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 (A) 4WD²n/d 4N (B) 4W²Dn/d 4N (C) 4W²D3n/d 4N (D) 4W²D3n²/d 4N

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 

(A) 4WD²n/d

4N

(B) 4W²Dn/d

4N

(C) 4W²D3n/d

4N

(D) 4W²D3n²/d

4N

by

1 Answer

Answer :

(C) 4W²D3n/d

4N

by

Related questions

For the close coil helical spring of the maximum deflection is (A) WD3n/d 4N (B) 2WD3n/d 4N (C) 4W²D3n/d 4N (D) 8WD3n/d 4N

Description : For the close coil helical spring of the maximum deflection is  (A) WD3n/d 4N (B) 2WD3n/d 4N (C) 4W²D3n/d 4N (D) 8WD3n/d 4N

Last Answer : (D) 8WD3n/d 4N

A close coil helical spring when subjected to a moment M having its axis along the axis of the helix (A) It is subjected to pure bending (B) Its mean diameter will decrease (C) Its number of coils will increase (D) All the above

Description : A close coil helical spring when subjected to a moment M having its axis along the axis of the helix  (A) It is subjected to pure bending  (B) Its mean diameter will decrease  (C) Its number of coils will increase  (D) All the above 

Last Answer : (A) It is subjected to pure bending 

A closely coiled helical spring of radius R, contains n turns and is subjected to an axial load W. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the deflection of the coil is (A) WR3n/Cr4 (B) 2WR3n/Cr4 (C) 3WR3n/Cr4 (D) 4WR3n/Cr

Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial load W. If  the radius of the coil wire is r and modulus of rigidity of the coil material is C, the deflection of the  coil is  (A) WR3n/Cr4 (B) 2WR3n/Cr4 (C) 3WR3n/Cr4 (D) 4WR3n/Cr

Last Answer : (D) 4WR3n/Cr

The stiffness of the close coil helical spring is (A) d 4N/8D 3n (B) d 4N/4D 3n (C) 4D 3N/d 4n (D) 8D 3N/d 4n

Description : The stiffness of the close coil helical spring is  (A) d 4N/8D 3n (B) d 4N/4D 3n (C) 4D 3N/d 4n (D) 8D 3N/d 4n

Last Answer : (A) d 4N/8D 3n

A closely coiled helical spring of radius R, contains n turns and is subjected to an axial loadW. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the stress developed in the helical spring is (A) WR/ 3 (B) 2WR/ 3 (C) 2WR/ 2 (D) 4WR/ 2

Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial loadW. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the stress developed in the helical spring is (A) WR/ 3 (B) 2WR/ 3 (C) 2WR/ 2 (D) 4WR/ 2

Last Answer : (B) 2WR/ 3

The close-coiled helical springs ‘A’ and ‘B’ are of same material, same coil diameter, same wire diameter and subjected to same load. If the number of turns of spring ‘A’ is half that of spring ‘B’, the ratio of deflection of spring ‘A’ to spring ‘B’ is (a)1/2 (b) 1 (c) 2 (d) 4

Description : The close-coiled helical springs ‘A’ and ‘B’ are of same material, same coil diameter, same wire diameter and subjected to same load. If the number of turns of spring ‘A’ is half that of spring ‘B’, the ratio of deflection of spring ‘A’ to spring ‘B’ is (a)1/2 (b) 1 (c) 2 (d) 4

Last Answer : (a)1/2

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. Calculate the initial pre load required to close the nip. (a) 4332.2N (b) 4674.1N (c) 4985.4N (d) Can’t be determined

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Last Answer : (b) 4674.1N

When a close-coiled helical spring is subjected to an axial load, it is said to be under. (a) Bending (b) Shear (c) Torsion (d) Crushing

Description : When a close-coiled helical spring is subjected to an axial load, it is said to be under. (a) Bending (b) Shear (c) Torsion (d) Crushing

Last Answer : (c) Torsion

Determine number of coils in a helical compression spring, if modulus of rigidity is 80 Gpa and spring stiffness is 50 N/ mm. Assume wire diameter and spring index as 8 mm and 5 respectively a. 11.8 turns b. 12.8 turns c. 13.3 turns d. None of the above

Description : Determine number of coils in a helical compression spring, if modulus of rigidity is 80 Gpa and spring stiffness is 50 N/ mm. Assume wire diameter and spring index as 8 mm and 5 respectively a. 11.8 turns b. 12.8 turns c. 13.3 turns d. None of the above

Last Answer : b. 12.8 turns

Pick out the wrong statement. (A) The equivalent stiffness of two springs (of equal stiffness 'S') in series is S/2 while in parallel is 2S (B) For a helical spring, deflection is proportional to D3(D = mean coil diameter) or d4(d = wire diameter) (C) Crushing load or columns is less than the buckling load (D) Modulus of resilience is proportional to (stress at elastic limit)2

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Last Answer : (C) Crushing load or columns is less than the buckling load

