## Question

Download Solution PDF# If M, I, R, E, F and Y are the bending moment, moment of inertia, radius of curvature, modulus of elasticity, stress and the depth of neutral axis at section, then

## Answer (Detailed Solution Below)

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## Detailed Solution

Download Solution PDF__Explanation:__

**The equation for simple bending is given by:**

\(\frac{M}{I} = \frac{σ}{Y} = \frac{E}{R}\)

where I = Moment of Inertia, E = Modulus of Elasticity, σ = Stress at any fiber at a distance of y from the neutral axis,

M = Bending moment and R = Radius of curvature.

__Additional Information__

Following are the assumptions made in the theory of Simple Bending:

- The material of the beam is homogenous and isotropic.
- The beam is initially straight, and all the longitudinal fibers bend in circular arcs with a common center of curvature.
- Members have symmetric cross-sections and are subjected to bending in the plane of symmetry.
- The beam is subjected to pure bending and the effect of shear is neglected.
- Plane sections through a beam, taken normal to the axis of the beam remain plane after the beam is subjected to bending.
- The radius of curvature is large as compared to the dimensions of the beam.

Last updated on Aug 14, 2024

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