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

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
by

1 Answer

Answer :

(C) WL3
/48EI
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 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 maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is (A) WL²/2EI (B) WL²/3EI (C) WL3 /2EI (D) WL3 /3EI

Description : The maximum deflection due to a load W at the free end of a cantilever of length L and having  flexural rigidity EI, is  (A) WL²/2EI (B) WL²/3EI (C) WL3 /2EI (D) WL3 /3EI

Last Answer : (D) WL3 /3EI

The maximum deflection 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

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 

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)

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

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

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

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

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

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

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

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.

In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is (A) L/2 (B) L/3 (C) L/4 (D) L/5

Description : In case of a simply supported rectangular beam of span L and loaded with a central load W, the  length of elasto-plastic zone of the plastic hinge, is  (A) L/2  (B) L/3  (C) L/4  (D) L/5 

Last Answer : (B) L/3 

In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is (A) L/2 (B) L/3 (C) L/4 (D) L/5

Description : In case of a simply supported I-section beam of span L and loaded with a central load W, the  length of elasto-plastic zone of the plastic hinge, is  (A) L/2  (B) L/3  (C) L/4  (D) L/5 

Last Answer : (D) L/5 

The width of a beam of uniform strength having a constant depth d length L, simply supported at the ends with a central load W is (A) 2WL/3fd² (B) 3WL/2fd² (C) 2fL/3Wd 4 (D) 3fL²/2Wd

Description : The width of a beam of uniform strength having a constant depth d length L, simply supported at the ends with a central load W is (A) 2WL/3fd² (B) 3WL/2fd² (C) 2fL/3Wd 4 (D) 3fL²/2Wd

Last Answer : (B) 3WL/2fd²

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)

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

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 

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

If the width b and depth d of a beam simply supported with a central load are interchanged, the deflection at the centre of the beam will be changed in the ratio of (A) b/d (B) d/b (C) (d/b)2 (D) (b/d)

Description : If the width b and depth d of a beam simply supported with a central load are interchanged, the  deflection at the centre of the beam will be changed in the ratio of  (A) b/d (B) d/b (C) (d/b)2 (D) (b/d)

Last Answer : (D) (b/d)2

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

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 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 simply supported beam of span L carries a concentrated load W at its mid-span. The maximum bending moment M is (A) WL/2 (B) WL/4 (C) WL/8 (D) WL/12

Description : A simply supported beam of span L carries a concentrated load W at its mid-span. The maximum  bending moment M is  (A) WL/2  (B) WL/4  (C) WL/8  (D) WL/12

Last Answer : (B) WL/4

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 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 

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 fixed beam with midpoint load point, maximum deflection at the centre is a.PL3/ 192EI b.PL2/ 48EI c.PL4/ 192EI d.PL3/ 48EI

Description : For a fixed beam with midpoint load point, maximum deflection at the centre is a.PL3/ 192EI b.PL2/ 48EI c.PL4/ 192EI d.PL3/ 48EI

Last Answer : a.PL3/ 192EI

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

A simply supported beam (l + 2a) with equal overhangs (a) carries a uniformly distributed load over the whole length, the B.M. changes sign if (A) l > 2a (B) l < 2a (C) l = 2a (D) l = 4a

Description : A simply supported beam (l + 2a) with equal overhangs (a) carries a uniformly distributed load  over the whole length, the B.M. changes sign if  (A) l > 2a (B) l < 2a (C) l = 2a (D) l = 4a

Last Answer : (A) l > 2a

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.

For a simply supported beam of span L, with point load W at the centre, the maximum B.M. will be (a) WL (b) WL/2 (c) WL/4 (d) WL/8

Description : For a simply supported beam of span L, with point load W at the centre, the maximum B.M. will be (a) WL (b) WL/2 (c) WL/4 (d) WL/8

Last Answer : (c) WL/4

A beam 3m long simply supported at its ends ,is carrying a point load W at the centre.If the slope at the ends of the beam should not exceed 10,find the deflection at the centre of beam? a.18.41 mm b.13.45 mm c.17.45 mm d.21.67 mm.

Description : A beam 3m long simply supported at its ends ,is carrying a point load W at the centre.If the slope at the ends of the beam should not exceed 10,find the deflection at the centre of beam? a.18.41 mm b.13.45 mm c.17.45 mm d.21.67 mm.

