A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D =4 mm. Consider a linear elastic behavior.

A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D =4 mm. Consider a linear elastic behavior.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.7P: Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and...

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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

A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm.
Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D=4 mm.
Consider a linear elastic behavior.
2 m
1.5 m
3 m
2 m
2 m
Select one:
O P= 235 N
OP= 294 N
O P= 471 N
P=157 N

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