Three parallel vertical rods of equal length (L-2m) support a rigid beam AB to which a force (P-40kN) is applied. The middle rods is shorter than its design length by (A=0.2 mm). During operation the temperature of the assembly may rise by (20°C). Find the stresses in cach rod. 1.5 m 1 m Сoрper A=200mm E=100GPA a=17x10 Steel A=100mm2 E=200GPA a=13×10C Steel A=300mm E=200GPA =13x10 0.2mm B 0.25m P=40KN

Three parallel vertical rods of equal length (L-2m) support a rigid beam AB to which a force (P-40kN) is applied. The middle rods is shorter than its design length by (A=0.2 mm). During operation the temperature of the assembly may rise by (20°C). Find the stresses in cach rod. 1.5 m 1 m Сoрper A=200mm E=100GPA a=17x10 Steel A=100mm2 E=200GPA a=13×10C Steel A=300mm E=200GPA =13x10 0.2mm B 0.25m P=40KN

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.7P: Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of...

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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

Three parallel vertical rods of equal length (L-2m) support a rigid beam
AB to which a force (P-40kN) is applied. The middle rods is shorter than
its design length by (A-0.2 mm). During operation the temperature of the
assembly may rise by (20°C). Find the stresses in each rod.
1.5 m
m
Сорper
A=200mm
E=100GPA
a=17x10
Steel
Steel
A=100mm
E=200GPA
A=300mm
E=200GPA
a=13x106
a=13×10C
0.2mm
B
A
0.25m
P-40KN

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