Consider the following regarding the general situations in linear elasticity : 1. The stress field is a function of only the boundary conditions, geometric shape and loading which are constant. 2. The stress field is a function of material properties like volume and deviatoric stiffness as well. 3. The loads are time independent. Which of the above statements are correct ?
- A1, 2 and 3
- B1 and 3 onlyCorrect
- C1 and 2 only
- D2 and 3 only
Solution
Concept
Stress field in linear elastic problems
Step-by-step solution
1. In many linear elastic problems with traction boundary conditions the stresses depend only on the geometry and loading (true). 2. The stress field is generally independent of material stiffness in such problems, so statement 2 is rejected. 3. Static elasticity assumes time-independent loads (true).
Explanation
In a traction-loaded linear elastic body the equilibrium and compatibility equations do not involve the elastic constants, so the stress is independent of material properties.
Why the other options are wrong
Options with statement 2 are rejected.
Shortcut
Stress field: geometry + loads (+ BC), not modulus.
Correct answer: B) 1 and 3 only