AP ECET CIVIL ENGINEERING Multiple Choice Questions (MCQs)

16. Which of the following is NOT an assumption in the theory of simple bending?

• a) The material of the beam is homogeneous and isotropic.
• b) The beam is perfectly straight and has a uniform cross-section.
• c) The beam is subjected to a uniform bending moment.
• d) The transverse shear is negligible compared to bending stress.

17. The bending equation is derived from which of the following assumptions?

• a) Neutral axis remains straight and unstressed.
• b) The material behaves elastically.
• c) Plane sections remain plane after bending.
• d) All of the above.

18. What does the bending stress at a distance 'y' from the neutral axis in a beam depend on?

• a) The bending moment.
• b) The moment of inertia of the section.
• c) The distance from the neutral axis.
• d) All of the above.

19. The formula for bending stress is given by σ = M y / I. What does 'I' represent?

• a) Section modulus.
• b) Moment of inertia of the section.
• c) Bending moment.
• d) Distance from the neutral axis.

20. The section modulus is defined as:

• a) The ratio of bending moment to the bending stress.
• b) The ratio of bending moment to the moment of inertia.
• c) The moment of inertia divided by the distance from the neutral axis.
• d) The distance from the neutral axis divided by the moment of inertia.

21. For a rectangular section, the maximum bending stress occurs at:

• a) The top surface.
• b) The bottom surface.
• c) The neutral axis.
• d) None of the above.

22. Which of the following is true for the shear stress distribution across a rectangular beam section?

• a) The shear stress is maximum at the neutral axis.
• b) The shear stress is zero at the neutral axis and maximum at the surface.
• c) The shear stress is constant across the section.
• d) The shear stress is maximum at the edges of the section.

23. In the bending equation, 'M' represents:

• a) Bending moment at the point of interest.
• b) Bending modulus of the material.
• c) The modulus of resilience.
• d) Moment of inertia of the section.

24. For a circular section, the shear stress distribution is:

• a) Parabolic, with maximum shear stress at the center.
• b) Uniform across the entire section.
• c) Zero at the center and maximum at the surface.
• d) Maximum at the neutral axis.

25. In a bending moment diagram, the maximum bending stress occurs:

• a) At the point where the bending moment is maximum.
• b) At the point where the shear force is maximum.
• c) At the midpoint of the beam.
• d) At the support points.

26. Which of the following is true for the shear stress distribution across an I-section?

• a) Shear stress is uniformly distributed across the section.
• b) Shear stress is maximum at the web and zero at the flanges.
• c) Shear stress is maximum at the flanges and zero at the web.
• d) Shear stress is maximum at the neutral axis.

27. The neutral axis in a beam subjected to bending:

• a) Does not undergo any strain.
• b) Is located at the top of the beam.
• c) Experiences maximum tensile strain.
• d) Experiences maximum compressive strain.

28. In bending, the bending stress at any point is directly proportional to:

• a) The distance from the neutral axis.
• b) The moment of inertia of the section.
• c) The shear force at that point.
• d) The width of the beam.

29. For a T-section, the maximum bending stress will occur at:

• a) The flange of the section.
• b) The web of the section.
• c) The neutral axis.
• d) At the junction of the flange and web.

30. The maximum bending stress in a beam will occur at:

• a) The point of maximum bending moment.
• b) The point of maximum shear force.
• c) The midspan of the beam.
• d) The point closest to the support.