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

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
by

1 Answer

Answer :

(B) 2WR/ 3
by

Related questions

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 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

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

The maximum value of hoop compression in a dome is given by (A) wR / 4d (B) wR/2d (C) wR/d (D) 2wR/d Where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome

Description : The maximum value of hoop compression in a dome is given by (A) wR / 4d (B) wR/2d (C) wR/d (D) 2wR/d Where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome

Last Answer : (B) wR/2d

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

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

Description : 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

Description : 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

Last Answer : (D) Torsional shear stress

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

Description : 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 ... is less than the buckling load (D) Modulus of resilience is proportional to (stress at elastic limit)2

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

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

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

Last Answer : B. Tension

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

Description : 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

Last Answer : b. 105.4 mm

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

Last Answer : b. Material strength

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

Description : 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

Last Answer : (C) 4W²D3n/d 4N

A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p

Description : A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p

Last Answer : (d) 27/p

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

Description : 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 ... G = 82737 N/mm2. a. 10 turns b. 20 turns c. 25 turns d. 30 turns

Last Answer : a. 10 turns

The helix angle in case of closely coiled helical spring is (A) less than 5° (B) 5° to 7° (C) 7° to 10° (D) more than 10°

Description : The helix angle in case of closely coiled helical spring is (A) less than 5° (B) 5° to 7° (C) 7° to 10° (D) more than 10°

Last Answer : (D) more than 10°

The helix angle in case of closely coiled helical spring is (A) less than 10° (B) 10° to 15° (C) 15° to 20° (D) more than 20°

Description : The helix angle in case of closely coiled helical spring is (A) less than 10° (B) 10° to 15° (C) 15° to 20° (D) more than 20°

Last Answer : (A) less than 10°

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

Description : 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

Last Answer : (c) 3:2

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

Description : 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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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

Description : 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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When the helical torsion spring is subjected to torque, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Description : When the helical torsion spring is subjected to torque, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Last Answer : (C) Bending stress

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 

In a shaft, the shear stress is not directly proportional to (A) Radius of the shaft (B) Angle of twist (C) Length of the shaft (D) Modulus of rigidity

Description : In a shaft, the shear stress is not directly proportional to  (A) Radius of the shaft  (B) Angle of twist  (C) Length of the shaft  (D) Modulus of rigidity

Last Answer : (C) Length of the shaft

The type of stress induced in a closed coiled helical tension spring is a. tensile b. compressive c. torsional shear d. tensile and compressive

Description : The type of stress induced in a closed coiled helical tension spring is a. tensile b. compressive c. torsional shear d. tensile and compressive

Last Answer : c. torsional shear

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

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

Last Answer : (c) 8WD/π d3

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

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

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

Description : 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

Last Answer : a) 7

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

Description : 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

Last Answer : (d) 10 N/mm

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

Description : 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

Last Answer : (a) 20 N/mm

The ratio of shear stress and shear strain of an elastic material, is (A) Modulus of Rigidity (B) Shear Modulus (C) Modulus of Elasticity (D) Both (a) and (b)

Description : The ratio of shear stress and shear strain of an elastic material, is  (A) Modulus of Rigidity  (B) Shear Modulus  (C) Modulus of Elasticity  (D) Both (a) and (b) 

Last Answer : (D) Both (a) and (b) 

What is the product of sectional modulus and allowable bending stress called as? a. Moment of inertia b. Moment of rigidity c. Moment of resistance d. Radius of gyration

Description : What is the product of sectional modulus and allowable bending stress called as? a. Moment of inertia b. Moment of rigidity c. Moment of resistance d. Radius of gyration

Last Answer : c. Moment of resistance

If a steel rod of 20 mm diameter and 5 metres long elongates by 2.275 mm when subjected to an axial pull of 3000 kg, the stress developed, is (A) 9.5541 kg/cm2 (B) 95.541 kg/cm2 (C) 955.41 kg/cm2 (D) 9554.1 kg/cm

Description : If a steel rod of 20 mm diameter and 5 metres long elongates by 2.275 mm when subjected to an  axial pull of 3000 kg, the stress developed, is  (A) 9.5541 kg/cm2 (B) 95.541 kg/cm2 (C) 955.41 kg/cm2 (D) 9554.1 kg/cm

Last Answer : (C) 955.41 kg/cm2

If a steel rod of 20 mm diameter and 5 metres long elongates by 2.275 mm when subjected to an axial pull of 3000 kg, the stress developed, is (A) 9.5541 kg/cm2 (B) 95.541 kg/cm2 (C) 955.41 kg/cm2 (D) 9554.1 kg/cm

