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

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

by

1 Answer

Answer :

(C) wl4

/8EI

by

Related questions

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 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

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 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

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

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 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

Last Answer : (C) WL3 /48EI

The maximum deflection of (A) A simply supported beam carrying a uniformly increasing load from either end and having the apex at the mid span is WL3 /60EI (B) A fixed ended beam carrying a distributed load over the span is WL3 /384EI (C) A fixed ended beam carrying a concentrated load at the mid span is WL3 /192EI (D) All the above

Description : The maximum deflection of  (A) A simply supported beam carrying a uniformly increasing load from either end and having  the apex at the mid span is WL3 /60EI (B) A fixed ended beam ... ended beam carrying a concentrated load at the mid span is WL3 /192EI (D) All the above 

Last Answer : (D) All the above 

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

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

If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span, (A) Horizontal thrust is wl2 /8h (B) S.F. will be zero throughout (C) B.M. will be zero throughout (D) All the above

Description : If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit  length over the entire span,  (A) Horizontal thrust is wl2 /8h (B) S.F. will be zero throughout  (C) B.M. will be zero throughout  (D) All the above 

Last Answer : (D) All the above 

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

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 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

Maximum slope in a S.S beam with UDL w at the entire span will be a. wl3/ 16EI. b.wl3/ 24EI. c. wl3/ 48 EI. d.None

Description : Maximum slope in a S.S beam with UDL w at the entire span will be a. wl3/ 16EI. b.wl3/ 24EI. c. wl3/ 48 EI. d.None

Last Answer : b.wl3/ 24EI.

A beam of uniform rectangular section 200 mm wide and 300mm deep is simply supported at its ends.It carries a uniformly distributed load of 9KN/m run over the entire span of 5m.If E=1×104 N/mm2, what is the maximum deflection? a.14.26 mm b.17.28 mm c.18.53 mm d.16.27 mm.

Description : A beam of uniform rectangular section 200 mm wide and 300mm deep is simply supported at its ends.It carries a uniformly distributed load of 9KN/m run over the entire span of 5m.If E=1×104 N/mm2, what is the maximum deflection? a.14.26 mm b.17.28 mm c.18.53 mm d.16.27 mm.

Last Answer : d.16.27 mm.

The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch). (A) 50/EIc (B) 100/EIc (C) 150/EIc (D) 200/E

Description : The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with  a uniformly distributed load l t per horizontal length is (where Ic  is the M.I. at the crown, which  varies as the slope ... arch).  (A) 50/EIc (B) 100/EIc (C) 150/EIc (D) 200/E

Last Answer : (D) 200/E

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 

The shear force at the centre of a simply supported beam of span l carrying a uniformly distributed load of w per unit length over the whole span is (a) wl (b) wl/2 (c) wl/4 (d) Zero

Description : The shear force at the centre of a simply supported beam of span l carrying a uniformly distributed load of w per unit length over the whole span is (a) wl (b) wl/2 (c) wl/4 (d) Zero

Last Answer : (d) Zero

For a simply supported beam carrying uniformly distributed load W on it entire length L, the maximum bending moment is (A) WL/4 (B) WL/8 (C) WL/2 (D) WL/3

Description : For a simply supported beam carrying uniformly distributed load W on it entire length L, the maximum bending moment is (A) WL/4 (B) WL/8 (C) WL/2 (D) WL/3

Last Answer : (B) WL/8

A simply supported beam carries a uniformly distributed load over the whole span.The deflection at the centre is y.If the distributed load per unit length is doubled and also depth of beam is doubled ,then the deflection at the centre would be a.2y b.4y c.y/2 d.y/4.

Description : A simply supported beam carries a uniformly distributed load over the whole span.The deflection at the centre is y.If the distributed load per unit length is doubled and also depth of beam is doubled ,then the deflection at the centre would be a.2y b.4y c.y/2 d.y/4.

Last Answer : d.y/4.

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

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

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

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

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 

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

For a fixed beam with UDL, maximum deflection is a.wL4/48EI b.wL4/192EI c. wL4/384EI d.wL3/192EI

Description : For a fixed beam with UDL, maximum deflection is a.wL4/48EI b.wL4/192EI c. wL4/384EI d.wL3/192EI

Last Answer : c. wL4/384EI

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 uniformly distributed load (w) of length shorter than the span crosses a girder. The bending moment at a section in the girder will be maximum when (a) Head of the load is at the section (b) Tail of the load is at the section (c) Section divides the load in the same ratio as it divides the span (d) Section divides the load in two equal lengths.

Description : A uniformly distributed load (w) of length shorter than the span crosses a girder. The bending moment at a section in the girder will be maximum when (a) Head of the load is at the section (b) Tail ... load in the same ratio as it divides the span (d) Section divides the load in two equal lengths.