Last Answer : c.17.45 mm

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 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.

A simply supported beam deflects by 5 mm when it is subjected to a concentrated load of 10 kN at its centre. What will be deflection in a 1/10 model of the beam if the model is subjected to a 1 kN load at its centre? (A) 5 mm (B) 0.5 mm (C) 0.05 mm (D) 0.005 mm

Description : A simply supported beam deflects by 5 mm when it is subjected to a concentrated load of 10 kN at its centre. What will be deflection in a 1/10 model of the beam if the model is subjected to a 1 kN load at its centre? (A) 5 mm (B) 0.5 mm (C) 0.05 mm (D) 0.005 mm

Last Answer : (A) 5 mm

If the width of a simply supported beam carrying an isolated load at its centre is doubled, the deflection of the beam at the centre is changed by (A) 1/2 (B) 1/8 (C) 2 (D) 8

Description : If the width of a simply supported beam carrying an isolated load at its centre is doubled, the deflection of the beam at the centre is changed by (A) 1/2 (B) 1/8 (C) 2 (D) 8

Last Answer : (A) 1/2

If the width of a simply supported beam carrying an isolated load at its centre is doubled, the deflection of the beam at the centre is changed by (A) 2 times (B) 4 times (C) 8 times (D) 1/2 times

Description : If the width of a simply supported beam carrying an isolated load at its centre is doubled, the deflection of the beam at the centre is changed by (A) 2 times (B) 4 times (C) 8 times (D) 1/2 times

Last Answer : (C) 8 times

If the depth of a simply supported beam carrying an isolated load at its centre, is doubled, the deflection of the beam at the centre will be changed by a factor of (A) 2 (B) 1/2 (C) 8 (D) 1/8

Description : If the depth of a simply supported beam carrying an isolated load at its centre, is doubled, the deflection of the beam at the centre will be changed by a factor of (A) 2 (B) 1/2 (C) 8 (D) 1/8

Last Answer : (D) 1/8

For a simply supported beam with a central load, the bending moment is (A) Least at the centre (B) Least at the supports (C) Maximum at the supports (D) Maximum at the centre

Description : For a simply supported beam with a central load, the bending moment is  (A) Least at the centre  (B) Least at the supports  (C) Maximum at the supports  (D) Maximum at the centre

Last Answer : (D) Maximum at the centre

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 deflection of any rectangular beam simply supported, is (A) Directly proportional to its weight (B) Inversely proportional to its width (C) Inversely proportional to the cube of its depth (D) Directly proportional to the cube of its length

Description : The deflection of any rectangular beam simply supported, is (A) Directly proportional to its weight (B) Inversely proportional to its width (C) Inversely proportional to the cube of its depth (D) Directly proportional to the cube of its length

Last Answer : (C) Inversely proportional to the cube of its depth

A simply supported beam carries two equal concentrated loads W at distances L/3 from either support. The maximum bending moment (A) WL/3 (B) WL/4 (C) 5WL/4 (D) 3WL/12

Description : A simply supported beam carries two equal concentrated loads W at distances L/3 from either support. The maximum bending moment (A) WL/3 (B) WL/4 (C) 5WL/4 (D) 3WL/12

Last Answer : (A) WL/3

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 simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is (A) 0.207 (B) 0.307 (C) 0.407 (D) 0.508

Description : A simply supported beam which carries a uniformly distributed load has two equal overhangs. To  have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang  to the total length of the beam, is  (A) 0.207  (B) 0.307  (C) 0.407  (D) 0.508 

Last Answer : (A) 0.207 

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 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

For stairs spanning l metres longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is (A) wl²/4 (B) wl²/8 (C) wl²/12 (D) wl²/16

Description : For stairs spanning l metres longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is (A) wl²/4 (B) wl²/8 (C) wl²/12 (D) wl²/16

Last Answer : Answer: Option D

A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is (A) WL/2AE (B) WL/AE (C) W²L/AE (D) W²L/2AE

Description : A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile  load W. The strain energy stored in the bar is  (A) WL/2AE (B) WL/AE (C) W²L/AE (D) W²L/2AE

Last Answer : (D) W²L/2AE

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