2.3-8 A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has width b, thickness t, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation 8 of the bar due to the axial loads P. (b) Calculate the elongátion of the bar if the mate- rial is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elasticity is 210 GPa. (c) If the total elongation of the bar is limited to 8max = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa.

2.3-8 A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has width b, thickness t, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation 8 of the bar due to the axial loads P. (b) Calculate the elongátion of the bar if the mate- rial is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elasticity is 210 GPa. (c) If the total elongation of the bar is limited to 8max = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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

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2.3-8 A rectangular bar of length L has a slot in
the middle half of its length (see figure). The bar has
width b, thickness t, and modulus of elasticity E. The
slot has width bl4.
(a) Obtain a formula for the elongation & of the bar
due to the axial loads P.
(b) Calculate the elongátion of the bar if the mate-
rial is high-strength steel, the axial stress in the
middle region is 160 MPa, the length is 750 mm,
and the modulus of elasticity is 210 GPa.
(c) If the total elongation of the bar is limited to
8max = 0.475 mm, what is the maximum length
of the slotted region? Assume that the axial
stress in the middle region remains at 160 MPa.
b
L
L
2
4

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