Review for Final Exam

Zhao section (1:30-2:20pm)

2019.04.22

Final exam is comprehensive!

Shear force and bending moment diagrams

Internal shear force and moment:

Example

Axial stress and strain

Normal stress avg

P

A

Normal strain avg

L

L

.

Failureor yield stressFS

Max allowable stress

Hooke’s law x xE

Example

Solution

Shear stress and strain

Shear strain

Shear stress

* tan *2 2

s

sL

avg

V

A

Hooke’s law G

ExamplesPunching press

Double shear pin

Example

Shear stress due to torsion

Stress-torque relationship:

Example

Solution

Normal stress in beams

Normal stress

Second area moment: composite partParallel axis theorem:

Examples

Second area moment: integration

Solution1. 2. 3.

4.

Shear stress due to bending (12.C, Not in exam)

Shear stress: