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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The Subject is theory of structures
Transcribed Image Text: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
VIEWStep 2: Compute flexural rigidity
VIEWStep 3: Determine support reaction at 'A' and moment at 'C'
VIEWStep 4: Drawing the simplified beam and choosing appropriate method
VIEWStep 5: Fixed end moments and boundary conditions
VIEWStep 6: Slope deflection equation
VIEWStep 7: Formulate equilibrium equations and determine joint displacements
VIEWStep 8: Determine support moments and Shear force diagrams
VIEWStep 9: Plot Bending moment diagram
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