# When a beam is subjected to bending moment alone, the bending stress at any point from the neutral axis

By BYJU'S Exam Prep

Updated on: October 17th, 2023

(a) equal

(b) varies directly proportional with respect to distance from neutral axis

(c) varies inversely proportional with respect to distance from neutral axis

(d) stress is independent of the distance

When a beam is subjected to bending moment alone, the bending stress at any point from the neutral axis varies directly proportional with respect to distance from the neutral axis. The explanation is illustrated below.

### Bending Stress at any Point from the Neutral Axis for a Beam

We know that Bending Equation:

• σ/y = M/I = E/R
• σ = M/I y
• σ ∝ y

Where σ is the bending stress and y is the distance from the neutral axis.

The variation of stress in the simple bending of the beam is linear. From zero at the neutral axis to a maximum at the outside surface, the bending stress varies linearly. In direct proportion to the separation from the neutral axis, the bending stress varies.

Summary:

## When a beam is subjected to bending moment alone, the bending stress at any point from the neutral axis (a) equal (b) varies directly proportional with respect to distance from neutral axis (c) varies inversely proportional with respect to distance from neutral axis (d) stress is independent of the distance

When a beam is subjected to a bending moment, the bending stress from the neutral axis at any point varies proportionally directly with respect to the distance from the neutral axis.

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