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A rectangular beam of rectangular cross-section 200 mm x 450 mm (effective) is subjected to a factored shear force of 250 kN. The maximum shear resistance of the beam Tcmax = 2.5 MPa. The beam is
  • a)
    safe against sudden failure
  • b)
    can be safe if the factored shear is reduced to 225 kN
  • c)
    can be safe if the factored shear is increases to 225 kN
  • d)
    can be made safe by providing suitable vertical stirrups
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rectangular beam of rectangular cross-section 200 mm x 450 mm (effec...
Not safe in shear. It must be redesigned or made safe by reducing factored shear force to = Tvb.d = 225 kN
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Most Upvoted Answer
A rectangular beam of rectangular cross-section 200 mm x 450 mm (effec...
Analysis:
The given beam is subjected to a factored shear force of 250 kN and the maximum shear resistance of the beam is 2.5 MPa.

Determination of Maximum Factored Shear Force:
The maximum factored shear force that the beam can resist is given by the product of the maximum shear resistance and the cross-sectional area of the beam. Therefore, the maximum factored shear force = Tcmax x Area
Given, Tcmax = 2.5 MPa = 2.5 N/mm^2 = 2.5 x 10^6 N/m^2
Area = 200 mm x 450 mm = 0.2 m x 0.45 m = 0.09 m^2
Maximum factored shear force = 2.5 x 10^6 N/m^2 x 0.09 m^2 = 225 kN

Conclusion:
Since the maximum factored shear force that the beam can resist is 225 kN, which is less than the applied shear force of 250 kN, the beam is not safe against sudden failure. Therefore, to make the beam safe, the factored shear force needs to be reduced to 225 kN (Option B).
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A rectangular beam of rectangular cross-section 200 mm x 450 mm (effective) is subjected to a factored shear force of 250 kN. The maximum shear resistance of the beam Tcmax = 2.5 MPa. The beam isa)safe against sudden failureb)can be safe if the factored shear is reduced to 225 kNc)can be safe if the factored shear is increases to 225 kNd)can be made safe by providing suitable vertical stirrupsCorrect answer is option 'B'. Can you explain this answer?
Question Description
A rectangular beam of rectangular cross-section 200 mm x 450 mm (effective) is subjected to a factored shear force of 250 kN. The maximum shear resistance of the beam Tcmax = 2.5 MPa. The beam isa)safe against sudden failureb)can be safe if the factored shear is reduced to 225 kNc)can be safe if the factored shear is increases to 225 kNd)can be made safe by providing suitable vertical stirrupsCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A rectangular beam of rectangular cross-section 200 mm x 450 mm (effective) is subjected to a factored shear force of 250 kN. The maximum shear resistance of the beam Tcmax = 2.5 MPa. The beam isa)safe against sudden failureb)can be safe if the factored shear is reduced to 225 kNc)can be safe if the factored shear is increases to 225 kNd)can be made safe by providing suitable vertical stirrupsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular beam of rectangular cross-section 200 mm x 450 mm (effective) is subjected to a factored shear force of 250 kN. The maximum shear resistance of the beam Tcmax = 2.5 MPa. The beam isa)safe against sudden failureb)can be safe if the factored shear is reduced to 225 kNc)can be safe if the factored shear is increases to 225 kNd)can be made safe by providing suitable vertical stirrupsCorrect answer is option 'B'. Can you explain this answer?.
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