Theory of Structures - Civil Engineering Questions and Answers

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

$\frac { L } { 2 }$

$\frac { L } { 3 }$

$\frac { L } { 4}$

$\frac { L } { 5 }$

$\frac { L } { 8}$

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Pick up the correct statement from the following:

Hoop strain of the walls of a cylinder due to liquid is $\frac { Pd } { 2 tE}$ [ 1 - $\frac { 1 } { 2 m}$ ]

Longitudinal strain in the walls of a cylinder due to liquid is $\frac { Pd } { 2 tE}$ [ $\frac { 1 } { 2 }$ - $\frac { 1 } { m}$ ]

Volumetric change in the cylinderdue to liquid is $\frac { Pd } { 2 tE}$ [ $\frac { 5} { 2 }$ - $\frac { 2} { m}$ ]

All the above.

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A material may fail if

maximum principal stress exceeds the direct stress σ₀

maximum strain exceeds $\frac { σ0 } { E}$

maximum shear stress exceeds $\frac { σ0 } { 2}$

total strain energy exceeds

$\frac { σ0 ^2} { 2E}$ x volume

all the above.

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A truss containing j joints and m members, will be a simple truss if

m = 2j - 3

j = 2m - 3

m = 3j - 2

j = 3m - 2

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The stiffness of the close coil helical spring is

$\frac { d^2N } { 8D^3n }$

$\frac { d^4N } { 4D^3n }$

$\frac { 4D^4N } { d^4n }$

$\frac { 8D^3N } { d^4n }$

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If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 3k [ 1- $\frac { 2} { m}$ ]

E = 2N [ 1+ $\frac { 1} { m}$ ]

$\frac {3 } { 2 }$ K (1-2/m)= N [ 1+ $\frac { 1} { m}$ ]

all the above.

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The ratio of maximum shear stress to average shear stress of a circular beam, is

$\frac { 2 } { 3}$

$\frac {3 } { 2}$

$\frac {3 } { 4}$

$\frac {4 } {3}$

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.	A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

10 m

12 m

14 m

16 m

18 m

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A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If E_steel = 2 x 10⁶ kg/cm², the side of the rod, is

1 cm

1.5 cm

2 cm

2.5 cm