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

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

by

1 Answer

Answer :

(C) (L/2d)

by

Related questions

The deflection of a uniform circular bar of diameter d and length , which extends by an amount under a tensile pull , when it carries the same load at its mid-span, is (A) el/2d (B) e²l/3d² (C) el²/3d² (D) e²l²/3d

Description : The deflection of a uniform circular bar of diameter d and length , which extends by an  amount under a tensile pull , when it carries the same load at its mid-span, is  (A) el/2d (B) e²l/3d² (C) el²/3d² (D) e²l²/3d

Last Answer : (C) el²/3d

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 

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 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

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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.

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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.

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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 8 metre long simply supported rectangular beam which carries a distributed load 45 kg/m. experiences a maximum fibre stress 160 kg/cm2 . If the moment of inertia of the beam is 640 cm4 , the overall depth of the beam is (A) 10 cm (B) 12 cm (C) 15 cm (D) 18 cm

Description : A 8 metre long simply supported rectangular beam which carries a distributed load 45 kg/m. experiences a maximum fibre stress 160 kg/cm2 . If the moment of inertia of the beam is 640 cm4 , the overall depth of the beam is (A) 10 cm (B) 12 cm (C) 15 cm (D) 18 cm

Last Answer : (A) 10 cm

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

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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 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.

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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

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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 

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If W is total load per unit area on a panel, D is the diameter of the column head, L is the span in two directions, then the sum of the maximum positive bending moment and average of the negative bending moment for the design of the span of a square flat slab, should not be less than (A) WL/12 (L - 2D/3)² (B) WL/10 (L + 2D/3)² (C) WL/10 (L - 2D/3)² (D) WL/12 (L - D/3)²

Description : If W is total load per unit area on a panel, D is the diameter of the column head, L is the span in two directions, then the sum of the maximum positive bending moment and average of the negative bending moment for the design of the span ... (L + 2D/3)² (C) WL/10 (L - 2D/3)² (D) WL/12 (L - D/3)²

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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 

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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 

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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

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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 

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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

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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

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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 

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

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A simply supported beam 6 m long and of effective depth 50 cm, carries a uniformly distributed load 2400 kg/m including its self weight. If the lever arm factor is 0.85 and permissible tensile stress of steel is 1400 kg/cm2 , the area of steel required, is (A) 14 cm(B) 15 cm2(C) 16 cm2(D) 17 cm

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Last Answer : Answer: Option C

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

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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

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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

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If l1 and l2 are the lengths of long and short spans of a two way slab simply supported on four edges and carrying a load w per unit area, the ratio of the loads split into w1 and w2acting on strips parallel to l2 and l1 is (A) w1/w2 = l2/l1 (B) w1/w2 = (l2/l1)² (C) w1/w2 = (l2/l1)3 (D) w1/w2 = (l2/l1)

Description : If l1 and l2 are the lengths of long and short spans of a two way slab simply supported on four edges and carrying a load w per unit area, the ratio of the loads split into w1 and w2acting on strips parallel to l2 and l1 is (A) ... l1 (B) w1/w2 = (l2/l1)² (C) w1/w2 = (l2/l1)3 (D) w1/w2 = (l2/l1)

Last Answer : Answer: Option D

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

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 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

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

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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

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 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

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Last Answer : (A) 0.207 

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

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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)

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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

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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

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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

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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

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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

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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

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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

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The maximum ratio of span to depth of a slab simply supported and spanning in two directions, is (A) 25 (B) 30 (C) 35 (D) 40

Description : The maximum ratio of span to depth of a slab simply supported and spanning in two directions, is (A) 25 (B) 30 (C) 35 (D) 40

Last Answer : Answer: Option C

The maximum ratio of span to depth of a slab simply supported and spanning in one direction, is (A) 35 (B) 25 (C) 30 (D) 20

Description : The maximum ratio of span to depth of a slab simply supported and spanning in one direction, is (A) 35 (B) 25 (C) 30 (D) 20

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The maximum ratio of span to depth of a slab simply supported and spanning in one direction is (a) 35 (b) 25 (c) 30 (d) 20

Description : The maximum ratio of span to depth of a slab simply supported and spanning in one direction is (a) 35 (b) 25 (c) 30 (d) 20

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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

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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

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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

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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