Strength of Materials Outline Overview AXIALLY LOADED MEMBERS THIN-WALLED CYLINDER GENERAL STATE OF...

Strength of Materials Outline Overview

• AXIALLY LOADED MEMBERS• THIN-WALLED CYLINDER• GENERAL STATE OF STRESS• PLANE STRESS + MOHR’S CIRCLE• PLANE STRAIN + MOHR’S CIRCLE• HOOKE’S LAW• TORSION• BEAMS• COMBINED STRESS• COLUMNS (BUCKLING LOAD)

Copyright Kaplan AEC Education 2008-2011

AXIALLY LOADED MEMBERS

• Modulus of Elasticity

• Poisson’s Ratio

• Thermal Deformations

• Variable Load

lateral strain

longitudinal strain

t oL t t

THIN-WALLED CYLINDER

GENERAL STATE OF STRESS

PLANE STRESS• Mohr’s Circle—Stress

STRAIN• Plane Strain

HOOKE’S LAW

TORSION• Circular Shafts• Hollow, Thin-Walled Shafts

x x y z

y y x z

z z x y

TL TGr rGJ J 2z

BEAMS• Shear and Moment Diagrams• Stresses in Beams• Shear Stress• Deflection of Beams• Fourth-Order Beam Equation• Superposition

max,min

d yM EI EI

d yV EI

d yEIdx

EI M x dx

EI y M x dx dx

COMBINED STRESS

COLUMNS

A KL r

Example Problems

Shear-Moment Diagrams

Solution

Mohr’s Circle for Stress

Solution

Solution (continued)

Normal Strain

Solution

Mohr’s Circle for Strain

Solution

Hooke’s Law

Solution

Strain/Deformation

Solution

Angle of Twist

Solution

Shear Stresses in Bending

Solution

Beam Deflection—Integration Method

Solution

Beam Deflection—Superposition Method

Solution

Thin Walled Pressure Vessels

Solution

Euler Buckling of Columns

Solution

Strength of Materials Outline Overview AXIALLY LOADED MEMBERS THIN-WALLED CYLINDER GENERAL STATE OF...

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