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

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
by

1 Answer

Answer :

(D) ML²/2EI
by

Related questions

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

Maximum deflection in a cantilever beam with W at the free end will be a.WL3/6EI. b.WL3/2EI c.WL3/3EI d.None.

Description : Maximum deflection in a cantilever beam with W at the free end will be a.WL3/6EI. b.WL3/2EI c.WL3/3EI d.None.

Last Answer : c.WL3/3EI

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

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 stiffness factor for a prismatic beam of length L and moment of inertia I, is (A) IE/L (B) 2EI/L (C) 3EI/L (D) 4EI/L

Description : The stiffness factor for a prismatic beam of length L and moment of inertia I, is  (A) IE/L (B) 2EI/L (C) 3EI/L (D) 4EI/L

Last Answer : (A) IE/L

Maximum slope in a cantilever beam with W at the free end will be a.WL2/4EI b.WL2/8EI c.WL2/2EI d.None.

Description : Maximum slope in a cantilever beam with W at the free end will be a.WL2/4EI b.WL2/8EI c.WL2/2EI d.None.

Last Answer : c.WL2/2EI

Maximum slope in a cantilever beam with UDL w over the entire length will be a. wl3/9EI b. wl3/6EI c. wl3/3EI d. None.

Description : Maximum slope in a cantilever beam with UDL w over the entire length will be a. wl3/9EI b. wl3/6EI c. wl3/3EI d. None.

Last Answer : b. wl3/6EI

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

Description : 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

Last Answer : (D) All the above

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 energy stored in a beam of length subjected to a constant B.M. is (A) M²L/2EI (B) ML²/2EI (C) M²L/EI (D) ML²/EI

Description : The energy stored in a beam of length subjected to a constant B.M. is  (A) M²L/2EI (B) ML²/2EI (C) M²L/EI (D) ML²/EI

Last Answer : (A) M²L/2E

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

Differences in deflections between two points A and B by the moment area method is given by a.(Area of BMD diagram between A and B ).XB/2EI. b.(Area of BMD diagram between A and B).XB/3EI c.(Area of BMD diagram between A and B) .XB/EI d.None.

Description : Differences in deflections between two points A and B by the moment area method is given by a.(Area of BMD diagram between A and B ).XB/2EI. b.(Area of BMD diagram between A and B).XB/3EI c.(Area of BMD diagram between A and B) .XB/EI d.None.

Last Answer : c.(Area of BMD diagram between A and B) .XB/EI

.Differences in slopes between two points A and B by the moment area method is given by a.Area of BMD diagram between A and B /2EI. b.Area of BMD diagram between A and B /3EI. C.Area of BMD diagram between A and B /EI d.None.

Description : .Differences in slopes between two points A and B by the moment area method is given by a.Area of BMD diagram between A and B /2EI. b.Area of BMD diagram between A and B /3EI. C.Area of BMD diagram between A and B /EI d.None.

Last Answer : C.Area of BMD diagram between A and B /EI

A cantilever carrying a uniformly distributed load W over its full length is propped at its free end such that it is at the level of the fixed end. The bending moment will be zero at its free end also at (A) Midpoint of the cantilever (B) Fixed point of the cantilever (C) 1/4th length from free end (D) 3/4th length from free end

Description : A cantilever carrying a uniformly distributed load W over its full length is propped at its free end such that it is at the level of the fixed end. The bending moment will be zero at its free end also at ... point of the cantilever (C) 1/4th length from free end (D) 3/4th length from free end

Last Answer : (D) 3/4th length from free end

In case of a cantilever beam, bending moment at the free end will be (a) Maximum (b) Minimum (c) Zero (d) None

Description : In case of a cantilever beam, bending moment at the free end will be (a) Maximum (b) Minimum (c) Zero (d) None

Last Answer : c) Zero

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

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 moment diagram for a cantilever whose free end is subjected to a bending moment, will be a (A) Triangle (B) Rectangle (C) Parabola (D) Cubic parabola

Description : The moment diagram for a cantilever whose free end is subjected to a bending moment, will be a  (A) Triangle  (B) Rectangle  (C) Parabola  (D) Cubic parabola 

Last Answer : (B) Rectangle 

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

Description : 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

Last Answer : (D) 8/3

In case of a cantilever beam, bending moment at the fixed end will be (a) Maximum (b) Minimum (c) Zero (d) None

Description : In case of a cantilever beam, bending moment at the fixed end will be (a) Maximum (b) Minimum (c) Zero (d) None

Last Answer : (a) Maximum

The bending moment at the fixed end of a cantilever beam is (a) Maximum (b) Minimum (c) Wl/2 (d) Wl

Description : The bending moment at the fixed end of a cantilever beam is (a) Maximum (b) Minimum (c) Wl/2 (d) Wl

Last Answer : (a) Maximum

In a cantilever carrying a uniformly varying load starting from zero at the free end, the Bending moment diagram is (a) A horizontal line parallel to x-axis (b) A line inclined to x-axis (c) Follows a parabolic law (d) Follows a cubic law

Description : In a cantilever carrying a uniformly varying load starting from zero at the free end, the Bending moment diagram is (a) A horizontal line parallel to x-axis (b) A line inclined to x-axis (c) Follows a parabolic law (d) Follows a cubic law

Last Answer : (d) Follows a cubic law

The bending moment diagram for a cantilever with point load, at the free end will be (a) A triangle with max. height under free end (b) A triangle with max. height under fixed end (c) A parabolic curve (d) None of these

