AP ECET CIVIL ENGINEERING Multiple Choice Questions (MCQs)
AP ECET Civil Engineering - Theory of Structures: Questions 31-45
31. What is the primary purpose of using the double integration method for deflection analysis in cantilevers and simply supported beams?
a) To calculate the bending moment at different points.
b) To determine the slope and deflection at any point.
c) To find the reaction forces at the supports.
d) To determine the internal shear force in beams.
Answer: b) To determine the slope and deflection at any point.
32. In Macaulay’s method for deflection analysis, what is assumed about the shape of the bending moment diagram?
a) It is constant along the length of the beam.
b) It is linear between loads.
c) It is piecewise linear for a cantilever beam.
d) It is parabolic.
Answer: c) It is piecewise linear for a cantilever beam.
33. According to Mohr’s theorems, the slope at any point in a beam is given by:
a) The integral of the moment-curvature equation.
b) The ratio of the bending moment to the moment of inertia.
c) The product of the applied load and the distance.
d) The rate of change of bending moment along the length of the beam.
Answer: a) The integral of the moment-curvature equation.
34. Which of the following methods is used to calculate the deflection of propped cantilevers subjected to simple loading?
a) Macaulay’s method.
b) Double integration method.
c) Moment-area method.
d) Conjugate beam method.
Answer: b) Double integration method.
35. For a fixed beam subjected to a uniform load, which of the following is true regarding the deflection?
a) The deflection is maximum at the center of the beam.
b) The deflection is zero at the center of the beam.
c) The deflection is maximum at the supports.
d) The deflection is constant along the length.
Answer: b) The deflection is zero at the center of the beam.
36. What is the slenderness ratio of a column?
a) The ratio of the column's length to its radius of gyration.
b) The ratio of the axial load to the buckling strength.
c) The ratio of the column's moment of inertia to its cross-sectional area.
d) The ratio of the column's height to its cross-sectional area.
Answer: a) The ratio of the column's length to its radius of gyration.
37. Euler's formula is used to determine the buckling load of:
a) A cantilever beam.
b) A truss member.
c) A column under axial loading.
d) A fixed beam under bending.
Answer: c) A column under axial loading.
38. Rankine's formula for the axial load on a column accounts for:
a) Only the material strength of the column.
b) Both the slenderness ratio and the material strength.
c) The moment of inertia of the cross-section.
d) The deflection at the free end of the column.
Answer: b) Both the slenderness ratio and the material strength.
39. For statically determinate, plane, and pin-jointed trusses, the forces in the members can be determined using:
a) Virtual work method.
b) Stiffness matrix method.
c) Method of joints.
d) Moment-curvature method.
Answer: c) Method of joints.
40. In a statically determinate truss, if only dead loads are applied, the forces in the members can be determined by:
a) Analyzing the deflection at the supports.
b) Using the method of sections.
c) Using the virtual displacement method.
d) Analyzing the equilibrium of joints.
Answer: d) Analyzing the equilibrium of joints.
41. Which of the following is NOT a type of column or strut?
a) Short column.
b) Slender column.
c) Rigid column.
d) Intermediate column.
Answer: c) Rigid column.
42. The Rankine's formula for active earth pressure is used for determining:
a) The bearing capacity of soils.
b) The forces acting on retaining walls due to soil pressure.
c) The deflection of a cantilever beam.
d) The bending stress in a column.
Answer: b) The forces acting on retaining walls due to soil pressure.
43. The middle-third rule is used to determine:
a) The location of maximum shear stress in a beam.
b) The stability of retaining walls.
c) The position of the neutral axis in a beam.
d) The required thickness of a dam structure.
Answer: b) The stability of retaining walls.
44. The stability of a dam structure is determined by:
a) The size and shape of the base.
b) The material strength and seismic forces.
c) The height and width of the dam.
d) The safety factor and location of the centroid.
Answer: a) The size and shape of the base.
45. In the analysis of a continuous beam under simple loading, the deflection is minimized when:
a) The supports are not fixed.
b) The beam is simply supported at the ends.
c) The beam is fixed at all supports.
d) The beam is propped at the center.
Answer: c) The beam is fixed at all supports.
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