elasticity constants determinate and indeterminate beams bending moment shear force diagrams - Question Bank
1. In drawing shear force and bending moment diagrams, the convention for positive shear force is typically:
2. The moment of inertia of a cross-section is crucial in bending calculations because it relates the applied moment to the resulting curvature and stress.
3. For a beam made of a material with a high Young's Modulus, for the same load and geometry, the deflection will be:
4. The shear stress (τ) in a beam is generally calculated using the formula:
5. The maximum deflection of a simply supported beam of length L with a central point load P is given by:
6. A beam fixed at both ends with a central point load is an example of a:
7. The bending stress (σ) in a beam is given by the formula:
8. For a material where E = 200 GPa and G = 80 GPa, what is the approximate value of Poisson's Ratio?
9. The moment of inertia of a circular cross-section of radius 'r' about its diameter is:
10. Which of the following statements about shear force and bending moment is correct?
11. The degree of indeterminacy of a continuous beam with 'n' supports is typically:
12. In a bending moment diagram, a constant value over a section indicates:
13. The superposition principle can be applied to analyze the deflection of beams when:
14. For a beam with a triangular cross-section loaded such that the neutral axis passes through the centroid, the maximum shear stress occurs at:
15. A beam is considered statically determinate if its reactions and internal forces can be determined solely from the equations of static equilibrium.
16. In the context of bending of beams, the term 'elastic curve' refers to:
17. The relationship E = 3K(1 - 2ν) connects:
18. Which of the following is NOT an elasticity constant?
19. The area under the shear force diagram between two sections of a beam represents the:
20. For a fixed-fixed beam with a central point load, the maximum bending moment occurs:
21. The bending moment diagram for a simply supported beam with a uniformly distributed load is a:
22. The shear force at a section of a beam is equal to the rate of change of bending moment with respect to distance along the beam. This statement is:
23. A beam with Young's Modulus E = 200 GPa and Moment of Inertia I = 10⁻⁵ m⁴ has a bending moment of 50 kNm. What is the radius of curvature?
24. Which theorem is often used to analyze indeterminate structures by considering the potential energy stored in the structure?
25. The maximum shear stress in a circular cross-section beam subjected to shear occurs at:
26. For a continuous beam, the analysis typically requires:
27. The moment of inertia (I) of a beam's cross-section is a measure of its:
28. A beam is considered statically indeterminate if the number of unknown reaction components exceeds the number of available equilibrium equations.
29. In a bending moment diagram, a point of contraflexure occurs where:
30. For a beam with a rectangular cross-section of width 'b' and depth 'd', the moment of inertia (I) about the neutral axis is:
31. The Bulk Modulus (K) is a measure of a material's resistance to:
32. Which of the following elasticity constants is most relevant for analyzing the behavior of a structure under torsion?
33. The deflection of a beam is directly proportional to the cube of its length when subjected to a uniformly distributed load. This statement is:
34. The shear force diagram for a beam under pure bending (no shear) would be:
35. In a propped cantilever beam with a UDL, the bending moment at the fixed support is:
36. The degree of indeterminacy of a propped cantilever beam (fixed at one end, simply supported at the other) is:
37. For a statically indeterminate beam, additional equations are required, which are derived from:
38. A beam that cannot be analyzed by static equilibrium equations alone is termed:
39. The bending moment is maximum where the shear force is:
40. The relationship between the bending moment (M), the Young's Modulus (E), and the moment of inertia (I) of a beam is given by:
41. For a cantilever beam with a uniformly distributed load (UDL) over its entire length, the bending moment diagram is:
42. In a simply supported beam with a concentrated load at the center, the shear force diagram is:
43. The point in a beam's cross-section where the bending stress is zero is called the:
44. If a beam is subjected to bending, the stress distribution across its depth is:
45. For a linearly elastic, isotropic, and homogeneous material, which relationship between elasticity constants is generally true?
46. Poisson's Ratio (ν) is defined as the ratio of:
47. What does the Shear Modulus (G) represent?
48. Which of the following is a measure of a material's resistance to elastic deformation under tensile or compressive stress?