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# Structural Analysis MCQ Quiz Test 02 Q21-40 Civil Engineering

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#### Principle of superposition is applicable when

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The principle of superposition may be stated as the deflection at a given point in a structure produced by several loads acting simultaneously on the structure can be found by superposing deflections at the same point produced by loads acting individually.

#### In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always

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Moment distribution method is a structural analysis method for statically indeterminate beams and frames developed by Hardy Cross. The method only accounts for flexural effects and ignores axial and shear effects

#### The carryover factor in a prismatic member whose far end is fixed is

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Carry over factor: - It is a moment developed at the far end due to the unit rotation at the near end (Sign of applied and developed moment is same). COF = Carry over moment / Moment at near end COF = Developed moment (far end) /Applied moment (near end) 1. Far end fixed, then COF = ½ 2. Far end hinged, then COF = 0

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#### The moment required to rotate the near end of a prismatic beam through a unit angle without translation, the far end being simply supported, is given by

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1. Far end fixed, K = 4EI/L 2. Far end hinged, K = 3EI/L

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#### If the displacement at coordinate i due to unit force at coordinate j is δij, and displacement at coordinate j due to unit force at coordinate i is δji, then according to Maxwell’s Reciprocal theorem,

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Maxwell's reciprocal theoremstate that in a linearly elastic structure, the deflection at any point A due to a load applied at some other point B will be equal to the deflection at B when the same load is applied at A

#### The ordinates of influence line diagram for bending moment always have the dimensions of

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An influence line for any given point or section of structure is a curve whose ordinates represent to scale the variation of a function such as shear force, bending moment, deflection etc at a point or section, as the unit load moves across the structure.

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#### The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in

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The method of virtual work, or sometimes referred to as the unitload method. Applying a unit load at the point in the direction of which a displacement needs to be calculated.

#### In the slope deflection equations, the deformations are considered to be caused by i) Bending moment ii) Shear force iii) Axial force The correct answer is

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Slope deflection equation give the relationship between bending moment acting on a structures member and displacement of the member at its ends. Mab = Mfab+2EI/L (2θa+θb-3Δ/L)...... Mba = Mfba+2EI/L (2θb+θa-3Δ/L)

#### The three moments equation is applicable only when

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A prismatic beam is simply a beam in which there is a uniform cross section throughout. Three moment equation relates moments at three successive (no discontinuity) supports to applied loading on adjacent spans. Fixed end is replaced by an additional span of zero length.

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#### The Castigliano’s second theorem can be used to compute deflections

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Castigliano's second theorem: The first partial derivative of the total internal energy in a structure with respect to the force applied at any point is equal to the deflection at the point of application of that force in the direction of its line of action.