The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is (A) 1/7 (B) 2/7 (C) 3/7 (D) 2/5

The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 

2/3rd of the span, is 

(A) 1/7 

(B) 2/7 

(C) 3/7 

(D) 2/5 

by

1 Answer

Answer :

(B) 2/7 

by

Related questions

The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is (A) 1/8 (B) 1/10 (C) 1/12 (D) 1/16

Description : The ratio of the maximum deflections of a simply supported beam with a central load W and of a  cantilever of same length and with a load W at its free end, is  (A) 1/8  (B) 1/10  (C) 1/12  (D) 1/16 

Last Answer : (D) 1/16 

The ratio of the maximum deflections of a beam simply supported at its ends with an isolated central load and that of with a uniformly distributed load over its entire length, is (A) 3/2 (B) 15/24 (C) 24/15 (D) 2/3

Description : The ratio of the maximum deflections of a beam simply supported at its ends with an isolated central load and that of with a uniformly distributed load over its entire length, is (A) 3/2 (B) 15/24 (C) 24/15 (D) 2/3

Last Answer : (C) 24/15

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

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 simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be (A) 2/3 (B) 3/2 (C) 5/8 (D) 8/5

Description : A simply supported beam A carries a point load at its mid span. Another identical beam B carries  the same load but uniformly distributed over the entire span. The ratio of the maximum  deflections of the beams A and B, will be  (A) 2/3  (B) 3/2  (C) 5/8  (D) 8/5 

Last Answer : (D) 8/5 

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

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

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.

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

A cantilever beam of span 3m carries a point load 100 N at the free end. The maximum B.M in the beam will be (a) 100 N-m (b) 300 N-m (c) 150 N-m (d) 600 N-m

Description : A cantilever beam of span 3m carries a point load 100 N at the free end. The maximum B.M in the beam will be (a) 100 N-m (b) 300 N-m (c) 150 N-m (d) 600 N-m

Last Answer : (b) 300 N-m

The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x - (wx²/2) (A) A uniformly distributed load w/unit length (B) A load varying linearly from zero at one end to w at the other end (C) An isolated load at mid span (D) None of these

Description : The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x - (wx²/2)  (A) A uniformly distributed load w/unit length  (B) A load varying linearly from zero at one end to w at the other end  (C) An isolated load at mid span  (D) None of these 

Last Answer : (A) A uniformly distributed load w/unit length 

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)

Basic value .of Span to Depth ratio for cantilever to control deflection is [ A ] 7 [ B ] 20 [ C ] 26 [ D ] 35

Description : Basic value .of Span to Depth ratio for cantilever to control deflection is [ A ] 7 [ B ] 20 [ C ] 26 [ D ] 35

Last Answer : [ A ] 7

Design of R.C.C. cantilever beams, is based on the resultant force at (A) Fixed end (B) Free end (C) Mid span (D) Mid span and fixed support

Description : Design of R.C.C. cantilever beams, is based on the resultant force at (A) Fixed end (B) Free end (C) Mid span (D) Mid span and fixed support

Last Answer : Answer: Option A

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 ratio of span to depth of a cantilever slab, is (A) 8 (B) 10 (C) 12 (D) 16

Description : The maximum ratio of span to depth of a cantilever slab, is (A) 8 (B) 10 (C) 12 (D) 16

Last Answer : Answer: Option C

If the ratio of the span to the overall depth does not exceed 10, the stiffness of the beam will ordinarily be satisfactory in case of a (A) Simply supported beam (B) Continuous beam (C) Cantilever beam (D) None of these

Description : If the ratio of the span to the overall depth does not exceed 10, the stiffness of the beam will ordinarily be satisfactory in case of a (A) Simply supported beam (B) Continuous beam (C) Cantilever beam (D) None of these

Last Answer : Answer: Option C

The maximum ratio of span to depth of a cantilever slab is (a) 8 (b) 10 (c) 12 (d) 14

Description : The maximum ratio of span to depth of a cantilever slab is (a) 8 (b) 10 (c) 12 (d) 14

Last Answer : (c) 12

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

An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is (A) Wa/h (B) Wa/2h(C) 2W/ha(D) 2h/W

Description : An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of  span 2l and rise h hinged at the crown, the horizontal reaction at the support, is  (A) Wa/h  (B) Wa/2h (C) 2W/ha (D) 2h/W

Last Answer : (B) Wa/2h

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 Castigliano's second theorem can be used to compute deflections (A) In statically determinate structures only (B) For any type of structure (C) At the point under the load only (D) For beams and frames only

Description : The Castigliano's second theorem can be used to compute deflections (A) In statically determinate structures only (B) For any type of structure (C) At the point under the load only (D) For beams and frames only

Last Answer : (B) For any type of structure

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

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

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

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

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

Last Answer : Answer: Option C

A cantilever of length 3m carries a point load of 60 KN at a distance of 2m from the fixed end.If E= 2×105 and I=108, what is the deflection at the free end?. a.7 mm b.14 mm c.26 mm d.52 mm.

