A three hinged arch is generally hinged at its supports and at one quarter span

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Question
A three hinged arch is generally hinged at its supports and
Options
A. at one quarter span
B. at the crown
C. any where in the rib
D. none of these.

Correct Answer

any where in the rib

Theory of Structures problems

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1. The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is
Options
A.
B.
C.
D.
E. 1.0

2. is the equation for Euler's crippling load if
Options
A. both the ends are fixed
B. both the ends are hinged
C. one end is fixed and other end is free
D. one end is fixed and other end is hinged.

3. At yield point of a test piece, the material
Options
A. obeys Hooke's law
B. behaves in an elastic manner
C. regains its original shape on removal of the load
D. undergoes plastic deformation.

4. A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is
Options
A. 0.207
B. 0.307
C. 0.407
D. 0.508

5. A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm2. If the slope at the ends is 0.005 radian and the value of E = 0.2 x 10⁶ N/mm², the depth of the joist, is
Options
A. 200 mm
B. 250 mm
C. 300 mm
D. 350 mm
E. 400 mm

7. 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 x 10⁶ N/mm², the deflection of the free end, is
Options
A. 2 mm
B. 3 mm
C. 4 mm
D. 5 mm
E. 6 mm

9. Pick up the correct statement from the following:
Options
A. The bending stress in a section is zero at its neutral axis and maximum at the outer fibres
B. The shear stress is zero at the outer fibres and maximum at the neutral axis
C. The bending stress at the outer fibres, is known as principal stress
D. The planes of principal stresses are inclined at 45� to the neutral plane
E. All the above.

10. If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 x 10⁵ N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm², the angle of twist in radians, is
Options
A. 0.001
B. 0.002
C. 0.0025
D. 0.003
E. 0.005

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