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 = 100x10° Nm? and L = 8m, determine the value of w so that the vertical deflection at point C is 2.5 mm.

Structural Analysis
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Chapter2: Loads On Structures
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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 El = 100×10° Nm? 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
16
M=LwL?
32
A
D
E
L/4
L/2
L/8
L/8
Figure Q1
[Ans: b) w = 601.44 N/m]
Transcribed Image Text: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 El = 100×10° Nm? 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 16 M=LwL? 32 A D E L/4 L/2 L/8 L/8 Figure Q1 [Ans: b) w = 601.44 N/m]
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