Draw the free body diagram and solve Given: The 100-kg uniform rectangular plate is supported in the position shown byhinges A and Band by cable CD. The hinge at A can support an axial thrust (thereAy), but the hinge at B cannot (there is no By reaction).can be a non-zeroD450 mmA90 mm675 mmBC690 mm90 mmy270 mmFind: the reactions at the hinges and the tension in the cable.

Consider the free body diagram of the system as shown below.

Given: The 100-kg uniform rectangular plate is supported in the position shown by hinges A and B and by cable CD. The hinge at A can support an axial thrust (there can be a non-zero Ay), but the hinge at B cannot (there is no By reaction).

Given: The 100-kg uniform rectangular plate is supported in the position shown by hinges A and B and by cable CD. The hinge at A can support an axial thrust (there can be a non-zero Ay), but the hinge at B cannot (there is no By reaction).

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.42P: The 350-lb homogeneous plate has the shape of an isosceles triangle. The plate is supported by a...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Draw the free body diagram and solve

Given: The 100-kg uniform rectangular plate is supported in the position shown by
hinges A and Band by cable CD. The hinge at A can support an axial thrust (there
Ay), but the hinge at B cannot (there is no By reaction).
can be a non-zero
D
450 mm
A
90 mm
675 mm
B
C
690 mm
90 mm
y
270 mm
Find: the reactions at the hinges and the tension in the cable.

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