All Free Civil Engineering MCQs with Answers

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631 questions · page 21 of 32

  • A. 0.50
  • B. 0.70
  • C. 1.00
  • D. 2.00

Explanation: A fixed-pinned column has an effective length factor of approximately 0.70, more precisely about 0.699.

Correct answer: 0.70
  • A. One quarter
  • B. One half
  • C. One third
  • D. Two thirds

Explanation: When a moment is applied at one end of a prismatic member whose far end is fixed, half of the applied balancing moment is carried over to…

Correct answer: One half
  • A. A unit temperature rise at the support
  • B. A uniformly distributed load over the member
  • C. A unit displacement in the positive response direction
  • D. A full-span concentrated load

Explanation: The influence line is proportional to the deflected shape produced when the restraint associated with the response is released and a unit…

Correct answer: A unit displacement in the positive response direction
  • A. Joint rotations only
  • B. Member stiffness coefficients
  • C. Nodal coordinates only
  • D. Redundant forces

Explanation: The flexibility method selects the redundant forces as the primary unknowns and uses compatibility equations to determine them.

Correct answer: Redundant forces
  • A. It changes the displacement but not the internal force system
  • B. It creates an extra axial force
  • C. It creates an extra bending moment
  • D. It changes the material modulus

Explanation: A statically determinate structure can adjust to support settlement without developing force changes caused by compatibility restrictions.

Correct answer: It changes the displacement but not the internal force system
  • A. It uses equilibrium only and ignores compatibility
  • B. It treats nodal displacements as primary unknowns
  • C. It determines member forces without nodal displacements
  • D. It applies only to statically determinate structures

Explanation: The stiffness method formulates relationships between nodal displacements and nodal forces, then solves for the unknown joint translations…

Correct answer: It treats nodal displacements as primary unknowns
  • A. Zero
  • B. Two
  • C. One
  • D. Three

Explanation: A propped cantilever has four external reaction components, while planar equilibrium supplies only three independent equations.

Correct answer: One
  • A. wL²/24
  • B. wL²/2
  • C. wL²/8
  • D. wL²/12

Explanation: The fixed-end moments for a full-span uniform load are equal in magnitude to wL²/12 and are hogging at both supports.

Correct answer: wL²/12
  • A. The deflection of the real beam
  • B. The slope of the real beam
  • C. The shear force in the real beam
  • D. The curvature of the real beam

Explanation: For a correctly formed conjugate beam, its shear represents the slope of the real beam and its bending moment represents the deflection.

Correct answer: The deflection of the real beam
  • A. Support reaction
  • B. Displacement
  • C. Bending stress
  • D. Section modulus

Explanation: Differentiating total strain energy with respect to a load gives the displacement in the direction of that load.

Correct answer: Displacement
  • A. Stress at point B due to a load at point A
  • B. Reaction at point A due to a load at point B
  • C. Displacement at point B due to a load at point A
  • D. Curvature at point B due to a load at point A

Explanation: The theorem makes the cross-displacements interchangeable when the structure is linear elastic and the loading is compatible with small…

Correct answer: Displacement at point B due to a load at point A
  • A. Single-span simply supported beams
  • B. Pin-jointed plane trusses
  • C. Short compression members
  • D. Continuous beams over several supports

Explanation: The theorem relates the support moments at three consecutive supports of a continuous beam.

Correct answer: Continuous beams over several supports
  • A. π²EI/L²
  • B. 2π²EI/L²
  • C. π²EI/(2L)²
  • D. 4π²EI/L²

Explanation: Both ends are pinned, so the effective length equals the actual length L.

Correct answer: π²EI/L²
  • A. Member loads and support reactions
  • B. Joint rotations and translations
  • C. Cross-sectional areas and inertias
  • D. Shear stresses and strains

Explanation: The slope-deflection method expresses member end moments in terms of joint rotations, joint translations, and fixed-end effects.

Correct answer: Joint rotations and translations
  • A. Equilibrium alone
  • B. Material density only
  • C. Compatibility of deformation
  • D. The member's unloaded weight

Explanation: In an indeterminate structure, support movement may be incompatible with the undeformed geometry unless members develop additional forces.

Correct answer: Compatibility of deformation
  • A. A rectangle over the entire span
  • B. A constant line at the support reaction
  • C. A parabola with zero end ordinates
  • D. A triangle with a peak at the section

Explanation: The bending moment at a fixed interior section varies linearly as the load moves on either side of that section.

Correct answer: A triangle with a peak at the section
  • A. The noncollinear member carries zero force
  • B. The collinear members carry equal compression
  • C. All three members carry equal force
  • D. The noncollinear member carries maximum force

Explanation: The noncollinear member is a zero force member because equilibrium at the joint cannot balance a force in its direction when no external…

Correct answer: The noncollinear member carries zero force
  • A. sum of member lengths at the joint
  • B. sum of stiffnesses of members at the joint
  • C. carry over factor of the joint
  • D. fixed end moment at the joint

Explanation: The distribution factor allocates the unbalanced joint moment in proportion to member stiffness.

Correct answer: sum of stiffnesses of members at the joint
  • A. Sum of V v divided by GA
  • B. Sum of M m L divided by EI
  • C. Sum of N n L divided by AE
  • D. Sum of P L cubed divided by EI

Explanation: For a truss, members primarily deform axially, so the unit load expression is the sum of N n L divided by AE.

Correct answer: Sum of N n L divided by AE
  • A. prevents all horizontal movement
  • B. makes the arch behave as a beam
  • C. eliminates the vertical reactions
  • D. provides an additional equilibrium condition

Explanation: The zero moment condition at the crown hinge supplies an additional equation, allowing the reactions to be found from equilibrium alone.

Correct answer: provides an additional equilibrium condition