Description : If a steel rod of 20 mm diameter and 5 metres long elongates by 2.275 mm when subjected to an  axial pull of 3000 kg, the stress developed, is  (A) 9.5541 kg/cm2 (B) 95.541 kg/cm2 (C) 955.41 kg/cm2 (D) 9554.1 kg/cm

Last Answer : (C) 955.41 kg/cm2

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

Description : 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

Last Answer : d. zero

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 (A) E = 3K (1 - 2/m) (B) E = 2N (1 + 1/m) (C) (3/2)K (1 - 2/m) = N (1 + 1/m) (D) All the above

Description : 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  (A) E = 3K (1 - 2/m)  (B) E = 2N (1 + 1/m)  (C) (3/2)K (1 - 2/m) = N (1 + 1/m)  (D) All the above 

Last Answer : (D) All the above 

The helical spring ad wire of helical torsion spring, both are subjected to torsional shear stresses. a) True b) False

Description : The helical spring ad wire of helical torsion spring, both are subjected to torsional shear stresses. a) True b) False

Last Answer : b) False

An open-ended cylinder of radius and thickness is subjected to internal pressure . The Young's modulus for the material is and Poisson's ratio is . The longitudinal strain is (A) Zero (B) pr/TE (C) pr/2TE (D) None of these

Description : An open-ended cylinder of radius and thickness is subjected to internal pressure . The Young's modulus for the material is and Poisson's ratio is . The longitudinal strain is (A) Zero (B) pr/TE (C) pr/2TE (D) None of these

Last Answer : (A) Zero

Compute the maximum shearing stress developed in a phosphor bronze spring having mean diameter of 200 mm and consisting of 24 turns of 20-mm diameter wire when the spring is stretched 100 mm. and G = 42 GPa. a. 51 MPa b. 31.89 MPa c. 80 MPa d. 70 MPa

Description : Compute the maximum shearing stress developed in a phosphor bronze spring having mean diameter of 200 mm and consisting of 24 turns of 20-mm diameter wire when the spring is stretched 100 mm. and G = 42 GPa. a. 51 MPa b. 31.89 MPa c. 80 MPa d. 70 MPa

Last Answer : b. 31.89 MPa

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

Description : 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

Last Answer : (D) Force required to produce unit deflection

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

Description : 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 ... by 8 times b. decreased by 2 times c. increased by 2 times d. decreased by 8 times

Last Answer : a. increased by 8 times

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

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

Last Answer : (c) τ2/4G

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

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

Last Answer : (c) 64 WR3n/Gd4

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

Description : 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

Last Answer : (b) double

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

Last Answer : (b) Shear stresses

If M, I, R, E, F, and Y are the bending moment, moment of inertia, radius of curvature, modulus of elasticity stress and the depth of the neutral axis at section, then (A) M/I = R/E = F/Y (B) I/M = R/E = F/Y (C) M/I = E/R = E/Y (D) M/I = E/R = Y/F

Description : If M, I, R, E, F, and Y are the bending moment, moment of inertia, radius of curvature, modulus of  elasticity stress and the depth of the neutral axis at section, then  (A) M/I = R/E = F/Y (B) I/M = R/E = F/Y (C) M/I = E/R = E/Y (D) M/I = E/R = Y/F

Last Answer : (C) M/I = E/R = E/Y

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

Description : 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

Last Answer : b) 468.6N/mm²

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

For a given material Young's modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2 . The value of Poisson's ratio is (A) 0.15 (B) 0.20 (C) 0.25 (D) 0.30

Description : For a given material Young's modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2 . The value of Poisson's ratio is (A) 0.15 (B) 0.20 (C) 0.25 (D) 0.30

Last Answer : (C) 0.25

In case of an eccentric loading on a bracket subjected to moment M, the tangential force developed in any rivet, at right angles to its radius vector r is (A) Mr/ r² (B) r²/Mr(C) Mr²/ r² (D) Mr/ r²

Description : In case of an eccentric loading on a bracket subjected to moment M, the tangential force  developed in any rivet, at right angles to its radius vector r is  (A) Mr/ r²  (B) r²/Mr (C) Mr²/ r²  (D) Mr/ r² 

Last Answer : (A) Mr/ r² 

Wahl’s stress concentration factor is used in close coiled springs under axial load to account for (a) Shear effect (b) Bending effect (c) Compression effect (d) none

Description : Wahl’s stress concentration factor is used in close coiled springs under axial load to account for (a) Shear effect (b) Bending effect (c) Compression effect (d) none

Last Answer : (b) Bending effect