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STRUCTURAL ANALYSIS

Structural Analysis
The three moments equation is applicable only when

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

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

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

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

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

slope
deflection
curvature
bending moment

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

7
6
9
8

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