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# Structural Analysis (21-40)

Updated: Apr 8, 2020

21.Castigliano's first theorem is applicable only when principle of superposition

is valid

22.Principle of superposition is applicable when deflections are linear functions of

applied forces

23.In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always 1

24.The carryover factor in a prismatic member whose far end is fixed is 1/2

25.The carryover factor in a prismatic member whose far end is hinged is 0

26.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

(3EI)/L

27.The moment required to rotate the near end of a prismatic beam through unit

angle, without translation (the far end being fixed), is given by (4EI)/L

28.If M is the external moment which rotates the near end of a prismatic beam without translation (the far end being fixed), then the moment induced at the far end is M/2 in same direction as M

29. The principle of superposition is not applicable when the material does not obey Hooke's law

30.If the displacement at coordinate i due to unit force at coordinate j is δjj, and

displacement at coordinate j due to unit force at coordinate i is δjj, then according

to Maxwell's Reciprocal theorem, δjj=δjj

31.The ordinates of influence line diagram for bending moment always have the

dimensions of length

32.If one end of a prismatic beam AB with fixed ends is given a transverse displace

ment Δ without any rotation, then the transverse reactions at A or B due to

displacement is where l is span of beam AB and El is flexural rigidity

33.If the sinking of a support of a fixed beam causes the beam to rotate in the clockwise direction, then the moments induced at both the ends of the beam will be in anticlockwise direction and of equal magnitude

34.In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity El is taken as L/EI

35.The degree of static indeterminacy up to which column analogy method can be used is 3

36.The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in the direction in which the deflection is required

37.In the slope deflection equations, the deformations are considered to be caused by bending moment

38.The three moments equation is applicable only when there is no discontinuity such as hinges within the span

39.While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of zero length

40.The Castigliano's second theorem can be used to compute deflections for any type of structure