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)

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)
by

1 Answer

Answer :

(A) (3/4) (L²w/GA)
by

Related questions

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

is the pre-stressed force applied to the tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The maximum stress in the beam, subjected to a maximum bending moment , is (A) f = (P/A) + (Z/M) (B) f = (A/P) + (M/Z) (C) f = (P/A) + (M/Z) (D) f = (P/A) + (M/6Z)

Description : is the pre-stressed force applied to the tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The maximum stress in the beam, subjected to a maximum bending moment , is (A) f = (P/A) + (Z/M) ... ) + (M/Z) (C) f = (P/A) + (M/Z) (D) f = (P/A) + (M/6Z)

Last Answer : Answer: Option C

is the pre-stressed force applied to tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The minimum stress on the beam subjected to a maximum bending moment is (A) f = (P/A) - (Z/M) (B) f = (A/P) - (M/Z) (C) f = (P/A) - (M/Z) (D) f = (P/A) - (M/6Z)

Description : is the pre-stressed force applied to tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The minimum stress on the beam subjected to a maximum bending moment is (A) f = (P/A) - (Z/M) (B) f = (A/P) - (M/Z) (C) f = (P/A) - (M/Z) (D) f = (P/A) - (M/6Z)

Last Answer : Answer: Option C

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 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

Description : 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

Last Answer : a) 0.147

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 cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio of (A) 8 (B) 1/8 (C) 1/2 (D) 3

Description : A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the  width of the beam is doubled, the deflection of the free end will be changed in the ratio of  (A) 8  (B) 1/8  (C) 1/2  (D) 3

Last Answer : (C) 1/2 

A cantilever beam of length of 2m carries a U.D.L. of 150 N/m over its whole span. The maximum shear force in the beam will be (a) 150 N (b) 300 N (c) 150 N-m (d) 600 N-m

Description : A cantilever beam of length of 2m carries a U.D.L. of 150 N/m over its whole span. The maximum shear force in the beam will be (a) 150 N (b) 300 N (c) 150 N-m (d) 600 N-m

Last Answer : (b) 300 N

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

The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is (A) wl3 /3EI (B) wl4 /3EI (C) wl4 /8EI (D) wl4 /12E

Description : The maximum deflection due to a uniformly distributed load w/unit length over entire span of a  cantilever of length l and of flexural rigidly EI, is  (A) wl3 /3EI (B) wl4 /3EI (C) wl4 /8EI (D) wl4 /12E

Last Answer : (C) wl4 /8EI

The deflection due to couple M at the free end of a cantilever length L is (A) ML/EI (B) 2ML/EI (C) ML²/2E(D) M²L/2EI

Description : The deflection due to couple M at the free end of a cantilever length L is  (A) ML/EI (B) 2ML/EI (C) ML²/2E (D) M²L/2EI

Last Answer : (C) ML²/2EI

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 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 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

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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

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

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

Description : 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 carries is uniformly distributed load W over its whole length and a force W acts at its free end upward. The net deflection of the free end will be (A) Zero (B) (5/24) (WL3 /EI) upward (C) (5/24) (WL3 /EI) downward (D) None of these

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Last Answer : (B) (5/24) (WL3 /EI) upward

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

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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 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41

Description : 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

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

Last Answer : a) 575

The maximum load to which a fillet joint of length can be subjected to, is (A) 0.7 × S × fillet size × L (B) 2 × S × fillet size × L (C) Permissible shear stress × fillet size × L (D) (S × fillet size × L)/3

Description : The maximum load to which a fillet joint of length can be subjected to, is  (A) 0.7 × S × fillet size × L (B) 2 × S × fillet size × L (C) Permissible shear stress × fillet size × L (D) (S × fillet size × L)/3 

Last Answer : (A) 0.7 × S × fillet size × L

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

Description : 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

Last Answer : c. WL/2E

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

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Last Answer : a. 4PL/ΠE. D1D2

