Figure Q1 shows a cantilever beam ABCDE subjected to a uniformly distributed load, w from points B to C. There are also a point load and a bending moment at points D and E, respectively. By using Macaulay's method; a) Develop the deflection equation in terms of w, L, E and I. Take point A as the origin. b) Given that El = 100×10“ Nm² and L = 8m, determine the value of w so that the vertical deflection at point C is 2.5 mm. c) Then, develop the slope and deflection functions if a roller support is added at point E. Take w = 600 N/m. P= wL M=LWL² В C D E L/4 L/2 L/8 L/8

Figure Q1 shows a cantilever beam ABCDE subjected to a uniformly distributed load, w from points B to C. There are also a point load and a bending moment at points D and E, respectively. By using Macaulay's method; a) Develop the deflection equation in terms of w, L, E and I. Take point A as the origin. b) Given that El = 100×10“ Nm² and L = 8m, determine the value of w so that the vertical deflection at point C is 2.5 mm. c) Then, develop the slope and deflection functions if a roller support is added at point E. Take w = 600 N/m. P= wL M=LWL² В C D E L/4 L/2 L/8 L/8

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. Figure Q1 shows a cantilever beam ABCDE subjected to a uniformly distributed load, w
from points B to C. There are also a point load and a bending moment at points D and E,
respectively. By using Macaulay's method;
a) Develop the deflection equation in terms of w, L, E and I. Take point A as the origin.
b) Given that EI = 100×106 Nm² and L = 8m, determine the value of w so that the vertical
deflection at point C is 2.5 mm.
c) Then, develop the slope and deflection functions if a roller support is added at point E.
Take w = 600 N/m.
P=wL
M=LwL?
32
B
C
D
L/4
L/2
L/8
L/8
Figure Q1

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