sing a method of your choice, calculate the displacement at end D due to the distributed load. Distances go to the centreline of each support. P=221.6 is the same number you calculated for Question One, in N/m. Assume that the stiffness of the beam = 200GPa and the details of the cross section are provided below. Remember to specify the direction of the displac

Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter4: Mechanical Processes
Section: Chapter Questions
Problem 4.20P
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Using a method of your choice, calculate the displacement at end D due to the distributed load. Distances go to the centreline of each support. P=221.6 is the same number you calculated for Question One, in N/m. Assume that the stiffness of the beam = 200GPa and the details of the cross section are provided below. Remember to specify the direction of the displacement.

Useful formulae:
P'A = [M de
EI
M0 = [M,M
EI
d'v
- x EI = M
dr
dv
0; v(x) = max/min
de
- For x, and x; in opposite directions.
r(x), = v(x),
dv
dv
de
A =0
Boundary Conditions for a wall support
e =0
A =0 Boundary Condition for a roller support/bearing and a pin support
Transcribed Image Text:Useful formulae: P'A = [M de EI M0 = [M,M EI d'v - x EI = M dr dv 0; v(x) = max/min de - For x, and x; in opposite directions. r(x), = v(x), dv dv de A =0 Boundary Conditions for a wall support e =0 A =0 Boundary Condition for a roller support/bearing and a pin support
PN/m
A
2m
3m
2m
B
Cross Section
50mm
100mm
...........
Transcribed Image Text:PN/m A 2m 3m 2m B Cross Section 50mm 100mm ...........
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