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.
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.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.3.10P: A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec...
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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 EI = 100×106 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=:
16
W
M=wL²
32
A
B
C
E
L/4
L/2
L/8
L/8
Figure Q1
[Ans: b) w = 601.44 N/m]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90bf8776-1c5c-4344-a649-477634697404%2F49f6ec42-f174-4e70-af41-1de40d89af2d%2Fqoqph5_processed.jpeg&w=3840&q=75)
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 EI = 100×106 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=:
16
W
M=wL²
32
A
B
C
E
L/4
L/2
L/8
L/8
Figure Q1
[Ans: b) w = 601.44 N/m]
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