Elongation of a bar of uniform cross section of length ‘L’, due to its own weight ‘W’ is given by a. 2WL/E b. WL/E c. WL/2E d. WL/3E Where, E=Young’s modulus of elasticity of material

Elongation of a bar of uniform cross section of length ‘L’, due to its own weight ‘W’ is
given by
a. 2WL/E
b. WL/E
c. WL/2E
d. WL/3E
Where, E=Young’s modulus of elasticity of material
by

1 Answer

Answer :

c. WL/2E
by

Related questions

18.The total extension of a taper rod of length ‘L’ and end diameters ‘D1’ and ‘D2’, subjected to a load (P), is given of a. 4PL/ΠE. D1D2 b. 3PL/ΠE. D1D2 c. 2PL/ΠE. D1D2 d. PL/ΠE.D1D2 Where E=Young’s modulus of elasticity

Description : 18.The total extension of a taper rod of length ‘L’ and end diameters ‘D1’ and ‘D2’, subjected to a load (P), is given of a. 4PL/ΠE. D1D2 b. 3PL/ΠE. D1D2 c. 2PL/ΠE. D1D2 d. PL/ΠE.D1D2 Where E=Young’s modulus of elasticity

Last Answer : a. 4PL/ΠE. D1D2

Young’s Modulus of elasticity is (a)Tensile stress / Tensile strain (b)Shear stress / Shear strain (c)Tensile stress / Shear strain (d)Shear stress / Tensile strain

Description : Young’s Modulus of elasticity is (a)Tensile stress / Tensile strain (b)Shear stress / Shear strain (c)Tensile stress / Shear strain (d)Shear stress / Tensile strain

Last Answer : a)Tensile stress / Tensile strain

Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, under a concentrated load W at its free end, is (A) (2/3) (WL/AG) (B) (1/3) (WL²/EIA) (C) (3/2) (WL/AG)(D) (3/2) (WL²/AG

Description : Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, under a concentrated load W at its free end, is (A) (2/3) (WL/AG) (B) (1/3) (WL²/EIA) (C) (3/2) (WL/AG) (D) (3/2) (WL²/AG

Last Answer : (C) (3/2) (WL/AG

The width of a beam of uniform strength having a constant depth d length L, simply supported at the ends with a central load W is (A) 2WL/3fd² (B) 3WL/2fd² (C) 2fL/3Wd 4 (D) 3fL²/2Wd

Description : The width of a beam of uniform strength having a constant depth d length L, simply supported at the ends with a central load W is (A) 2WL/3fd² (B) 3WL/2fd² (C) 2fL/3Wd 4 (D) 3fL²/2Wd

Last Answer : (B) 3WL/2fd²

In a cantilever subjected to a concentrated load (W) at the free end and having length =l, Maximum bending moment is (a) Wl at the free end (b) Wl at the fixed end (c) Wl/2 at the fixed end (d) Wl at the free end

Description : In a cantilever subjected to a concentrated load (W) at the free end and having length =l, Maximum bending moment is (a) Wl at the free end (b) Wl at the fixed end (c) Wl/2 at the fixed end (d) Wl at the free end

Last Answer : (b) Wl at the fixed end

In a simply supported beam subjected to uniformly distributed load (w) over the entire length (l), total load=W, maximum Bending moment is (a) Wl/8 or wl2/8 at the mid-point (b) Wl/8 or wl2/8 at the end (c) Wl/4 or wl2/4 (d) Wl/2

Description : In a simply supported beam subjected to uniformly distributed load (w) over the entire length (l), total load=W, maximum Bending moment is (a) Wl/8 or wl2/8 at the mid-point (b) Wl/8 or wl2/8 at the end (c) Wl/4 or wl2/4 (d) Wl/2

Last Answer : (a) Wl/8 or wl2/8 at the mid-point

The shear force at the centre of a simply supported beam of span l carrying a uniformly distributed load of w per unit length over the whole span is (a) wl (b) wl/2 (c) wl/4 (d) Zero

Description : The shear force at the centre of a simply supported beam of span l carrying a uniformly distributed load of w per unit length over the whole span is (a) wl (b) wl/2 (c) wl/4 (d) Zero

