1. Ch 4 – Axial Load (part 1 – sections 4.1 and 4.2 only)
What is:
Stress
Strain
Deformation
Other topics:
Thermal stress, statically indeterminate, stress concentrations.
Figure: 04-00CO

2. Elastomer bearing

3. = 4.1 St. Venant’s Principle: St Venant’s:
Figure: 04-01a
St Venant’s:
Stress profile, sufficiently removed from the local effect of loads will be uniform (i.e. = P/A)
Stress and strain produced by statically equivalent load system will be the same.

4. St. Venant’s Principal:
Figure: UN
Note, def’m of grid uniform at middle, therefore strain and stress will be uniform.

5. 4.2 Elastic Deformation of an Axial Member:
Derive relationship between deformation, d, and Load, P
Figure: 04-02a,b

6. Constant Load and Cross-Sectional Areas
Figure: 04-03
Or, for multiple sections:

7. Example: Multiple sections
Example: Multiple sections. Find total deformation of end A with respect to D. Area = 20 mm2. Material is steel w/ E = 200 GPa = 200 x 109 Pa:
= 100 mm
= 150 mm
= 200 mm
Figure: 04-05a

8. First, solve for internal loads:
Figure: 04-05b

9. How would this answer change if aluminum instead of steel????
Figure: 04-05c
How would this answer change if aluminum instead of steel????

10. Book example 4.1:
Find dA/D
Figure: 04-06aEx4.01

11. Find dC
Figure: 04-07aEx4.02

12. Figure: 04-07bEx4.02

13. Statically indeterminate (you will cover this in 320)
Problem 4.47
Equilibrium
Compatibility