A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is (A) 411 N mm (B) 511 N mm (C) 611 N mm (D) 711 N mm

Description : A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a  load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending  strain energy stored in the ... (A) 411 N mm  (B) 511 N mm  (C) 611 N mm  (D) 711 N mm 

Last Answer : (C) 611 N mm 

When two concentric springs are made of same material, having same free length and compressed equally by axial load, then the load shared by each spring is proportional to (A) Spring index of each spring (B) Wire diameter of each spring (C) Mean coil diameter of each spring (D) Square of wire diameter of each spring

Description : When two concentric springs are made of same material, having same free length and compressed equally by axial load, then the load shared by each spring is proportional to (A) Spring index of each spring ... spring (C) Mean coil diameter of each spring (D) Square of wire diameter of each spring

Last Answer : (D) Square of wire diameter of each spring

A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm2 ), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is (A) 25 N (B) 30 N (C) 35 N (D) 40 N

Description : A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm2 ), 4 mm in  diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive  load to remove the clearance, is  (A) 25 N  (B) 30 N  (C) 35 N  (D) 40 N 

Last Answer : (C) 35 N 

Pick up the correct statement from the following: (A) A wire wound in spiral form, is called a helical spring (B) The pitch of a close coil spring, is very small (C) The angle made by the coil with horizontal, is called the angle of helix (D) All the above

Description : Pick up the correct statement from the following:  (A) A wire wound in spiral form, is called a helical spring  (B) The pitch of a close coil spring, is very small  (C) The angle made by the coil with horizontal, is called the angle of helix  (D) All the above

Last Answer : (D) All the above

A concentric spring consists of 2 sprigs of diameter 10mm and 4mm. The net force acting on the composite spring is 5000N. Find the force acting on each of the two springs. (a) 1232.2N and 3767.8N (b) 786.4N and 4213.6N (c) 689.7N and 4310.3N (d) 645.3N and 4354.7N

Description : A concentric spring consists of 2 sprigs of diameter 10mm and 4mm. The net force acting on the composite spring is 5000N. Find the force acting on each of the two springs. (a) 1232.2N and 3767.8N (b) 786.4N and 4213.6N (c) 689.7N and 4310.3N (d) 645.3N and 4354.7N

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A closed helical spring under axial load is designed on the basis of (a) Shear (b) Compression (c) Bending (d) None

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A compression spring is made of music wire of 2 mm diameter having a shear strength and shear modulus of 800 Mpa and 80 Gpa respectively. The mean coil diameter is 20mm, free length is 40 mm, and the number of active coils is 10. If the mean coil diameter is reduced to 10 mm, the stiffness of the spring is approximately a. increased by 8 times b. decreased by 2 times c. increased by 2 times d. decreased by 8 times

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Last Answer : a. increased by 8 times

The stiffness of spring is, (A) Deflection per unit of axial force (B) Force per unit cross-sectional area of spring (C) Ratio of mean coil diameter to wire diameter (D) Force required to produce unit deflection

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A spring used to absorb shocks and vibrations is (a) Close-coil helical spring (b) Open coiled helical spring (c) Spiral spring (d) Leaf spring

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Initial gap between two turns of a close coil helical tension spring should be a. 0.5 mm b. based on the maximum deflection c. 1 mm d. zero

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The spring constant of a helical compression spring does not depend on a. Coil diameter b. Material strength c. Number of active turns d. wire diameter

Description : The spring constant of a helical compression spring does not depend on a. Coil diameter b. Material strength c. Number of active turns d. wire diameter

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If a close-coiled helical spring absorbs 50 N-mm of energy while extending by 5 mm, its stiffness will be (a) 2 N/mm (b) 4 N/mm (c) 6 N/mm (d) 10 N/mm

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Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns of 20-mm-diameter wire on a mean radius of 90 mm when the spring is supporting a load of 1.5 kN. and G = 83 GPa. a. 200 mm b. 105.4 mm c. 150 mm d. 250 mm

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t consists of spike tooth cylinder, woven- wire mesh concave and upper casing provided with helical concave. a) Dummy type c) Spike-tooth type b) Hummer type d) Axial flow type

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Find the shear stress in the spring wire used to design a helical compression sprig if a load of 1200N is applied on the spring. Spring index is 6, and wire diameter 7mm. a) 452.2N/mm² b) 468.6N/mm² c) 512.2N/mm² d) None of the listed

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Find total number coils in a spring having square and ground ends. Deflection in the spring is 6mm when load of 1100N is applied. Modulus of rigidity is 81370N/mm². Wire diameter and pitch circle diameter are 10mm and 50mm respectively. a) 7 b) 6 c) 5 d) 4

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A close-coiled helical spring of stiffness 30 N/mm is arranged in series with another such spring of stiffness 60 N/mm. The stiffness of composite unit is (a) 20 N/mm (b) 30 N/mm (c) 45 N/mm (d) 90 N/mm