Last Answer : (d) Zero

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 (A) WL/2AE (B) WL/AE (C) W²L/AE (D) W²L/2AE

Description : 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  (A) WL/2AE (B) WL/AE (C) W²L/AE (D) W²L/2AE

Last Answer : (D) W²L/2AE

The length of a column, having a uniform circular cross-section of 7.5 cm diameter and whose endsare hinged, is 5 m. If the value of E for the material is 2100 tonnes/cm2, the permissible maximumcrippling load will be (a) 1.288 tonnes (b) 12.88 (c) 128.8 tonnes (d) 288.0

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Last Answer : (b) 12.88

The relationship between Young’s modulus (E), Modulus of rigidity (C) and Bulk modulus (K) is given by a. E=9CK/(C+3K) b. E=9CK/(2C+3K) c. E=9CK/(3C+K) d. E=9CK/(C-3K)

Description : The relationship between Young’s modulus (E), Modulus of rigidity (C) and Bulk modulus (K) is given by a. E=9CK/(C+3K) b. E=9CK/(2C+3K) c. E=9CK/(3C+K) d. E=9CK/(C-3K)

Last Answer : a. E=9CK/(C+3K)

The relationship between Young’s modulus (E), Bulk modulus (K) and Poisson’s ratio (μ) is given by a. E=2K(1-2μ) b. E=3K(1-2μ) c. E=2K(1-2μ) d. E=2K(1-3μ)

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Last Answer : b. E=3K(1-2μ)

A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is (A) L/d (B) L/2d (C) (L/2d)² (D) (L/3d)²

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In the relation ( T/J = Gθ/L = τ/ R), the letter G denotes modulus of ______ a. elasticity b. plasticity c. rigidity d. resilience

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If At is the area of steel cross-section, t is working stress, L is width of road and W is weight of slab per square metre, the spacing of the tie bars for a longitudinal joint, is (A) (100 At × t)/WL (B) 100 At/tWL (C) (100 WAt × t)/tL (D) 100 WL/At t

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For a simply supported beam of span L, loaded with U.D.L. w/m over the whole span, the maximum B.M will be (a) wL/4 (b) wL2 /8 (c) wL2 /4 (d) WwL2 /2

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A leaf spring consists of 3 extra full length leaves and 14 graduated length leaves. The maximum force that can act on the spring is 70kN and the distance between eyes of the spring is 1.2m. Width and thickness of the leaves are 100mm and 12mm respectively. If modulus of elasticity is 207000N/mm², calculate the initial nip. (a) 26.8mm (b) 24.9mm (c) 22.5mm (d)23.1mm

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Last Answer : b) 24.9mm

A rod 3 m long is heated from 10°C to 90°C. Find the expansion of rod. Take Young’s modulus = 1.0 x 10^5 MN/m2 and coefficient of thermal expansion = 0.000012 per degree centigrade. 1. 0.168 cm 2. 0.208 cm 3. 0.288 cm 4. 0.348 cm

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Strain energy of a member may be equated to (A) Average resistance × displacement (B) ½ stress × strain × area of its cross-section (C) ½ stress × strain × volume of the member (D) ½ (stress)2 × volume of the member + Young's modulus E

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The pressure’of a gas in terms of its mean kinetic energy per unit volume E is equal to  (a) E/3  (b) E/2  (c) 3E/4  (d)2E/3  (e) 5E/4.

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Last Answer : Answer : d

Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation (A) P = ²EI/l² (B) P = /EI (C) P = /l² (D) P = ²EI/l

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The ductility of metal is usually expressed in terms of the: A. Yield strength (point where the material is not longer elastic) B. Percent elongation C. Modulus of elasticity (stiffness of the material)

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A standard steel tape of length 30 m and cross-section 15 × 1.0 mm was standardised at 25°C and at 30 kg pull. While measuring a base line at the same temperature, the pull applied was 40 kg. If the modulus of elasticity of steel tape is 2.2 × 106 kg/cm2 , the correction to be applied is (A) - 0.000909 m (B) + 0.0909 m (C) 0.000909 m (D) None of these

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The length of a wire is increased by 1 mm on the application of a certain load. In a wire of the same material but of twice the length and half the radius, the same force will produce an elongation of (a) 0.5 mm (b) 2 mm (c) 4 mm (d) 8 mm

