In Figure I the hydraulic cylinder OA and link OB of length, b, are arranged to control the tilt of the load which has a mass, m, a centre of mass at G and acting at a height, h, above B when 0= 0°. The lower corner, C, is free to roll horizontally as the cylinder linkage elongates. Using the virtual work principle, determine the force, P, in the cylinder necessary to maintain equilibrium at a given angle, 0.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Question 1
In Figure 1 the hydraulic cylinder OA and link OB of length, b, are arranged to control the tilt of the
load which has a mass, m, a centre of mass at G and acting at a height, h, above B when 0= 0°. The
lower corner, C, is free to roll horizontally as the cylinder linkage elongates. Using the virtual work
principle, determine the force, P, in the cylinder necessary to maintain equilibrium at a given angle,
0.
G
A
B
Figure 1
Variable
Value
Unit
800
mm
h
500
mm
100
kg
36
degrees
Transcribed Image Text:Question 1 In Figure 1 the hydraulic cylinder OA and link OB of length, b, are arranged to control the tilt of the load which has a mass, m, a centre of mass at G and acting at a height, h, above B when 0= 0°. The lower corner, C, is free to roll horizontally as the cylinder linkage elongates. Using the virtual work principle, determine the force, P, in the cylinder necessary to maintain equilibrium at a given angle, 0. G A B Figure 1 Variable Value Unit 800 mm h 500 mm 100 kg 36 degrees
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