chapter 4: axial load

7
Chapter 4: Axial Load Chapter Objectives ü Determine the elastic deformation of axially loaded members ü Apply the principle of superposition for total effect of different loading cases ü Deal with compatibility conditions ü Deal with thermal stresses ü Misfit problems

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Page 1: Chapter 4: Axial Load

Chapter 4: Axial Load

Chapter Objectivesü Determine the elastic deformation of axially loaded membersü Apply the principle of superposition for total effect of different

loading casesü Deal with compatibility conditionsü Deal with thermal stressesü Misfit problems

Page 2: Chapter 4: Axial Load

Static Determinate Problems

AB

C

Page 3: Chapter 4: Axial Load

Static Indeterminate Problems

AB

Page 4: Chapter 4: Axial Load

Problems involving temperature changes

Verrazano-Narrows Bridge: Because of thermal expansion of the steel cables, the bridge roadway is 12 feet (3.66 m) lower in summer than in winter

Page 5: Chapter 4: Axial Load

� Rod AC: Tungsten� Rod BD: Magnesium

A

C

B

D

>

The device is used to measure a change in temperature. Rod AC and BD are made of Tungsten and Magnesium respectively. At a given temperature !", the rigid bar CDE is in the horizontal position. Determine an expression for the temperature ! as a function of the vertical displacement of point E, #$.

E

Page 6: Chapter 4: Axial Load

!"!#

$!#

Statically indeterminate problems

Page 7: Chapter 4: Axial Load