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The ratio of lateral strain to linear strain is called (a) Modulus of Elasticity (b) Modulus of Rigidity (c) Bulk Modulus (d) Poisson’s Ratio

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Bulk modulus of elasticity is a. Tensile stress / Tensile strain b. Shear stress / Shear strain c. Tensile stress / Shear strain d. Normal stress on each face of cube / Volumetric strain

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Pick up the correct assumption of the theory of simple bending (A) The value of the Young's modulus is the same in tension as well as in compression (B) Transverse section of a beam remains plane before and after bending (C) The material of the beam is homogeneous and isotropic (D) All the above

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What is the SI unit of Young’s modulus of elasticity? -Do You Know?

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What is the SI unit of Young’s modulus of elasticity?

Description : What is the SI unit of Young’s modulus of elasticity?

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The Young's modulus of elasticity of steel, is (A) 150 KN/mm2 (B) 200 KN/mm2 (C) 250 KN/mm2 (D) 275 KN/mm

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The ratio of stress to volumetric strain is called a) Shear Modulus b) Young’s Modulus c) Bulk Modulus d) Modulus of elasticity

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The property of a material by which it can be drawn to a smaller section by applying a tensile load is called (a) Elasticity (b) Plasticity (c) Ductility (d) Malleability

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A beam of uniform strength has a. same cross-section throughout the beam b. same bending stress at every section c. same bending moment at every section d. same shear stress at every section

Description : A beam of uniform strength has a. same cross-section throughout the beam b. same bending stress at every section c. same bending moment at every section d. same shear stress at every section

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The Modulus of Elasticity for a material refers to: w) the ability of a material to resist corrosion x) the ratio of stress over strain y) the maximum load over the cross sectional area z) none of the above

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A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

Description : A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

Last Answer : A 0.144

A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550

Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550

Last Answer : A. 575

A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112

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A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41

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Last Answer : d) 41

A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. a) 575 b) 625 c) 525 d) 550

Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. a) 575 b) 625 c) 525 d) 550

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A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m2. Calculate the static deflection in nm. a) 0.001 b) 0.083c) 1.022 d) 0.065

Description : A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m2. Calculate the static deflection in nm. a) 0.001 b) 0.083c) 1.022 d) 0.065

Last Answer : a) 0.001

While Young's modulus ‘E’ relates to change in length and bulk modulus ‘K’ relates to change in volume, modulus of rigidity ‘G’ relates to change in: A. weight B. density C. shape D. temperature

Description : While Young's modulus ‘E’ relates to change in length and bulk modulus ‘K’ relates to change in volume, modulus of rigidity ‘G’ relates to change in: A. weight B. density C. shape D. temperature

Last Answer : . shape

If the length of a wall on either side of a lintel opening is at least half of its effective span L, the load W carried by the lintel is equivalent to the weight of brickwork contained in an equilateral triangle, producing a maximum bending moment (A) WL/2 (B) WL/4 (C) WL/6 (D) WL/8

Description : If the length of a wall on either side of a lintel opening is at least half of its effective span L, the load W carried by the lintel is equivalent to the weight of brickwork contained in an equilateral triangle, producing a maximum bending moment (A) WL/2 (B) WL/4 (C) WL/6 (D) WL/8

Last Answer : Answer: Option C

Deflection of a simply supported beam when subjected to central point load is given as ________ a. (Wl /16 EI) b. (Wl2/16 EI) c. (Wl3/48 EI) d. (5Wl4/ 384EI)

Description : Deflection of a simply supported beam when subjected to central point load is given as ________ a. (Wl /16 EI) b. (Wl2/16 EI) c. (Wl3/48 EI) d. (5Wl4/ 384EI)

Last Answer : c. (Wl3/48 EI)

A shaft of length L is subject to a constant twisting moment T along its length L, then angle q through which one end of the bar will twist relative to other will be (a) T/g (b) T/GJ (c) GJ/TL (d) TL/GJ

Description : A shaft of length L is subject to a constant twisting moment T along its length L, then angle q through which one end of the bar will twist relative to other will be (a) T/g (b) T/GJ (c) GJ/TL (d) TL/GJ

Last Answer : (d) TL/GJ