPE DEFLECTION METHOD) 1) Slope at B, in radians 2) Slope at C, in radians 3) Reaction at A, Ra in kN 4) Moment at A, Ma in Kn-m 5) Reaction at D, Rd in kN 6) Moment at D, Md in kN-m

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

Problem 1
The continuous beam shown in the figure is fixed at both ends A and D, and
supported by rollers at B and C. Assume I = 800 x 106 mm“ and E = 70,000
MPа.
A
B
8m
8m
4 m
4 m
w1 (kN/m)
F (kN)
S (mm)
20
60
25
If there is a settlement of S at the support C, solve the following using slope
deflection method:
SOLVE THE FOLLOWING USING ( SLOPE DEFLECTION METHOD)
1) Slope at B, in radians
2) Slope at C, in radians
3) Reaction at A, Ra in kN
4) Moment at A, Ma in Kn-m
5) Reaction at D, Rd in kN
6) Moment at D, Md in kN-m

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