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Axial length of an unloaded helical compression spring is called (A) compressed length (B) solid length (C) free length (D) none of the above

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When the helical compression spring is subjected to axial compressive force, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

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When the helical extension spring is subjected to axial tensile force, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

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A open helical spring under axial torque is designed on the basis of (a) Shear (b) Compression (c) Bending (d) None

Description : A open helical spring under axial torque is designed on the basis of (a) Shear (b) Compression (c) Bending (d) None

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Description : A closed helical spring under axial torque is designed on the basis of (a) Shear (b) Compression (c) Bending (d) None

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A close coiled spring under axial load produces (a) Bending stresses (b) Shear stresses (c) Tensile stresses (d) None

Description : A close coiled spring under axial load produces (a) Bending stresses (b) Shear stresses (c) Tensile stresses (d) None

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Axial length of the spring which is so compressed that the adjacent coils touch each other. (A) compressed length (B) solid length (C) free length (D) none of the above

Description : Axial length of the spring which is so compressed that the adjacent coils touch each other. (A) compressed length (B) solid length (C) free length (D) none of the above

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The section modulus of a rectangular light beam 25 metres long is 12.500 cm3 . The beam is simply supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a point load of 4 tonnes at the centre. The maximum stress in the bottom most fibre at the mid span section, is (A) 13.33 kg/cm2 tensile (B) 13.33 kg/cm2 compressive (C) 26.67 kg/cm2 tensile (D) 26.67 kg/cm2 compressive

Description : The section modulus of a rectangular light beam 25 metres long is 12.500 cm3 . The beam is simply supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a point load of ... 13.33 kg/cm2 compressive (C) 26.67 kg/cm2 tensile (D) 26.67 kg/cm2 compressive

Last Answer : (C) 26.67 kg/cm2 tensile

A helical spring is fabricated by wrapping wire 19.05 mm in diameter around a forming cylinder 203.2 mm in diameter. Compute the number of turns required to permit an elongation of 101.6 mm. without exceeding a shearing stress of 124 N/mm2. G = 82737 N/mm2. a. 10 turns b. 20 turns c. 25 turns d. 30 turns

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An AC circuit consists of a resistance and a choke coil in series . The resistance is of 220 `Omega` and choke coils is of 0.7 H . The power abosorbed

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Strain energy in a close coiled helical spring is (a) τ2/8G (b) τ2/16G (c) τ2/4G (d) None

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The maximum shear stress in spring wire is induced at (A) Inner surface of the coil (B) Outer surface of the coil (C) Central surface of the coil (D) End coils

Description : The maximum shear stress in spring wire is induced at (A) Inner surface of the coil (B) Outer surface of the coil (C) Central surface of the coil (D) End coils

Last Answer : (A) Inner surface of the coil

If uncompressed length of spring is 40mm and number of coils 10mm, then pitch of coil is? a) 4 b) 40/9 c) 40/11 d) None of the mentioned

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A close coiled helical spring is compressed. Its wire is subjected to A. Compression B. Tension C.Shear D. Torque

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Deflection in a close coiled helical spring is (a) 16 WR3n/Gd4 (b) 32 WR3n/Gd4 (c) 64 WR3n/Gd4 (d) None

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Shear stress in a close coiled helical spring is (a) 16WD/π d3 (b) 32WD/π d3 (c) 8WD/π d3 (d) None

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Two close-coiled helical springs are equal in all respects except the number of turns. If the number of turns are in the ratio of 2:3, then the stiffness of the spring will be in the ratio of (a) 2:3 (b) 4:9 (c) 3:2 (d) 9:4

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Last Answer : (c) 3:2

A close –coiled helical spring is cut into two equal parts. The stiffness of the resulting springs will be (a) same (b) double (c) half (d) One-fourth

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The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called (A) Stiffness (B) Proof resilience (C) Proof stress (D) Proof load

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If number of coils are 8 and wire diameter of spring 3mm, then solid length is given by? a) None of the listed b) 27mm c) 24mm d) 21mm

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The deflection of a uniform circular bar of diameter d and length , which extends by an amount under a tensile pull , when it carries the same load at its mid-span, is (A) el/2d (B) e²l/3d² (C) el²/3d² (D) e²l²/3d

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An R.C.C. column of 30 cm diameter is reinforced with 6 bars 12 mm placed symmetrically along the circumference. If it carries a load of 40, 000 kg axially, the stress is (A) 49.9 kg/cm2 (B) 100 kg/cm2 (C) 250 kg/cm2 (D) 175 kg/cm

Description : An R.C.C. column of 30 cm diameter is reinforced with 6 bars 12 mm placed symmetrically along the circumference. If it carries a load of 40, 000 kg axially, the stress is (A) 49.9 kg/cm2 (B) 100 kg/cm2 (C) 250 kg/cm2 (D) 175 kg/cm

Last Answer : Answer: Option A