০০। A bar l metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is
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খ)
গ)
ঘ)
০১। A bar of square section of area a2 is held such that its one of its diameters is vertical. The maximum shear stress will develop at a depth h where h is
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০২। A body is said to be in equilibrium if
ক) it moves horizontally
খ) it moves vertically
গ) it rotates about its C.G.
ঘ) none of these.
০৩। 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
ক) 2 mm
খ) 3 mm
গ) 4 mm
ঘ) 5 mm
ঙ) 6 mm
০৪। A cantilever of length L is subjected to a bending moment M at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is
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০৫। 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
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০৬। A close coil helical spring when subjected to a moment M having its axis along the axis of the helix
ক) it is subjected to pure bending
খ) its mean diameter will decrease
গ) its number of coils will increase
ঘ) all the above.
০৭। A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised
ক) steel experiences tensile force
খ) brass experiences compressive force
গ) composite beam gets subjected to a couple
ঘ) composite beam bends
ঙ) All the above.
০৮। A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2 and that of brass bar is 3000 mm2. These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm2 and Eb = 0.1 MN/mm2, the stresses developed are:
ক) σb = 10 N/mm2, σs = 20 N/mm2
খ) σb = 8 N/mm2, σs = 16 N/mm2
গ) σb = 6 N/mm2, σs = 12 N/mm2
ঘ) σb = 5 N/mm2, σs = 10 N/mm2
০৯। A compound truss may be formed by connecting two simple rigid frames, by
ক) two bars
খ) three bars
গ) three parallel bars
ঘ) three bars intersecting at a point.
১০। A concentrated load P is supported by the free end of a quadrantal ring AB whose end B is fixed. The ratio of the vertical to horizontal deflections of the end A, is
ক) π
খ)
গ)
ঘ)
১১। A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is
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১২। A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm2 is :
ক) 4.0 mm
খ) 4.5 mm
গ) 5.0 mm
ঘ) 5.5 mm
ঙ) 6.0 mm
১৩। 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
ক) 75 N/m2
খ) 750 N/m2
গ) 7500 N/m2
ঘ) 75000 N/m2
১৪। A material is said to be perfectly elastic if
ক) it regains its original shape on removal of the load
খ) It regains its original shape partially on removal of the load
গ) it does not regain its original shape at all
ঘ) none of these.
১৫। A material may fail if
ক) maximum principal stress exceeds the direct stress σ0
খ) maximum strain exceeds
গ) maximum shear stress exceeds
ঘ) total strain energy exceeds
ঙ) all the above.
১৬। A material which obeys Hook‘s law, is subjected to direct stress σ0. At its elastic limit, the following statement is true,
ক) Strain is equal to
খ) Maximum shear stress =
গ) Strain energy =
ঘ) Shear strain energy =
ঙ) All the above.
১৭। A rectangular column shown in the given figure carries a load P having eccentricities ex and ev along X and Y axes. The stress at any point (x, y) is
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১৮। A road of uniform cross-section A and length L is deformed by δ, when subjected to a normal force P. The Young‘s Modulus E of the material, is
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১৯। 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,