For a beam subjected to a moment, what is the relationship between bending stres

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Question: For a beam subjected to a moment, what is the relationship between bending stress and moment?

Options:

Correct Answer: σ = M/I

Solution:

The bending stress (σ) in a beam is related to the moment (M) and the moment of inertia (I) by the formula σ = M/I.

For a beam subjected to a moment, what is the relationship between bending stress and moment?

For a beam subjected to a moment, what is the relationship between bending stress and moment?

Step 1: Understand that a beam can bend when a force is applied to it, creating a moment (M).
Step 2: Recognize that bending stress (σ) is the internal stress that develops in the beam due to this bending.
Step 3: Learn that the moment of inertia (I) is a property of the beam's cross-section that affects how it resists bending.
Step 4: Know the formula that relates bending stress (σ), moment (M), and moment of inertia (I): σ = M/I.
Step 5: Realize that as the moment (M) increases, the bending stress (σ) also increases if the moment of inertia (I) remains constant.

Bending Stress and Moment Relationship – The bending stress in a beam is directly proportional to the applied moment and inversely proportional to the moment of inertia of the beam's cross-section.