The Castigliano's first theorem relates:

The correct answer is C: Partial derivative of strain energy to load equals deflection. Castigliano's first theorem: ∂U/∂P = δ, where U is strain energy and δ is deflection at point of load P.

For a two-span continuous beam with equal spans and equal loads, which statement is true?

The correct answer is A: Support moments are equal at both interior supports. For symmetric loading and equal spans, interior support moments are equal due to symmetry of structure and loading.

A continuous beam with three equal spans of 6 m each carries a uniform load of 10 kN/m. Using moment distribution method, which span experiences maximum bending moment?

The correct answer is B: Middle span. For continuous beams with equal spans and uniform loading, the middle span typically experiences larger negative moments at supports and larger positive moments due to symmetry considerations.

In the method of sections for truss analysis, the section should pass through maximum how many members?

The correct answer is B: 3 members. Section should pass through maximum 3 members to solve for unknowns using 3 equilibrium equations (ΣFx, ΣFy, ΣM).

In a hinged support, the number of restraints and unknown reactions are:

The correct answer is A: 2 restraints, 2 reactions. A hinged/pin support prevents translation in both horizontal and vertical directions (2 restraints), thus has 2 unknown reactions (Hx and Vy). Rotation is free.

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Civil Engineering

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53 Q 2 Topics Take Mock Test

Difficulty: All Easy Medium Hard 51–53 of 53

Topics in Civil Engineering

All Structural Analysis 92 Concrete Technology 19

Q.51 Medium Structural Analysis

The principle of virtual work states that for equilibrium of a structure:

A External work equals strain energy

B Sum of virtual work by all forces is zero

C Kinetic energy equals potential energy

D Deformation is maximum

Correct Answer: B. Sum of virtual work by all forces is zero

EXPLANATION

Principle of virtual work: For equilibrium, ΣδW = 0. Sum of virtual work by internal and external forces must be zero.

Test

Q.52 Medium Structural Analysis

In influence line diagram, what does the ordinate represent?

A Actual internal force value

B Coefficient of influence for unit load

C Deflection of structure

D Stress at section

Correct Answer: B. Coefficient of influence for unit load

EXPLANATION

Ordinate in influence line = coefficient showing magnitude of response at a fixed section per unit moving load.

Test

Q.53 Medium Structural Analysis

What is the degree of static indeterminacy for a fixed beam with one internal hinge?

A 1

B 2

C 3

D 4

Correct Answer: B. 2

EXPLANATION

Fixed beam has 3 reaction components. One internal hinge provides 1 additional equation (BM = 0). DI = 3 - 1 = 2

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