Question

# Which of the following statements are true about modified stiffness? i. If one end is simply...

Which of the following statements are true about modified stiffness?

i. If one end is simply supported, the modified
stiffness factor for the other end is third-quarter of that member's relative stiffness.

ii. If the one end is symmetrical to the end, then the factor is equal to its relative stiffness.

iii. If the one end is antisymmetrical to the other, then the factor is third-halves of its relative stiffness

iv. If the one end is restrained, the stiffness factor is zero.

A. i, ii, iii
B. iii, iv, i
C. iv, i, ii
D. ii, iii, iv

If one end is simply supported then the modified stiffness factor at other end is 3/4 members relative stiffness , thus statement (I) is true

If one end is symmetric to other end the the modified stiffness factor is either 0.5 times members relative stiffness , thus statement (II) is false

If one end is asymmetric to other end then the factor is 1.5 times the members relative stiffness,thus statement (III) is true

If one end is restrained , then stiffness factor is equal to zero , thus statement (IV) is true

ANSWER IS ____B____ (ie I,III,IV are true)

See image for proper illustration.

Hope this will suffice.

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