The rods AB and BC are connected by pins at A, B and C, as shown in the left side of Fig. 2. The cross-sectional areas of AB and BC are 150 mm² and 120 mm², respectively. The stress-strain relation for both the rods is shown on the figure on the right. The slope of the stress-strain curve for stresses between 0 and 150 MPa is E₁, whereas the slope for stresses larger than 150 MPa is E2.

The rods AB and BC are connected by pins at A, B and C, as shown in the left side of Fig. 2. The cross-sectional areas of AB and BC are 150 mm² and 120 mm², respectively. The stress-strain relation for both the rods is shown on the figure on the right. The slope of the stress-strain curve for stresses between 0 and 150 MPa is E₁, whereas the slope for stresses larger than 150 MPa is E2.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

The rods AB and BC are connected by pins at A, B and C, as shown in the left side of Fig. 2. The
cross-sectional areas of AB and BC are 150 mm² and 120 mm², respectively. The stress-strain
relation for both the rods is shown on the figure on the right. The slope of the stress-strain curve
for stresses between 0 and 150 MPa is E₁, whereas the slope for stresses larger than 150 MPa is
E2.
B
1.2 m
P
3
4
3.2 m
C
σ MPa
150
E₁ = 100 GPa
E₂ = 50 GPa
E
Figure 2. Rods connected at point B and their stress-strain curve.
What is the elongation of the rods AB and BC when a force P = 40 kN is applied vertically
downwards at B?

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