Resistance of an electrical conductor is proportional to its (where, l = length and A = cross-sectional area of the conductor) (A) A (B) l (C) A2 (D) Both 'a' & 'b'

Description : Resistance of an electrical conductor is proportional to its (where, l = length and A = cross-sectional area of the conductor) (A) A (B) l (C) A2 (D) Both 'a' & 'b'

Last Answer : (D) Both 'a' & 'b'

A uniform girder simply supported at its ends is subjected to a uniformly distributed load over its entire length and is propped at the centre so as to neutralise the deflection. The net B.M. at the centre will be (A) WL (B) WL/8 (C) WL/24 (D) WL/32

Description : A uniform girder simply supported at its ends is subjected to a uniformly distributed load over its entire length and is propped at the centre so as to neutralise the deflection. The net B.M. at the centre will be (A) WL (B) WL/8 (C) WL/24 (D) WL/32

Last Answer : (D) WL/32

Maximum deflection in a cantilever beam with UDL w over the entire length will be a. At the free end. b. At the fixed end. c. At the centre d. None.

Description : Maximum deflection in a cantilever beam with UDL w over the entire length will be a. At the free end. b. At the fixed end. c. At the centre d. None.

Last Answer : a. At the free end.

Maximum deflection in a cantilever beam with UDL w over the entire length will be a.wL4/4EI b.wL4/12EI C.wl4/ 8EI d.None.

Description : Maximum deflection in a cantilever beam with UDL w over the entire length will be a.wL4/4EI b.wL4/12EI C.wl4/ 8EI d.None.

Last Answer : C.wl4/ 8EI

In a cantilever subjected to a combination of concentrated load, uniformly distributed load and uniformly varying load, Maximum bending moment is (a) Where shear force=0 (b) At the free end (c) At the fixed end (d) At the mid-point

Description : In a cantilever subjected to a combination of concentrated load, uniformly distributed load and uniformly varying load, Maximum bending moment is (a) Where shear force=0 (b) At the free end (c) At the fixed end (d) At the mid-point

Last Answer : (c) At the fixed end

A cantilever of length 3 m carries a uniformly distributed load over the entire length.If the deflection at the free end is 40 mm,find the slope at the free end. a.0.0115 rad b.0.01777 rad c.0.001566 rad d.0.00144 rad

Description : A cantilever of length 3 m carries a uniformly distributed load over the entire length.If the deflection at the free end is 40 mm,find the slope at the free end. a.0.0115 rad b.0.01777 rad c.0.001566 rad d.0.00144 rad

Last Answer : b.0.01777 rad

A cantilever of length 3 m carries two point loads of 2 KN at the free end and 4KN at a distance of 1m from the free end .What is the deflection at the free end? Take E= 2×105 N/mm2and I= 108 mm4. a.2.56 mm b.3.84 mm c.1.84 mm d.5.26mm

Description : A cantilever of length 3 m carries two point loads of 2 KN at the free end and 4KN at a distance of 1m from the free end .What is the deflection at the free end? Take E= 2×105 N/mm2and I= 108 mm4. a.2.56 mm b.3.84 mm c.1.84 mm d.5.26mm

Last Answer : c.1.84 mm

If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of the free end will increase by (A) 8 (B) 1/8 (C) 1/3 (D) 2

Description : If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of the free end will increase by (A) 8 (B) 1/8 (C) 1/3 (D) 2

Last Answer : (B) 1/8

The ratio of the maximum deflection of a cantilever beam with an isolated load at its free end and with a uniformly distributed load over its entire length, is (A) 1 (B) 24/15 (C) 3/8 (D) 8/3

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Last Answer : (D) 8/3

δ = (W a 2 b 2 ) / (3 EIL) is the value of deflection for ______ A. simply supported beam which has central point load B. simply supported beam which has eccentric point load C. simply supported beam which has U.D.L. point load per unit length D. fixed beam which has central point load