Description : The bending moment diagram for a cantilever with point load, at the free end will be (a) A triangle with max. height under free end (b) A triangle with max. height under fixed end (c) A parabolic curve (d) None of these

Last Answer : (b) A triangle with max. height under fixed end

The moment diagram for a cantilever carrying linearly varying load from zero at its free end and to maximum at the fixed end will be a (A) Triangle (B) Rectangle (C) Parabola (D) Cubic parabola

Description : The moment diagram for a cantilever carrying linearly varying load from zero at its free end and to maximum at the fixed end will be a (A) Triangle (B) Rectangle (C) Parabola (D) Cubic parabola

Last Answer : (D) Cubic parabola

.Maximum slope in a cantilever beam with a Moment M at the free end will be a. 3ML/EI. b.2ML/EI. C. ML/EI. d. None.

Description : .Maximum slope in a cantilever beam with a Moment M at the free end will be a. 3ML/EI. b.2ML/EI. C. ML/EI. d. None.

Last Answer : C. ML/EI.

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

Last Answer : Answer: Option A

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

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

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

Description : 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 

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

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 

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 maximum bending moment and deflection for two way slab is much _____- ____than that of a one wayslad. (a) Greater (b) Smaller (c) Equal (d) All of these

Description : The maximum bending moment and deflection for two way slab is much _________than that of a one wayslad. (a) Greater (b) Smaller (c) Equal (d) All of these

Last Answer : (b) Smaller

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

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 W at the free end 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 W at the free end 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.

In cantilever beam the slope and deflection at the free end is ---------. a.zero b.maximum c.minimum d.none of above.

Description : In cantilever beam the slope and deflection at the free end is ---------. a.zero b.maximum c.minimum d.none of above.

Last Answer : b.maximum

Maximum bending moment in a cantilever beam having a UDL over entire length will be (a) wL2/2 (b) wL2/4 (c) wL2/8 (d) None

Description : Maximum bending moment in a cantilever beam having a UDL over entire length will be (a) wL2/2 (b) wL2/4 (c) wL2/8 (d) None

Last Answer : a) wL2/2

Find the correct statement from the followings. (a) For a cantilever slab, the ratio of span to overall depth should not 12. (b) One way slab which carry uniformly distributed load should be designed to resist a sagging bending moment near mid-span. (c) When the slab is built into a brick or masonry wall the slab should be designed to resist a hogging moment at the face of the support. (d) All of the above.

Description : Find the correct statement from the followings. (a) For a cantilever slab, the ratio of span to overall depth should not 12. (b) One way slab which carry uniformly distributed load should be designed to ... be designed to resist a hogging moment at the face of the support. (d) All of the above.

Last Answer : (d) All of the above.

A shaft a. Is always subjected to pure torsion b. Combination of M & T but no end thrust c. Combination of torque & end thrust but no bending moment d. May be subjected to a combination of M, T and end thrust

Description : A shaft a. Is always subjected to pure torsion b. Combination of M & T but no end thrust c. Combination of torque & end thrust but no bending moment d. May be subjected to a combination of M, T and end thrust

Last Answer : d. May be subjected to a combination of M, T and end thrust

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 shaft is said to be in pure torsion if a. Turning moment is applied at one end and other end is free b. Turning force is applied at one end and other end is free c. Two opposite turning moments are applied to the shaft d. Combination of torsional load and bending load is applied to the shaft

Description : A shaft is said to be in pure torsion if a. Turning moment is applied at one end and other end is free b. Turning force is applied at one end and other end is free c. Two opposite turning moments are applied to the shaft d. Combination of torsional load and bending load is applied to the shaft

Last Answer : c. Two opposite turning moments are applied to the shaft

The moment diagram for a cantilever carrying a concentrated load at its free end, will be (A) Triangle (B) Rectangle (C) Parabola (D) Cubic parabola

Description : The moment diagram for a cantilever carrying a concentrated load at its free end, will be  (A) Triangle  (B) Rectangle  (C) Parabola  (D) Cubic parabola 

Last Answer : (A) Triangle

In case of cantilever, irrespective of the type of loading the maximum bendry moment and maximum shear force occur at a.107 dynes b.Free end c.2/3 of the length, from the free end d.Centre of the beam e.Fixed end

Description : In case of cantilever, irrespective of the type of loading the maximum bendry moment and maximum shear force occur at a.107 dynes b.Free end c.2/3 of the length, from the free end d.Centre of the beam e.Fixed end

Last Answer : e. Fixed end

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 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 the slope deflection equations, the deformations are considered to be caused by (i) Bending moment (ii) Shear force (iii) Axial force The correct answer is (A) Only (i) (B) (i) and (ii) (C) (ii) and (iii) (D) (i), (ii) and (iii)

Description : In the slope deflection equations, the deformations are considered to be caused by (i) Bending moment (ii) Shear force (iii) Axial force The correct answer is (A) Only (i) (B) (i) and (ii) (C) (ii) and (iii) (D) (i), (ii) and (iii)

Last Answer : (A) Only (i)

Bending moment at any section in a conjugate beam gives in the actual beam (A) Slope (B) Curvature (C) Deflection (D) Bending moment

Description : Bending moment at any section in a conjugate beam gives in the actual beam (A) Slope (B) Curvature (C) Deflection (D) Bending moment

Last Answer : (C) Deflection