Question:
The compatibility conditions in theory of elasticity ensures
The compatibility conditions in theory of elasticity ensures
Show Hint
Compatibility is a geometric condition for deformation continuity.
Updated On: June 02, 2025
- the compatibility between stress components
- the relationships between stress and strain are consistent with the constitutive relations
- displacements are single valued and continuous
- stresses satisfy the bi-harmonic equation
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Compatibility ensures there are no gaps or overlaps — displacement fields are continuous throughout the material.
Was this answer helpful?
0
0
Top Questions on Strength of Materials
- The most commonly used material in modern construction for making beams and columns is:
- AP PGECET - 2025
- Civil Engineering
- Strength of Materials
- The displacement field of a body is given by \( \vec{u} = yx \hat{i} + yz \hat{j} + (z + x^2) \hat{k} \). The shear strain \( \gamma_{xy} \) at \( (2, 1, 5) \) is:
- GATE NM - 2025
- Applied Mechanics and Structures
- Strength of Materials
A square‑shaped body is subjected to only direct tensile stresses \(\sigma_x\) and \(\sigma_y\) as shown. If \(\sigma_x > \sigma_y\), then the value of normal stress (\(\sigma_{\theta}\)) and shear stress (\(\tau_{\theta}\)) respectively are ________.
- GATE NM - 2025
- Applied Mechanics and Structures
- Strength of Materials
The midship section of a barge of breadth \( W \) and depth \( H \) is shown in the figure. All plate thicknesses are equal. The barge is subjected to a longitudinal bending moment in the upright condition. Which one of the following statements is correct?
- GATE NM - 2025
- Applied Mechanics and Structures
- Strength of Materials
- In the stress-strain curve of mild steel, plastic deformation starts at the ________.
- GATE NM - 2025
- Applied Mechanics and Structures
- Strength of Materials
View More Questions
Questions Asked in TS PGECET exam
- Melting rates of electrodes in manual metal arc welding process is mainly governed by the
- TS PGECET - 2024
- Manufacturing Processes
- The maximum area of a rectangle that can be inscribed in a circle of radius $R$ is
- TS PGECET - 2024
- 3D Geometry
- For the matrix \[ \begin{bmatrix} 2 & 1 & 1 \\ 0 & 2 & 1 \\ 1 & 0 & 1 \end{bmatrix}, \] an Eigen vector among the following vectors is
- TS PGECET - 2024
- Linear Algebra
- Which of the following expression is a tautology?
- TS PGECET - 2024
- Digital Logic
- The 2’s complement representation of the decimal value $-15$ is
- TS PGECET - 2024
- Digital Logic
View More Questions
