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STRUCTURAL ANALYSIS

Structural Analysis
The three moments equation is applicable only when

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

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

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

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

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Structural Analysis
Bending moment at any section in a conjugate beam gives in the actual beam

curvature
bending moment
deflection
slope

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Structural Analysis
The number of independent equations to be satisfied for static equilibrium in a space structure is

9
7
6
8

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