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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?
5 MPa
10 MPa
15 MPa
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?
Steps
Concepts
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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