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A beam is subjected to a moment of 50 kNm. If the section modulus is 10 cm^3, wh

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Question: A beam is subjected to a moment of 50 kNm. If the section modulus is 10 cm^3, what is the bending stress in the beam?

Options:

  1. 5 MPa
  2. 10 MPa
  3. 15 MPa
  4. 20 MPa

Correct Answer: 10 MPa

Solution: 

Bending stress (σ) is calculated using the formula σ = M/Z, where M is the moment and Z is the section modulus. Here, σ = 50 kNm / 10 cm^3 = 50,000 Nm / 0.00001 m^3 = 5 MPa.

A beam is subjected to a moment of 50 kNm. If the section modulus is 10 cm^3, wh

Practice Questions

Q1
A beam is subjected to a moment of 50 kNm. If the section modulus is 10 cm^3, what is the bending stress in the beam?
  1. 5 MPa
  2. 10 MPa
  3. 15 MPa
  4. 20 MPa

Questions & Step-by-Step Solutions

A beam is subjected to a moment of 50 kNm. If the section modulus is 10 cm^3, what is the bending stress in the beam?
  • Step 1: Understand the formula for bending stress, which is σ = M/Z.
  • Step 2: Identify the values given in the question: M (moment) = 50 kNm and Z (section modulus) = 10 cm^3.
  • Step 3: Convert the moment from kNm to Nm: 50 kNm = 50,000 Nm.
  • Step 4: Convert the section modulus from cm^3 to m^3: 10 cm^3 = 10 / 1,000,000 m^3 = 0.00001 m^3.
  • Step 5: Substitute the values into the formula: σ = 50,000 Nm / 0.00001 m^3.
  • Step 6: Calculate the bending stress: σ = 5,000,000 Pa or 5 MPa.
  • Bending Stress Calculation – Understanding how to calculate bending stress using the moment and section modulus.
  • Units Conversion – Recognizing the importance of consistent units when performing calculations.
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