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Theory of Structures
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In plastic analysis, the shape factor for a triangular section, is
2.5
2.34
1.5
1.34
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm2), 4 mm indiameter.
The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is
35 N
25 N
40 N
30 N
A load of 1960 N is raised at the end of a steelwire.
The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm2 is
5.5 mm
6.0 mm
4.5 mm
5.0 mm
4.0 mm
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its freeend.
If the modulus of elasticity of the material is 0.2 x 106 N/mm2, the deflection of the free end, is
4 mm
2 mm
5 mm
6 mm
3 mm
The force in EC of the truss shown in the given figure, is
4t tension
5t compression
Zero
None of these.
5t tension
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 0.002radian.
The length of the joist will be,
10 m
18 m
14 m
12 m
16 m
The greatest load which a spring can carry without getting permanently distorted, is called
Stiffness
proof load.
proof stress
prof resilience
The load on a spring per unit deflection, is called
proof stress
proof load.
proof resilience
Stiffness
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at theircrowns.
The horizontal thrust at their supports will be in the ratio of
2 : 1 1/2 : 1
1 : 1 : 2
None of these.
1 : 1 1/2 : 2
The shape factor of standard rolled beam section varies from
1.40 to 1.50
1.20 to 1.30
1.10 to 1.20
1.30 to 1.40
A shaft subjected to a bending moment M and a torque T, experiences
maximum shear stress =
Both (a) and (b)
maximum bending stress =
Neither (A) Nor (B)
For beams of uniform strength, if depth is constant,
width b ∝ M
width b ∝
width b ∝ 3 M
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is
1
4
2
3
The force in BF of the truss shown in given figure, is
4t tension
4.5t compression
4.5t tension
4t compression
Zero.
A truss containing j joints and m members, will be a simple truss if
j = 3m - 2
m = 3j - 2
m = 2j - 3
j = 2m - 3
The equivalent length of a column of length L, having both the ends hinged, is
2l
L
A material is said to be perfectly elastic if
None of these.
It regains its original shape partially on removal of the load
it regains its original shape on removal of the load
it does not regain its original shape at all
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
350 mm
300 mm
400 mm
200 mm
250 mm
If normal stresses due to longitudinal and transverse loads on a bar are σ1 and σ2 respectively, the normal component of the stress on an inclined plane θ° to the longitudinal load, is
σ1 sin θ x σ2 cos θ
σ1 sin θ2 + σ2 cos2 θ
The ratio of lateral strain to axial strain of a homogeneous material, is known
Poisson's ratio
Hooke's ratio
Plastic ratio.
Yield ratio
Principal planes are subjected to
normal stresses as well as tangential stresses
None of these.
tangential stresses only
normal stresses only
In plastic analysis, the shape factor for rectangular section, is
1.6
1.4
1.7
1.5
The yield moment of a cross section is defined as the moment that will just produce the yield stress in
the neutral fibre of the section
the inner most fibre of the section
the outer most fibre of the section
the fibre everywhere
If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,
M. will be zero throughout
S.F. will be zero throughout
horizontal thrust is wl2/8h
All the above.
In the truss, the force in the member AC is
6.25 t compressive
t tensile
8.75 t tentile
t compressive.
The S.F. diagram of a loaded beam shown in the given figure is that of
a cantilever with an isolated load at the free end
a cantilever with a uniformly distributed load.
a simply supported beam with uniformly distributed load
a simply supported beam with isolated central load
For beams breadth is constant,
depth d ∝
depth d ∝ 3 M
depth d ∝ M
The normal component of a force inclined through θ° is obtained by multiplying the force by
sin θ cos θ
cos θ
tan θ
sin θ
sin²θ
At yield point of a test piece, the material
regains its original shape on removal of the load
behaves in an elastic manner
undergoes plastic deformation.
obeys Hooke's law
The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is
1
2
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