Step 1: Understanding the Concept:
The theory of simple bending (Euler-Bernoulli Beam Theory) relies on specific kinematic assumptions to simplify the analysis of stress and strain.
Step 2: Detailed Explanation:
1. Bernoulli's assumption: States that a transverse section of a beam which is plane before bending remains plane and perpendicular to the longitudinal axis after bending.
2. This assumption implies that the longitudinal strain varies linearly across the depth of the beam.
3. Hooke's Law relates stress to strain (\(\sigma = E\epsilon\)).
4. Pascal's Law relates to fluid pressure.
Step 3: Final Answer:
The assumption is Bernoulli’s assumption.