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

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

by

1 Answer

Answer :

(D) WL3

/48EL

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

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 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 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

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 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

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

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

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)

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

A simply supported beam carrying a uniformly distributed load over its whole span, is propped at the centre of the span so that the beam is held to the level of the end supports. The reaction of the prop will be (A) Half the distributed load (B) 3/8th the distributed load (C) 5/8th the distributed load (D) Distributed load

Description : A simply supported beam carrying a uniformly distributed load over its whole span, is propped at  the centre of the span so that the beam is held to the level of the end supports. The reaction of  ... B) 3/8th the distributed load  (C) 5/8th the distributed load  (D) Distributed load 

Last Answer : (C) 5/8th the distributed load 

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

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 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.

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.

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

The section modulus of a rectangular light beam 25 metres long is 12.500 cm3 . The beam is simply supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a point load of 4 tonnes at the centre. The maximum stress in the bottom most fibre at the mid span section, is (A) 13.33 kg/cm2 tensile (B) 13.33 kg/cm2 compressive (C) 26.67 kg/cm2 tensile (D) 26.67 kg/cm2 compressive

Description : The section modulus of a rectangular light beam 25 metres long is 12.500 cm3 . The beam is simply supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a point load of ... 13.33 kg/cm2 compressive (C) 26.67 kg/cm2 tensile (D) 26.67 kg/cm2 compressive

Last Answer : (C) 26.67 kg/cm2 tensile

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 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

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.

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 cantilever carries is uniformly distributed load W over its whole length and a force W acts at its free end upward. The net deflection of the free end will be (A) Zero (B) (5/24) (WL3 /EI) upward (C) (5/24) (WL3 /EI) downward (D) None of these

Description : A cantilever carries is uniformly distributed load W over its whole length and a force W acts at its  free end upward. The net deflection of the free end will be  (A) Zero  (B) (5/24) (WL3 /EI) upward  (C) (5/24) (WL3 /EI) downward  (D) None of these 

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

A 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 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

What is the distance away from midspan of a plastic hinge if developing in a simply supported beam of rectangular cross-section and span 6 m, subjected to a point load at the centre? (a) Zero (b) 1 m (c) 2 m (d) 3 m

Description : What is the distance away from midspan of a plastic hinge if developing in a simply supported beam of rectangular cross-section and span 6 m, subjected to a point load at the centre? (a) Zero (b) 1 m (c) 2 m (d) 3 m

Last Answer : (a) Zero

A simply supported beam AB is subjected to a concentrated load at C, the centre of the span. The area of the SF diagram from A to C will give a) BM at C b) Load at S c) SF at C d)Difference between BM values at A and C

Description : A simply supported beam AB is subjected to a concentrated load at C, the centre of the span. The area of the SF diagram from A to C will give a) BM at C b) Load at S c) SF at C d)Difference between BM values at A and C

Last Answer : d)Difference between BM values at A and C

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 

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

In a simply supported beam carrying a uniformly distributed load over the left half span, the point of contraflexure will occur in (a) Left half span of the beam (b) Right half span of the beam. (c) Quarter points of the beam (d) Does not exist

Description : In a simply supported beam carrying a uniformly distributed load over the left half span, the point of contraflexure will occur in (a) Left half span of the beam (b) Right half span of the beam. (c) Quarter points of the beam (d) Does not exist

Last Answer : (d) Does not exist

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

For the same span and loads fixed beam in comparison with simply supported beams has a. lesser value of maximum deflection b. more value of maximum deflecction c.twice the value of maximum deflecction d.same value of maximum deflecction

Description : For the same span and loads fixed beam in comparison with simply supported beams has a. lesser value of maximum deflection b. more value of maximum deflecction c.twice the value of maximum deflecction d.same value of maximum deflecction

Last Answer : a. lesser value of maximum deflection

For a simply supported beam of span 15 m, the minimum effective depth to satisfy the vertical deflection limits should be (A) 600 mm (B) 750 mm (C) 900 mm (D) More than 1 m

Description : For a simply supported beam of span 15 m, the minimum effective depth to satisfy the vertical deflection limits should be (A) 600 mm (B) 750 mm (C) 900 mm (D) More than 1 m

Last Answer : Answer: Option B

Basic value of span to depth ratio for simply supported beam to control deflection is [ A ] 7 [ B ] 20 [ C ] 26 [ D ] 35

Description : Basic value of span to depth ratio for simply supported beam to control deflection is [ A ] 7 [ B ] 20 [ C ] 26 [ D ] 35

Last Answer : [ B ] 20

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 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 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

The maximum bending moment due to a moving load on a simply supported beam, occurs (A) At the mid span (B) At the supports (C) Under the load (D) Anywhere on the beam

Description : The maximum bending moment due to a moving load on a simply supported beam, occurs (A) At the mid span (B) At the supports (C) Under the load (D) Anywhere on the beam

Last Answer : (C) Under the load

A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is (A) 411 N mm (B) 511 N mm (C) 611 N mm (D) 711 N mm

Description : A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a  load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending  strain energy stored in the ... (A) 411 N mm  (B) 511 N mm  (C) 611 N mm  (D) 711 N mm 

Last Answer : (C) 611 N mm 

When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when (A) The centre of gravity of the load system is midway between the centre of span and wheel load under consideration (B) The centre of span is midway between the centre of gravity of the load system and the wheel load under consideration (C) The wheel load under consideration is midway between the centre of span and the centre of gravity of the load system (D) None of the above

Description : When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when (A) The centre of gravity of the load system is midway between the centre of ... the centre of span and the centre of gravity of the load system (D) None of the above

Last Answer : (B) The centre of span is midway between the centre of gravity of the load system and the wheel load under consideration

The maximum bending moment due to a train of wheel loads on a simply supported girder (A) Always occurs at centre of span (B) Always occurs under a wheel load (C) Never occurs under a wheel load (D) None of the above

Description : The maximum bending moment due to a train of wheel loads on a simply supported girder (A) Always occurs at centre of span (B) Always occurs under a wheel load (C) Never occurs under a wheel load (D) None of the above

Last Answer : (B) Always occurs under a wheel 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

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

A concentrated load P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by (a) PL/3 (b) 2PL/3 (c) PL/9 (d) 2PL/9

Description : A concentrated load P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by (a) PL/3 (b) 2PL/3 (c) PL/9 (d) 2PL/9

Last Answer : (d) 2PL/9

Design of R.C.C. simply supported beams carrying U.D.L. is based on the resultant B.M. at (A) Supports (B) Mid span (C) Every section (D) Quarter span

Description : Design of R.C.C. simply supported beams carrying U.D.L. is based on the resultant B.M. at (A) Supports (B) Mid span (C) Every section (D) Quarter span

Last Answer : Answer: Option B

For a simply supported beam of span L, loaded with U.D.L. w/m over the whole span, the maximum B.M will be (a) wL/4 (b) wL2 /8 (c) wL2 /4 (d) WwL2 /2

Description : For a simply supported beam of span L, loaded with U.D.L. w/m over the whole span, the maximum B.M will be (a) wL/4 (b) wL2 /8 (c) wL2 /4 (d) WwL2 /2

Last Answer : (b) wL2

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