1. Determine the member end moments, reactions and draw the shear and bending moment diagrams for the beam shown using the moment distribution method and the support settlements of 30 mm at B and 50 mm at C. 15 kN/m E = 70 GPa I= 1,300 x 10° mm EI = constant 8m 8m

1. Determine the member end moments, reactions and draw the shear and bending moment diagrams for the beam shown using the moment distribution method and the support settlements of 30 mm at B and 50 mm at C. 15 kN/m E = 70 GPa I= 1,300 x 10° mm EI = constant 8m 8m

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

1. Determine the member end moments, reactions and draw the shear and bending moment diagrams for
the beam shown using the moment distribution method and the support settlements of 30 mm at B and
50 mm at C.
15 kN/m
E = 70 GPa
I= 1,300 x 10° mm
EI = constant
8m
8m

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THE OVERHANGING BEAM IN THE FIGURE CARRIES A TRIANGULAR LOADING, THE INTENSITY OF WHICH VARIES FROM O TO 10 KN/M, AN UNKNOWN CONCENTRATED LOADING P, AND AN UNKNOWN UNIFORMLY DISTRIBUTED LOADING W. KNOWING THAT IT HAS BEEN EXPERIMENTALLY DETERMINED THAT THE BENDING MOMENT IS +128/9 KN MAT C AND +172/9 KN-M AT D. (A) DETERMINE THE VALUES OF P (IN KN) AND W (IN KN/M), (B) DRAW THE SHEAR AND BENDING-MOMENT DIAGRAMS. (C) DETERMINE THE LOCATION OF ZERO SHEAR FROM POINT A AND THE MAGNITUDE OF MAXIMUM MOMENT. NEGLECT THE WEIGHT OF THE BEAM. HINT: THE LOCATION OF ZERO SHEAR IS ALSO WHERE M-MAX OCCUR: W 10 kN/m A C E 2 m 2 m 2 m 2 m
use K = 4EI/L AND K=3EI/L
1. Determine the member end moments, reactions and draw the shear and bending moment diagrams for the beam shown using the moment distribution method and the support settlements of 30 mm at B and 50 mm at C. 15 kN/m E = 70 GPa I= 1,300 x 10° mm EI = constant 8 m 8 m
1. a) Use the Force Method to determine the reactions and draw the shear and moment diagrams for the beam shown. Select By as the redundant reaction. E=30000 ksi,I = 288 inª. b) Repeat, if, in addition to the applied forces, support B settles 0.5 in. vertically downward (requires a modification of the compatibility equation). L | 12 ft B 6 ft C 2 k/ft 6 ft D
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Determine the reactions and draw the shear and bending moment diagrams for the beams shown by using the matrix analysis.
Question 4: Analyze the frame shown in fig (c) and draw the shear and moment diagrams for each member of the frame using the method of consistent deformation. Assume A and B are pins. El is constant. 20 kN-m 20 kN-m D. 3 m 4 m B Fig. c