Description : A cantilever of length 3m carries a point load of 60 KN at a distance of 2m from the fixed end.If E= 2×105 and I=108, what is the deflection at the free end?. a.7 mm b.14 mm c.26 mm d.52 mm.

Last Answer : b.14 mm

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

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 ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is (A) 1/8 (B) 1/4 (C) 1/2 (D) 1/3

Description : The ratio of the length and diameter of a simply supported uniform circular beam which  experiences maximum bending stress equal to tensile stress due to same load at its mid span, is  (A) 1/8  (B) 1/4  (C) 1/2  (D) 1/3 

Last Answer : (C) 1/2 

The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is (A) 1/2 (B) 2/3 (C) 1/4 (D) 1/3

Description : The ratio of the length and depth of a simply supported rectangular beam which experiences  maximum bending stress equal to tensile stress, due to same load at its mid span, is  (A) 1/2  (B) 2/3  (C) 1/4  (D) 1/3

Last Answer : (B) 2/3 

A cantilever of length 3m carries a uniformly distributed load of 15KN/m over a length of 2m from the free end.If I= 108 mm4 and E= 2×105 N/mm2,find the slope at the free end? a.0.00326 rad b.0.00578 rad c.0.00677 rad d.0.00786 rad

Description : A cantilever of length 3m carries a uniformly distributed load of 15KN/m over a length of 2m from the free end.If I= 108 mm4 and E= 2×105 N/mm2,find the slope at the free end? a.0.00326 rad b.0.00578 rad c.0.00677 rad d.0.00786 rad

Last Answer : a.0.00326 rad

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 2m carries a point load of 30KN at the free end.If I = 108 mm4 and E= 2×105 N/mm2. What is the slope of the cantilever at the free end? a.0.503 rad b.0.677 rad c. 0.003 rad d.0.008

Description : A cantilever of length 2m carries a point load of 30KN at the free end.If I = 108 mm4 and E= 2×105 N/mm2. What is the slope of the cantilever at the free end? a.0.503 rad b.0.677 rad c. 0.003 rad d.0.008

Last Answer : c. 0.003 rad

The slope at the free end of a cantilever of length 1m is 10 .If the cantilever carries a uniformly distributed load over the whole length ,then the deflection at the free end will be a.1cm b.1.309 cm c.2.618 cm. d.3.927cm.

Description : The slope at the free end of a cantilever of length 1m is 10 .If the cantilever carries a uniformly distributed load over the whole length ,then the deflection at the free end will be a.1cm b.1.309 cm c.2.618 cm. d.3.927cm.

Last Answer : b.1.309 cm

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

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

In a cantilever carrying a uniformly varying load starting from zero at the free end, the shear force 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 shear force 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 : (c) Follows a parabolic 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

For a continuous floor slab supported on beams, the ratio of end span length and intermediate span length, is (A) 0.6 (B) 0.7 (C) 0.8 (D) 0.9

Description : For a continuous floor slab supported on beams, the ratio of end span length and intermediate span length, is (A) 0.6 (B) 0.7 (C) 0.8 (D) 0.9

Last Answer : Answer: Option D

The floor slab of a building is supported on reinforced cement floor beams. The ratio of the end and intermediate span is kept. (a) 0.7 (b) 0.8 (c) 0.9 (d) 0.6

Description : The floor slab of a building is supported on reinforced cement floor beams. The ratio of the end and intermediate span is kept. (a) 0.7 (b) 0.8 (c) 0.9 (d) 0.6

Last Answer : (c) 0.9

The breadth of the flange of a T-beam is (a) 1/3rd of the effective span of the T-beam (b) Twelve times the depth of slab plus breadth of rib. (c) Centre to centre distance between the adjacent beam. (d) Least of (a) , (b) or (c)

Description : The breadth of the flange of a T-beam is (a) 1/3rd of the effective span of the T-beam (b) Twelve times the depth of slab plus breadth of rib. (c) Centre to centre distance between the adjacent beam. (d) Least of (a) , (b) or (c)

Last Answer : (d) Least of (a) , (b) or (c)

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

Principle of superposition is applicable when (A) Deflections are linear functions of applied forces (B) Material obeys Hooke's law (C) The action of applied forces will be affected by small deformations of the structure (D) None of the above

Description : Principle of superposition is applicable when (A) Deflections are linear functions of applied forces (B) Material obeys Hooke's law (C) The action of applied forces will be affected by small deformations of the structure (D) None of the above

Last Answer : (A) Deflections are linear functions of applied forces

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

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 

.Deflections due to shear is significant in a.Long beams b.Short beams. c.Long as well as short bemas. d.None.

Description : .Deflections due to shear is significant in a.Long beams b.Short beams. c.Long as well as short bemas. d.None.

Last Answer : b.Short beams.