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Theory of Structures

Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.404
0.505
0.303
0.707

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Theory of Structures
In the truss, the force in the member AC is

6.25 t compressive
8.75 t tensile
t compressive
t tensile

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Maximum tensile stress at the section
Depth of the neutral axis
Maximum compressive stress at the section
Depth of the section

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Theory of Structures
For the close coil helical spring of the maximum deflection is

WD3n/d4N
2WD3n/d4N
8WD3n/d4N
4W²D3n/d4N

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Theory of Structures
In plastic analysis, the shape factor for rectangular section, is

1.7
1.6
1.5
1.4

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML²/3EI
ML/2EI
ML²/2EI
ML/EI

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