Which of the following statements about determinate structures is correct?
Answer: A
A determinate structure has exactly as many unknowns as equilibrium equations, allowing unique solution without material properties.
Q.2Medium
What is the degree of static indeterminacy for a fixed beam with one internal hinge?
Answer: B
Fixed beam has 3 reaction components. One internal hinge provides 1 additional equation (BM = 0). DI = 3 - 1 = 2
Q.3Easy
In the method of sections for truss analysis, the section should pass through maximum how many members?
Answer: B
Section should pass through maximum 3 members to solve for unknowns using 3 equilibrium equations (ΣFx, ΣFy, ΣM).
Q.4Easy
For a cantilever beam of length L carrying uniformly distributed load w, the maximum bending moment occurs at:
Answer: C
For cantilever, maximum BM = wL²/2 occurs at fixed end where slope and deflection are also maximum.
Q.5Medium
In influence line diagram, what does the ordinate represent?
Answer: B
Ordinate in influence line = coefficient showing magnitude of response at a fixed section per unit moving load.
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Q.6Medium
The principle of virtual work states that for equilibrium of a structure:
Answer: B
Principle of virtual work: For equilibrium, ΣδW = 0. Sum of virtual work by internal and external forces must be zero.
Q.7Medium
For a propped cantilever beam, the number of reactions is:
Answer: C
Propped cantilever has: fixed end (3 reactions: vertical, horizontal, moment) + prop reaction (1) = 4 total reactions.
Q.8Easy
In slope deflection method, what does the term 'FEM' represent?
Answer: A
FEM (Fixed End Moment) are moments developed in a member if both ends are fixed against rotation.
Q.9Medium
For a two-span continuous beam with equal spans and equal loads, which statement is true?
Answer: A
For symmetric loading and equal spans, interior support moments are equal due to symmetry of structure and loading.
Q.10Hard
In matrix method of structural analysis, the stiffness matrix [K] is:
Answer: C
Stiffness matrix [K] is symmetric (reciprocal theorem) and positive definite for stable structures without rigid body movements.
Q.11Hard
A frame with 'j' joints, 'm' members, and 'r' reaction components is indeterminate with degree:
Answer: A
For planar frames: DI = (m + r) - 2j, where 2j accounts for 2 equilibrium equations per joint in 2D.
Q.12Hard
The Castigliano's first theorem relates:
Answer: C
Castigliano's first theorem: ∂U/∂P = δ, where U is strain energy and δ is deflection at point of load P.
Q.13Medium
For a three-hinged arch, the number of independent equilibrium equations needed is:
Answer: C
Three-hinged arch has 4 reaction components (2 at each support). Three hinges provide 3 moment equations. Total 4 independent equations.
Q.14Hard
In Williot-Mohr diagram for a truss, what do the lines represent?
Answer: B
Williot-Mohr diagram graphically represents the deflected shape showing displaced position of all joints in a truss.
Q.15Hard
A simply supported beam with central point load shows maximum deflection at:
Answer: C
For SS beam with central load, maximum deflection occurs at x = L/√3 ≈ 0.577L from support, not at center due to boundary conditions.
Q.16Medium
The concept of 'release' in indeterminate structures means:
Answer: B
Release means removing redundant constraints/reactions to convert indeterminate structure into determinate one for analysis.
Q.17Medium
For a fixed-fixed beam of length L with uniformly distributed load w, the fixed end moment is:
Answer: A
For fixed-fixed beam with UDL, FEM = wL²/12 at both ends (opposite in direction for equilibrium).
Q.18Medium
In portal frame analysis, if a frame is subjected to lateral load, the type of bending is primarily:
Answer: B
Portal frames under lateral load experience combined bending and axial forces in columns and beams, not simple bending.
Q.19Easy
A cantilever beam of length 5 m carries a point load of 20 kN at the free end. The maximum bending moment occurs at which location?
Answer: A
For a cantilever beam, maximum bending moment always occurs at the fixed support where the reaction moment is maximum. BM = W × L = 20 × 5 = 100 kN-m at fixed end.
Q.20Easy
In the method of virtual work, a virtual displacement is applied to determine which quantity?
Answer: B
Virtual work method applies imaginary (virtual) displacements to calculate real deflections and support reactions in statically determinate and indeterminate structures.
