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Beam A is simply supported at its end and carries UDL of intensity ‘w’ over its entire length. It is made of steel having Young’s Modulus E. Beam B is cantilever and carries a UDL of intensity w/4 over its length. It is made of brass having young’s modulus E/2. The two beams are of the same length and have the same cross-sectional area. If σA and σB denote the maximum bending stresses developed in beams A and B, respectively, then which one of the following is correct?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Beam A is simply supported at its end and carries UDL of intensity ‘w...
Bending stress in a beam is given by
σ = My / I
σ = M / Z
Where Z is section modulus For beams with the same cross section, Z is the same. It is given that the cross sectional area is the same. We cannot infer that Z is same
Since, Z1 and Z2 depends on shape of cross section, hence σA / σB also depends on shape of
cross section.
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Most Upvoted Answer
Beam A is simply supported at its end and carries UDL of intensity ‘w...
Bending stress in a beam is given by
σ = My / I
σ = M / Z
Where Z is section modulus For beams with the same cross section, Z is the same. It is given that the cross sectional area is the same. We cannot infer that Z is same
Since, Z1 and Z2 depends on shape of cross section, hence σA / σB also depends on shape of
cross section.
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Beam A is simply supported at its end and carries UDL of intensity ‘w’ over its entire length. It is made of steel having Young’s Modulus E. Beam B is cantilever and carries a UDL of intensity w/4 over its length. It is made of brass having young’s modulus E/2. The two beams are of the same length and have the same cross-sectional area. If σA and σB denote the maximum bending stresses developed in beams A and B, respectively, then which one of the following is correct?a) b) c) d) Correct answer is option 'D'. Can you explain this answer?
Question Description
Beam A is simply supported at its end and carries UDL of intensity ‘w’ over its entire length. It is made of steel having Young’s Modulus E. Beam B is cantilever and carries a UDL of intensity w/4 over its length. It is made of brass having young’s modulus E/2. The two beams are of the same length and have the same cross-sectional area. If σA and σB denote the maximum bending stresses developed in beams A and B, respectively, then which one of the following is correct?a) b) c) d) Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Beam A is simply supported at its end and carries UDL of intensity ‘w’ over its entire length. It is made of steel having Young’s Modulus E. Beam B is cantilever and carries a UDL of intensity w/4 over its length. It is made of brass having young’s modulus E/2. The two beams are of the same length and have the same cross-sectional area. If σA and σB denote the maximum bending stresses developed in beams A and B, respectively, then which one of the following is correct?a) b) c) d) Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Beam A is simply supported at its end and carries UDL of intensity ‘w’ over its entire length. It is made of steel having Young’s Modulus E. Beam B is cantilever and carries a UDL of intensity w/4 over its length. It is made of brass having young’s modulus E/2. The two beams are of the same length and have the same cross-sectional area. If σA and σB denote the maximum bending stresses developed in beams A and B, respectively, then which one of the following is correct?a) b) c) d) Correct answer is option 'D'. Can you explain this answer?.
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