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Last Answer : B. simply supported beam which has eccentric point load

δ = (W a 2 b 2 ) / (3 EIl) is the value of deflection for ______ a. simply supported beam which has central point load b. simply supported beam which has eccentric point load c. simply supported beam which has U.D.L. point load per unit length d. fixed beam which has central point load

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Maximum deflection of a (A) Cantilever beam carrying a concentrated load W at its free end is WL3 /3EI (B) Simply supported beam carrying a concentrated load W at mid-span is WL3 /48EI (C) Cantilever beam, carrying a uniformly distributed load over span is WL3 /8EI (D) All the above

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Last Answer : (D) All the above

The spring index is, (A) Ratio of wire diameter to mean coil diameter (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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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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Maximum deflection of a cantilever due to pure bending moment M at its free end, is (A) ML²/3EI (B) ML²/4EI (C) ML²/6EI (D) ML²/2EI

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For a cantilever of effective depth of 0.5 m, the maximum span to satisfy vertical deflection limit is (A) 3.5 m (B) 4 m (C) 4.5 m (D) 5 m

Description : For a cantilever of effective depth of 0.5 m, the maximum span to satisfy vertical deflection limit is (A) 3.5 m (B) 4 m (C) 4.5 m (D) 5 m

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The discharge through an external mouthpiece is given by (where a = Cross-sectional area of the mouthpiece, and H = Height of liquid above the mouthpiece) (A) 0.855 a. gH) (B) 1.855 aH. g) (C) 1.585 a. gH) (D) 5.85 aH. g)

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Shear force for a cantilever carrying a uniformly distributed load over its length, is (A) Triangle (B) Rectangle (C) Parabola (D) Cubic parabola

Description : Shear force for a cantilever carrying a uniformly distributed load over its length, is  (A) Triangle  (B) Rectangle  (C) Parabola  (D) Cubic parabola 

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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

Description : 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 ... (A) - 0.000909 m (B) + 0.0909 m (C) 0.000909 m (D) None of these

Last Answer : (A) - 0.000909 m

A current of 2 A is flowing through a wire of length 4 m and cross-sectional area `1 mm^(2)`. If each cubic metre of the wire contains `10^(29)` free

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The ratio of the effective length of a column and minimum radius of gyration of its cross-sectional area, is known (A) Buckling factor (B) Slenderness ratio (C) Crippling factor (D) None of these

Description : The ratio of the effective length of a column and minimum radius of gyration of its cross-sectional area, is known (A) Buckling factor (B) Slenderness ratio (C) Crippling factor (D) None of these

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16. Surface tension force is the product of surface tension per unit length and cross-sectional area of flow. A) Correct B) Incorrect

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A reinforced concrete cantilever beam is 3.6 m long, 25 cm wide and has its lever arm 40 cm. It carries a load of 1200 kg at its free end and vertical stirrups can carry 1800 kg. Assuming concrete to carry one-third of the diagonal tension and ignoring the weight of the beam, the number of shear stirrups required, is (A) 30 (B) 35 (C) 40 (D) 45

Description : A reinforced concrete cantilever beam is 3.6 m long, 25 cm wide and has its lever arm 40 cm. It carries a load of 1200 kg at its free end and vertical stirrups can carry 1800 kg. Assuming concrete to carry one- ... beam, the number of shear stirrups required, is (A) 30 (B) 35 (C) 40 (D) 45

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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

Description : 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 ... (A) L/d (B) L/2d (C) (L/2d)² (D) (L/3d)²

Last Answer : (C) (L/2d)

The maximum deflection of a simply supported beam of length L with a central load W, is (A) WL²/48EI (B) W²L/24EI (C) WL3 /48EI (D) WL²/8EI

Description : The maximum deflection of a simply supported beam of length L with a central load W, is (A) WL²/48EI (B) W²L/24EI (C) WL3 /48EI (D) WL²/8EI

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