A beam is loaded and supported as shown. (a) Use the double-integration method to determine the reactions at supports A and C. Reaction forces are positive upwards and couples are positive counter-clockwise unless otherwise stated. (b) Draw the shear force and bending moment diagrams for the beam. Determine the magnitudes of the maximum shear force and maximum bending moment. (c) Determine the deflection in the middle of the span. Assume P = 37 kN, L- 6.6 m and El - 6.2x 10 kN-m² is constant for the beam. P A B C L/2 Answer: (a) A, = i kN Cy = i kN MA = i kN-m Mc = i kN-m (b) Vmax = i kN Mmax kN-m i (c) VB = i mm

A beam is loaded and supported as shown. (a) Use the double-integration method to determine the reactions at supports A and C. Reaction forces are positive upwards and couples are positive counter-clockwise unless otherwise stated. (b) Draw the shear force and bending moment diagrams for the beam. Determine the magnitudes of the maximum shear force and maximum bending moment. (c) Determine the deflection in the middle of the span. Assume P = 37 kN, L- 6.6 m and El - 6.2x 10 kN-m² is constant for the beam. P A B C L/2 Answer: (a) A, = i kN Cy = i kN MA = i kN-m Mc = i kN-m (b) Vmax = i kN Mmax kN-m i (c) VB = i mm

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

A beam is loaded and supported as shown.
(a) Use the double-integration method to determine the reactions at supports A and C. Reaction forces are positive upwards and
couples are positive counter-clockwise unless otherwise stated.
(b) Draw the shear force and bending moment diagrams for the beam. Determine the magnitudes of the maximum shear force and
maximum bending moment.
(c) Determine the deflection in the middle of the span.
Assume P = 37 kN, L= 6.6 m and El = 6.2 x 104 kN-m2 is constant for the beam.
A
В
L/2"
L/2
Answer:
kN
(a) Ay = i
kN
Cy= i
kN-m
MA =
kN-m
Mc = i
kN
(b) Vmax =
i
Mmax
i
kN-m
(c) VB =
i
mm

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