Concept:
In the theory of bending, certain assumptions are made to simplify analysis of beams.
Step 1: Understanding the assumption.
It states that cross-sections of a beam that are plane before bending remain plane after bending.
Step 2: Name of the assumption.
This is known as Bernoulli's assumption.
Step 3: Importance.
It helps in deriving the bending equation and analyzing stress distribution.
Step 4: Evaluating the options.
- Hooke's Law $\rightarrow$ Stress-strain relation (incorrect)
- Bernoulli's assumption $\rightarrow$ Plane sections remain plane (correct)
- Pascal's Law $\rightarrow$ Fluid pressure law (incorrect)
- Newton's Law $\rightarrow$ Laws of motion (incorrect)
Step 5: Conclusion.
Thus, the assumption is Bernoulli's assumption.