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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

0.707
0.303
0.505
0.404

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

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Theory of Structures
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is

511 N mm
711 N mm
611 N mm
411 N mm

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

8.75 t tensile
t tensile
t compressive
6.25 t compressive

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Theory of Structures
At yield point of a test piece, the material

Regains its original shape on removal of the load
Obeys Hooke’s law
Undergoes plastic deformation
Behaves in an elastic manner

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4WD²n/d4N
4W²D3n/d4N
4W²D3n²/d4N
4W²Dn/d4N

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