Faculty of Mechanical Engineering Engineering Mechanics Centre of Studies
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Axial Loading
Materials for this chapter are taken from :
1. 2. Ferdinand P. Beer, E. Russell Johnston,Jr, John T. Dewolf, David F. Mazurek “ Mechanics of Materials” 5th Edition in SI units R.C.Hibbeler “ Mechanics of Materials “ Seventh Edition
Ch 2 - 1
MEC411
Faculty of Mechanical Engineering Engineering Mechanics Centre of Studies
Introduction
Suitability of a structure or machine may depend on the deformations in the structure as well as the stresses induced under loading. Statics analyses alone are not sufficient. Considering structures as deformable allows determination of member forces and reactions which are statically indeterminate. Determination of the stress distribution within a member also requires consideration of deformations in the member. Chapter 2 is concerned with deformation of a structural member under axial loading. Later chapters will deal with torsional and pure bending loads.
Ch 2 - 2
MEC411
Faculty of Mechanical Engineering Engineering Mechanics Centre of Studies
Saint-Venant’s Principle
Saint-Venant’s Principle
states that both
localized deformation and stress tend to “even out” at a distance sufficiently removed from these regions.
Ch 2 - 3
MEC411
Faculty of Mechanical Engineering Engineering Mechanics Centre of Studies
Normal Strain under Axial Loading
P s = = stress A
e=
d
L
2P P s = = 2A A
= normal strain
e =
d
L
P s= A 2d d = e= 2L L
Ch 2 - 4
MEC411
Faculty of Mechanical Engineering Engineering Mechanics Centre of Studies
Stress-Strain Test
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Tensile Test Machines & Specimens
Ch 2 - 5
MEC411
Faculty of Mechanical Engineering Engineering Mechanics Centre of Studies
Stress-Strain Test: Ductile Materials
necking rupture
Test specimen with tensile load elongation occurs...
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