Solid Mechanic
Chapter Objectives
To determine the deformation of axially loaded members. To determine the support reactions when these reactions cannot be determined solely from the equations of equilibrium. To analyze the effects of thermal stresses.
Copyright © 2011 Pearson Education South Asia Pte Ltd
In-class Activities
1. 2. 3. 4. 5. 6. 7. 8. 9. Reading Quiz Applications Elastic deformation in axially loaded member Principle of superposition Compatibility conditions ‘Force method’ of analysis Thermal Stress Stress Concentration Concept Quiz
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ
1) The stress distributions at different cross sections are different. However, at locations far enough away from the support and the applied load, the stress distribution becomes uniform. This is due to
a) b) c) d) Principle of superposition Inelastic property Poisson’s effect Saint Venant’s Principle
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont.)
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont)
2) The principle of superposition is valid provided that
1. 2. 3. 4. a) b) c) d) The loading is linearly related to the stress or displacement The loading does not significantly change the original geometry of the member The Poisson’s ratio v ≤ 0.45 Young’s Modulus is small a, b and c a, b and d a and b only All
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont)
3) The units of linear coefficient of thermal expansion are
a) b) c) d) per ° C per ° F per ° K (Kelvin) all of them
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont)
4) Stress concentrations become important in design if
a) b) c) the material is brittle the material is ductile but subjected to fatigue loading the material is subjected to fatigue loadings to dynamic loading
d)
All of them
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ
To determine the deformation of axially loaded members. To determine the support reactions when these reactions cannot be determined solely from the equations of equilibrium. To analyze the effects of thermal stresses.
Copyright © 2011 Pearson Education South Asia Pte Ltd
In-class Activities
1. 2. 3. 4. 5. 6. 7. 8. 9. Reading Quiz Applications Elastic deformation in axially loaded member Principle of superposition Compatibility conditions ‘Force method’ of analysis Thermal Stress Stress Concentration Concept Quiz
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ
1) The stress distributions at different cross sections are different. However, at locations far enough away from the support and the applied load, the stress distribution becomes uniform. This is due to
a) b) c) d) Principle of superposition Inelastic property Poisson’s effect Saint Venant’s Principle
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont.)
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont)
2) The principle of superposition is valid provided that
1. 2. 3. 4. a) b) c) d) The loading is linearly related to the stress or displacement The loading does not significantly change the original geometry of the member The Poisson’s ratio v ≤ 0.45 Young’s Modulus is small a, b and c a, b and d a and b only All
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont)
3) The units of linear coefficient of thermal expansion are
a) b) c) d) per ° C per ° F per ° K (Kelvin) all of them
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ (cont)
4) Stress concentrations become important in design if
a) b) c) the material is brittle the material is ductile but subjected to fatigue loading the material is subjected to fatigue loadings to dynamic loading
d)
All of them
Copyright © 2011 Pearson Education South Asia Pte Ltd
READING QUIZ