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

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
by

1 Answer

Answer :

(B) 3WL/2fd²
by

Related questions

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

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

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Last Answer : (C) (L/2d)

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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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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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

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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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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

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

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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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

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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 

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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

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Last Answer : (D) WL/32

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 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

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A uniformly distributed load of 20 kN/m acts on a simply supported beam of rectangular cross section of width 20 mm and depth 60 mm. What is the maximum bending stress acting on the beam of 5m? a. 5030 Mpa b. 5208 Mpa c. 6600 Mpa d. Insufficient data

Description : A uniformly distributed load of 20 kN/m acts on a simply supported beam of rectangular cross section of width 20 mm and depth 60 mm. What is the maximum bending stress acting on the beam of 5m? a. 5030 Mpa b. 5208 Mpa c. 6600 Mpa d. Insufficient data

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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

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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

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Last Answer : (a) Wl/8 or wl2/8 at the mid-point

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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Elongation of a bar of uniform cross section of length ‘L’, due to its own weight ‘W’ is given by a. 2WL/E b. WL/E c. WL/2E d. WL/3E Where, E=Young’s modulus of elasticity of material

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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

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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

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

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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

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Last Answer : (B) 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.

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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

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 

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 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.

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 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

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

Description : 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 ... area of steel required, is (A) 14 cm (B) 15 cm2 (C) 16 cm2 (D) 17 cm

Last Answer : Answer: Option C

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

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

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 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 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 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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Last Answer : (D) All the above

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.

While testing a cast iron beam (2.5 cm × 2.5 cm) in section and a metre long simply supported at the ends failed when a 100 kg weight is applied at the centre. The maximum stress induced is: (A) 960 kg/cm2 (B) 980 kg/cm2 (C) 1000 kg/cm2 (D) 1200 kg/cm2 Answer: Option

Description : While testing a cast iron beam (2.5 cm × 2.5 cm) in section and a metre long simply supported at  the ends failed when a 100 kg weight is applied at the centre. The maximum stress induced is:  (A) 960 kg/cm2 (B) 980 kg/cm2 (C) 1000 kg/cm2 (D) 1200 kg/c

Last Answer : (A) 960 kg/cm

A simply supported wooden beam 150 cm long and having a cross section 16 cm × 24 cm carries a concentrated load, at the centre. If the permissible stress ft = 75 kg/cm2 and fs= 10 kg/cm2 the safe load is (A) 3025 kg (B) 3050 kg (C) 3075 kg (D) 3100 kg

Description : A simply supported wooden beam 150 cm long and having a cross section 16 cm × 24 cm carries a  concentrated load, at the centre. If the permissible stress ft = 75 kg/cm2  and fs= 10 kg/cm2  the safe  load is  (A) 3025 kg  (B) 3050 kg  (C) 3075 kg  (D) 3100 kg 

Last Answer : (C) 3075 kg 

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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Last Answer : (D) All the above 

For beams of uniform strength, if depth is constant, (A) Width b M (B) Width b M (C) Width b 3 M (D) Width b 1/M

Description : For beams of uniform strength, if depth is constant,  (A) Width b M (B) Width b M (C) Width b 3 M (D) Width b 1/M

Last Answer : (A) Width b M

Which one of the following is the correct ratio of plastic moment to yield moment for a simply supported beam of uniform square cross section throughout the span (a) 1.5 (b) 1.7 (c) 2.0 (d) 2.34

Description : Which one of the following is the correct ratio of plastic moment to yield moment for a simply supported beam of uniform square cross section throughout the span (a) 1.5 (b) 1.7 (c) 2.0 (d) 2.34

Last Answer : (a) 1.5

If the maximum shear stress at the end of a simply supported R.C.C. beam of 16 m effective span is 10 kg/cm2 , the length of the beam having nominal reinforcement, is (A) 8 cm (B) 6 m (C) 8 m (D) 10 m

Description : If the maximum shear stress at the end of a simply supported R.C.C. beam of 16 m effective span is 10 kg/cm2 , the length of the beam having nominal reinforcement, is (A) 8 cm (B) 6 m (C) 8 m (D) 10 m

Last Answer : Answer: Option C

An R.C.C. beam of 25 cm width and 50 cm effective depth has a clear span of 6 metres and carries a U.D.L. of 3000 kg/m inclusive of its self weight. If the lever arm constant for the section is 0.865, the maximum intensity of shear stress, is (A) 8.3 kg/cm2 (B) 7.6 kg/cm2 (C) 21.5 kg/cm2 (D) 11.4 kg/cm2

Description : An R.C.C. beam of 25 cm width and 50 cm effective depth has a clear span of 6 metres and carries a U.D.L. of 3000 kg/m inclusive of its self weight. If the lever arm constant for the section is 0.865, the maximum intensity ... , is (A) 8.3 kg/cm2 (B) 7.6 kg/cm2 (C) 21.5 kg/cm2 (D) 11.4 kg/cm2

Last Answer : Answer: Option A

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

For the design of a simply supported T-beam the ratio of the effective span to the overall depth of the beam is limited to (A) 10 (B) 15 (C) 20 (D) 25

Description : For the design of a simply supported T-beam the ratio of the effective span to the overall depth of the beam is limited to (A) 10 (B) 15 (C) 20 (D) 25

Last Answer : Answer: Option C

For normal cases, stiffness of a simply supported beam is satisfied if the ratio of its span to its overall depth does not exceed (A) 10 (B) 15 (C) 20 (D) 25

Description : For normal cases, stiffness of a simply supported beam is satisfied if the ratio of its span to its overall depth does not exceed (A) 10 (B) 15 (C) 20 (D) 25

Last Answer : Answer: Option C