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

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

by

1 Answer

Answer :

(D) ML²/3EI

by

Related questions

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

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

Description : 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

Last Answer : (D) ML²/2EI

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 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 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

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

The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is (A) WL3 /3EL (B) WL3 /8EL (C) WL3 /24EL (D) WL3 /48EL

Description : The maximum deflection of a simply supported beam of span L, carrying an isolated load at the  centre of the span; flexural rigidity being EI, is  (A) WL3 /3EL (B) WL3 /8EL (C) WL3 /24EL (D) WL3 /48EL

Last Answer : (D) WL3 /48EL

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

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 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.

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

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

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 

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 product of the tangential force acting on the shaft and radius of shaft known as (a) Torsional rigidity (b) Flexural rigidity (c) Bending moment (d) Twisting moment

Description : The product of the tangential force acting on the shaft and radius of shaft known as (a) Torsional rigidity (b) Flexural rigidity (c) Bending moment (d) Twisting moment

Last Answer : (d) Twisting moment

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 simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam? a. 5.4 mm b. 1.08 mm c. 6.2 mm d. 8.6 mm

Description : A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam? a. 5.4 mm b. 1.08 mm c. 6.2 mm d. 8.6 mm

Last Answer : a. 5.4 mm

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

A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is (A) M (B) M/2 (C) M/3 (D) ML/2

Description : A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of  moment M at its centre. The maximum bending moment in the beam is  (A) M (B) M/2  (C) M/3  (D) ML/2 

Last Answer : (A) M

If a constant section beam is subjected to a uniform bending moment throughout, its length bends to (A) A circular arc (B) A parabolic arc (C) A catenary (D) None of these

Description : If a constant section beam is subjected to a uniform bending moment throughout, its length bends  to  (A) A circular arc  (B) A parabolic arc  (C) A catenary  (D) None of these 

Last Answer : (A) A circular arc 

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)

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 expression EI d4y/dx4 at a section of a member represents a. Shearing force b. rate of loading c. bending moment d.slope.

Description : The expression EI d4y/dx4 at a section of a member represents a. Shearing force b. rate of loading c. bending moment d.slope.

Last Answer : b. rate of loading

.The expression EI d3y/dx3 at a section of a member represents a.Shearing force b.rate of loading c.bending moment d.slope.

Description : .The expression EI d3y/dx3 at a section of a member represents a.Shearing force b.rate of loading c.bending moment d.slope.

Last Answer : a.Shearing force

The expression EI d2y/dx2 at a section of a member represents a. Shearing force b.rate of loading c.bending moment d.slope.

Description : The expression EI d2y/dx2 at a section of a member represents a. Shearing force b.rate of loading c.bending moment d.slope.

Last Answer : c.bending moment

For finding out the bending moment for the arm (spoke) of flywheel the arm is assumed as 1. a cantilever beam fixed at the rim and subjected to tangential force at the hub 2. a simply supported beam fixed at hub and rim and carrying uniformly distributed load 3. a cantilever hub fixed at the rim and subjected to tangential force at the rim 4. a fixed beam fixed at hub and rim and carrying uniformly distributed load

Description : For finding out the bending moment for the arm (spoke) of flywheel the arm is assumed as 1. a cantilever beam fixed at the rim and subjected to tangential force at the hub 2. a simply ... tangential force at the rim 4. a fixed beam fixed at hub and rim and carrying uniformly distributed load

Last Answer : 3. a cantilever hub fixed at the rim and subjected to tangential force at the rim

For finding out the bending moment for the arm (spoke) of flywheel, the arm is assumed as, (A) A cantilever beam fixed at the rim and subjected to tangential force at the hub (B) A simply supported beam fixed at hub and rim and carrying uniformly distributed load (C) A cantilever beam fixed at the hub and subjected to tangential force at the rim (D) A fixed beam fixed at hub and rim and carrying uniformly distributed load

Description : For finding out the bending moment for the arm (spoke) of flywheel, the arm is assumed as, (A) A cantilever beam fixed at the rim and subjected to tangential force at the hub (B) A simply ... tangential force at the rim (D) A fixed beam fixed at hub and rim and carrying uniformly distributed load

Last Answer : (C) A cantilever beam fixed at the hub and subjected to tangential force at the rim

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

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

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

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

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

Deflection of a simply supported beam when subjected to central point load is given as ________ a. (Wl /16 EI) b. (Wl2/16 EI) c. (Wl3/48 EI) d. (5Wl4/ 384EI)

Description : Deflection of a simply supported beam when subjected to central point load is given as ________ a. (Wl /16 EI) b. (Wl2/16 EI) c. (Wl3/48 EI) d. (5Wl4/ 384EI)

Last Answer : c. (Wl3/48 EI)

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

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 doubly reinforced section is used (a) When the members are subjected to alternate external loads and the bending moment in the sections reverses. (b) When the member are subjected to loading eccentric in either side of the axis. (c) When the members are subjected to accidental lateral loads . (d) All of the above

Description : A doubly reinforced section is used (a) When the members are subjected to alternate external loads and the bending moment in the sections reverses. (b) When the member are subjected to loading eccentric in ... . (c) When the members are subjected to accidental lateral loads . (d) All of the above

Last Answer : (d) All of the above

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

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 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

In continuous beam, the intermediate beams are subjected to a. some bending moment b. no bending moment c. no slope d.no deflection

Description : In continuous beam, the intermediate beams are subjected to a. some bending moment b. no bending moment c. no slope d.no deflection

Last Answer : a. some bending moment

The cross sections of the beams of equal length are a circle and a square whose permissible bending stress is same under same maximum bending. The ratio of their flexural weights is, (A) 1.118 (B) 1.338 (C) 1.228 (D) 1.108

Description : The cross sections of the beams of equal length are a circle and a square whose permissible bending stress is same under same maximum bending. The ratio of their flexural weights is, (A) 1.118 (B) 1.338 (C) 1.228 (D) 1.108

Last Answer : (A) 1.118

In a simply supported beam subjected to uniformly distributed load (w) over the entire length (l), total load=W, maximum Bending moment is (a) Wl/8 or wl2/8 at the mid-point (b) Wl/8 or wl2/8 at the end (c) Wl/4 or wl2/4 (d) Wl/2

Description : In a simply supported beam subjected to uniformly distributed load (w) over the entire length (l), total load=W, maximum Bending moment is (a) Wl/8 or wl2/8 at the mid-point (b) Wl/8 or wl2/8 at the end (c) Wl/4 or wl2/4 (d) Wl/2

Last Answer : (a) Wl/8 or wl2/8 at the mid-point

Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to (A) Modulus of rigidity (B) Angle of twist (C) Reciprocal of the length of the shaft (D) Moment of inertia of the shaft section

Description : Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly  proportional to  (A) Modulus of rigidity  (B) Angle of twist  (C) Reciprocal of the length of the shaft  (D) Moment of inertia of the shaft section 

Last Answer : (D) Moment of inertia of the shaft section 

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