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

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

by

1 Answer

Answer :

(D) 4WR3n/Cr

by

Related questions

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

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

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

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

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

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

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

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

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

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

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

Last Answer : (D) Torsional shear stress

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

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

The load required to produce a unit deflection in the spring is called (a) Modulus of Rigidity (b) Spring stiffness (c) Flexural rigidity (d) Tensional rigidity

Description : The load required to produce a unit deflection in the spring is called (a) Modulus of Rigidity (b) Spring stiffness (c) Flexural rigidity (d) Tensional rigidity

Last Answer : b) Spring stiffness

The load required to produce a unit deflection in the spring is called (a) Modulus of Rigidity (b) Spring stiffness (c) Flexural rigidity (d) Tensional rigidity

Description : The load required to produce a unit deflection in the spring is called (a) Modulus of Rigidity (b) Spring stiffness (c) Flexural rigidity (d) Tensional rigidity

Last Answer : (b) Spring stiffness

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°

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

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

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

Last Answer : (d) Leaf spring

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

Last Answer : d) Leaf spring

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 

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 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

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

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

Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, subjected to w/m u.d.l., is (A) (3/4) (L²w/GA) (B) (3/2) (L²w/GA) (C) (2/3) (L3w/GA) (D) (3/2) (Lw/GA²)

Description : Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, subjected to w/m u.d.l., is (A) (3/4) (L²w/GA) (B) (3/2) (L²w/GA) (C) (2/3) (L3w/GA) (D) (3/2) (Lw/GA²)

Last Answer : (A) (3/4) (L²w/GA)

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

The capacity of a spring to store energy is called the spring form coefficient. Stiffness of a spring is measured by the (A) Ability to absorb shock (B) Capacity to store energy (C) Ratio of the wire & coil diameters (D) Load to produce unit deflection

Description : The capacity of a spring to store energy is called the spring form co-efficient. Stiffness of a spring is measured by the (A) Ability to absorb shock (B) Capacity to store energy (C) Ratio of the wire & coil diameters (D) Load to produce unit deflection

Last Answer : Option D

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 

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

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

A cantilever of length is subjected to a bending moment at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is (A) ML/EI (B) ML/2EI (C) ML²/2EI (D) ML²/3EI

Description : A cantilever of length is subjected to a bending moment at its free end. If EI is the flexural  rigidity of the section, the deflection of the free end, is  (A) ML/EI (B) ML/2EI (C) ML²/2EI (D) ML²/3EI

Last Answer : (D) ML²/3EI

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

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

Last Answer : (a) Shear

The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is (A) WL²/2EI (B) WL²/3EI (C) WL3 /2EI (D) WL3 /3EI

Description : The maximum deflection due to a load W at the free end of a cantilever of length L and having  flexural rigidity EI, is  (A) WL²/2EI (B) WL²/3EI (C) WL3 /2EI (D) WL3 /3EI

Last Answer : (D) WL3 /3EI

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

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

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

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

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

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

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

In a square and ground helical spring the effective number of turns is incresead by a. 1 b. 2 c. 1.5 d. 0 Ans: b 77. Frequency of the fluctuating load of helical compression spring should be a. lees than natural frequency of vibration b. twenty times the natural frequency of vibration c. slightly greater than the natural frequency d. twenty times less than the natural frequency of vibration

Description : In a square and ground helical spring the effective number of turns is incresead by a. 1 b. 2 c. 1.5 d. 0 Ans: b 77. Frequency of the fluctuating load of helical compression ... vibration c. slightly greater than the natural frequency d. twenty times less than the natural frequency of vibration

Last Answer : d. twenty times less than the natural frequency of vibration

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 × 106 N/mm2 , the deflection of the free end, is (A) 2 mm (B) 3 mm (C) 4 mm (D) 5 mm

Description : 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 × 106  N/mm2 , the deflection of the free end,  is  (A) 2 mm  (B) 3 mm  (C) 4 mm  (D) 5 mm

Last Answer : (D) 5 mm

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