In the slope-deflection method, the deformations are considered due to
- ABending moment onlyCorrect
- BBending moment and Shear force
- CShear Force and Axial force
- DBending moment, Shear force and Axial force
Solution
Concept
The slope-deflection method considers only bending deformations while ignoring axial and shear deformations.
Step-by-step solution
1. Understand the assumptions made in the formulation of the slope-deflection method. 2. In standard matrix and displacement methods (like slope-deflection), joints undergo rotations and translations. 3. The internal work and strain energy expressions only account for flexural (bending) strain energy, neglecting axial and shear strain energy. 4. Therefore, deformations are considered due to bending moment only.
Explanation
In classical structural analysis methods like the slope-deflection method and moment distribution method, deformations are primarily assumed to be due to bending moments. The effects of axial forces and shear forces on deformations are neglected for simplicity and because their contribution is usually negligible in typical frame structures.
Why the other options are wrong
B: Shear force deformations are neglected in standard slope-deflection. C: Axial and shear forces are neglected. D: Axial and shear force deformations are not included in classical slope-deflection formulations.
Shortcut
Remember 'BM only' for classical stiffness/slope-deflection methods unless explicitly stated otherwise (like in advanced matrix methods considering axial deformation).
Common mistake
Assuming all internal forces contribute to joint displacements in standard slope-deflection equations.
Correct answer: A) Bending moment only