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Theory of Structures

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

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

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

750 N/m²
75000 N/m²
7500 N/m²
75 N/m²

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/18) A
(1/6) A
(1/3) A
(1/12) A

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Theory of Structures
In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/5
L/2
L/4
L/3

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

Wa/2h
2W/ha
Wa/h
2h/Wa

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

4 mm
5 mm
2 mm
3 mm

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