Last Answer : (c) Section divides the load in the same ratio as it divides the span

In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if (A) l = 2a (B) l = 4a (C) l < 2a (D) l > a

Description : In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if (A) l = 2a (B) l = 4a (C) l < 2a (D) l > a

Last Answer : (A) l = 2a

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

A beam of length L supported on two intermediate rollers carries a uniformly distributed load on its entire length. If sagging B.M. and hogging B.M. of the beam are equal, the length of each overhang, is (A) 0.107 L (B) 0.207 L (C) 0.307 L(D) 0.407 L

Description : A beam of length L supported on two intermediate rollers carries a uniformly distributed load on its entire length. If sagging B.M. and hogging B.M. of the beam are equal, the length of each overhang, is (A) 0.107 L (B) 0.207 L (C) 0.307 L(D) 0.407 L

Last Answer : (B) 0.207 L

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 

Last Answer : (B) Rectangle 

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)

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

If a three hinged parabolic arch carries a uniformly distributed load on its entire span, every section of the arch resists. (A) Compressive force (B) Tensile force (C) Shear force (D) Bending moment

Description : If a three hinged parabolic arch carries a uniformly distributed load on its entire span, every section of the arch resists. (A) Compressive force (B) Tensile force (C) Shear force (D) Bending moment

Last Answer : (A) Compressive force

A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be, (A) 10 m (B) 12 m (C) 14 m (D) 16 m

Description : A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which  causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the  joist will be,  (A) 10 m  (B) 12 m  (C) 14 m  (D) 16 m 

Last Answer : (D) 16 m 

A simply supported beam is of rectangular section.It carries a uniformly distributed load over the whole span.The deflection at the centre is y.If the depth of beam is doubled ,the deflection at the centre would be a.2y b.4y c.y/2 d.y/8.

Description : A simply supported beam is of rectangular section.It carries a uniformly distributed load over the whole span.The deflection at the centre is y.If the depth of beam is doubled ,the deflection at the centre would be a.2y b.4y c.y/2 d.y/8.

Last Answer : d.y/8.

The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is (A) WI/2 (B) WI²/4 (C) WI²/8 (D) WI²/12

Description : The maximum bending moment for a simply supported beam with a uniformly distributed  load w/unit length, is  (A) WI/2  (B) WI²/4  (C) WI²/8  (D) WI²/12

Last Answer : (C) WI²/8 

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)

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 simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm2 , the depth of the joist, is (A) 200 mm (B) 250 mm (C) 300 mm (D) 400 mm

Description : A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so  that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the  value of E = 0.2 ... joist, is  (A) 200 mm  (B) 250 mm  (C) 300 mm  (D) 400 mm 

Last Answer : (D) 400 mm 

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 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.

A pile of length carrying a uniformly distributed load per metre length is suspended at the centre and from other two points 0.15 L from either end ; the maximum hogging moment will be (A) WL²/15 (B) WL²/30 (C) WL²/60 (D) WL²/90

Description : A pile of length carrying a uniformly distributed load per metre length is suspended at the centre and from other two points 0.15 L from either end ; the maximum hogging moment will be (A) WL²/15 (B) WL²/30 (C) WL²/60 (D) WL²/90

Last Answer : Answer: Option D

When a uniformly distributed load, shorter than the span of the girder, moves from left to right, then the conditions for maximum bending moment at a section is that (A) The head of the load reaches the section (B) The tail of the load reaches the section (C) The load position should be such that the section divides it equally on both sides (D) The load position should be such that the section divides the load in the same ratio as it divides the span

Description : When a uniformly distributed load, shorter than the span of the girder, moves from left to right, then the conditions for maximum bending moment at a section is that (A) The head of the load ... position should be such that the section divides the load in the same ratio as it divides the span

Last Answer : (D) The load position should be such that the section divides the load in the same ratio as it divides the span

When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies (A) Less than the left half span (B) Whole of left half span (C) More than the left half span (D) Whole span

Description : When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies (A) Less ... (B) Whole of left half span (C) More than the left half span (D) Whole span

Last Answer : (D) Whole span

A simply supported beam of span carries a uniformly distributed load . The maximum bending moment is (A) WL/2 (B) WL/4 (C) WL/8 (D) WL/12

Description : A simply supported beam of span carries a uniformly distributed load . The maximum bending moment is (A) WL/2 (B) WL/4 (C) WL/8 (D) WL/12

Last Answer : (C) WL/8

In a ring beam subjected to uniformly distributed load (i) Shear force at mid span is zero (ii) Shear force at mid span is maximum (iii) Torsion at mid span is zero (iv) Torsion at mid span is maximum The correct answer is (A) (i) and (iii) (B) (i) and (iv) (C) (ii) and (iii) (D) (ii) and (iv)

Description : In a ring beam subjected to uniformly distributed load (i) Shear force at mid span is zero (ii) Shear force at mid span is maximum (iii) Torsion at mid span is zero (iv) Torsion at mid span is maximum The correct answer ... and (iii) (B) (i) and (iv) (C) (ii) and (iii) (D) (ii) and (iv)

Last Answer : Option A