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Structural Analysis

Structural Analysis
The width of the analogous column in the method of column analogy is

1/EI
2/EI
1/4 EI
1/2 EI

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Structural Analysis
If in a rigid-jointed space frame, (6m + r) < 6j, then the frame is

Stable and statically indeterminate
None of these
Unstable
Stable and statically determinate

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Structural Analysis
If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by

m + r – 2j
m + r – 3j
m + r + 2j
m – r + 2j

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Structural Analysis
A rigid-jointed plane frame is stable and statically determinate if (where m is number of members, r is reaction components and j is number of joints)

(m + r) = 3j
(m + 3r) = 3j
(m + r) = 2j
(3m + r) = 3j

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Structural Analysis
The Castigliano's second theorem can be used to compute deflections

For beams and frames only
At the point under the load only
For any type of structure
In statically determinate structures only

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Structural Analysis
The three moments equation is applicable only when

There is no discontinuity such as hinges within the span
The spans are equal
The beam is prismatic
There is no settlement of supports

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