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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
1
Chapter 2:Stress, Strain, Axial Loading
Stress – Strain RelationshipDeformation in Axial Load StructuresYoung’s Modulus/Modulus of Elasticity
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
2
Consider Affect of Geometry
strain normal
stress
==
==
L
AP
δε
σ
L
AP
AP
δε
σ
=
==22
LL
AP
δδε
σ
==
=
22
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
3
Load Displacement Curves
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
4
Relationship Between Stress and Strain in Ductile Materials
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
5
Relationship Between Stress and Strain in Brittle Materials
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
6
Behavior of Materials
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
7
Axial Loading and Deformation
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
8
Consider Multiple Steps
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
9
Loading in Non-Prismatic Cross-Section
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
10
Example 1Given the rod shown, it has been reported that under this loading condition the rod has extended a total of 0.1524mm.
Determine the stress in sections a-b and b-cDetermine the strain in sectins a-b and b-c
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Ronald B. Bucinell, Ph.D., P.E. MER214: Strength of MaterialsDepartment of Mechanical Engineering
Union College, Schenefctady, NY
11
Example 2Determine the elongation in this two force member under compressive loading given E=200GPa