Figure Q1 shows a beam with pin support at A, roller supports at C and D and a fixed support at E. Point B is a frictionless pin joint. Span AB is loaded with uniform load of 30 kN/m, and a point load of 50 kN is applied at the mid-span of DE. Support C and D settle downward by 25 mm. The value of E is 200 kN/mm² and I is 400×106 mm*. (a) (b) (c) Identify the best analysis method for the given beam to determine the end moments at C, D and E. Calculate the reaction forces at all supports. Draw the shear force and bending moment diagrams.

Figure Q1 shows a beam with pin support at A, roller supports at C and D and a fixed support at E. Point B is a frictionless pin joint. Span AB is loaded with uniform load of 30 kN/m, and a point load of 50 kN is applied at the mid-span of DE. Support C and D settle downward by 25 mm. The value of E is 200 kN/mm² and I is 400×106 mm*. (a) (b) (c) Identify the best analysis method for the given beam to determine the end moments at C, D and E. Calculate the reaction forces at all supports. Draw the shear force and bending moment diagrams.

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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Question

The Subject is theory of structures

Figure Q1 shows a beam with pin support at A, roller supports at C and D and a fixed support
at E. Point B is a frictionless pin joint. Span AB is loaded with uniform load of 30
kN/m, and a point load of 50 kN is applied at the mid-span of DE. Support C and D
settle downward by 25 mm. The value of E is 200 kN/mm² and I is 400×106 mm².
A
(a)
(b)
(c)
▬▬▬▬▬▬▬▬▬▬▬
Identify the best analysis method for the given beam to determine the end
moments at C, D and E.
4m
Calculate the reaction forces at all supports.
30 kN/m
Draw the shear force and bending moment diagrams.
B
O
Pin joint
3m
C
KOMO
5m
FIGURE Q1
CS Scanned with CamScanner
D
2m
50 kN
ENAY
2m

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Step 1: Introduce the problem statement

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Step 2: Compute flexural rigidity

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Step 3: Determine support reaction at 'A' and moment at 'C'

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Step 4: Drawing the simplified beam and choosing appropriate method

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Step 5: Fixed end moments and boundary conditions

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Step 6: Slope deflection equation

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Step 7: Formulate equilibrium equations and determine joint displacements

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Step 8: Determine support moments and Shear force diagrams

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Step 9: Plot Bending moment diagram

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