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

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

by

1 Answer

Answer :

(D) 200/E

by

Related questions

A three hinged parabolic arch hinged at the crown and springing, has a horizontal span of 4.8 m and a central rise of 1 m. It carries a uniformly distributed load of 0.75 tonne per metre over half left hand span. The horizontal thrust at the support will be (A) 10.8 tonnes (B) 1.08 tonnes (C) 1.8 tonnes (D) 0.8 tonnes

Description : A three hinged parabolic arch hinged at the crown and springing, has a horizontal span of 4.8 m  and a central rise of 1 m. It carries a uniformly distributed load of 0.75 tonne per metre over half  left hand span ... A) 10.8 tonnes  (B) 1.08 tonnes  (C) 1.8 tonnes  (D) 0.8 tonnes 

Last Answer : (B) 1.08 tonnes 

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

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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.

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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

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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

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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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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

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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

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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

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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

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An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is (A) Wa/h (B) Wa/2h(C) 2W/ha(D) 2h/W

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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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Last Answer : (D) All the above 

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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

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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 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

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If a rectangular beam measuring 10 × 18 × 400 cm carries a uniformly distributed load such that the bending stress developed is 100 kg/cm2 . The intensity of the load per metre length, is (A) 240 kg (B) 250 kg (C) 260 kg (D) 270 kg

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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

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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

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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.

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If the maximum shear stress at the end of a simply supported R.C.C. beam of 6 m effective span is 10 kg/cm2 , the share stirrups are provided for a distance from either end where, is (A) 50 cm (B) 100 cm(C) 150 cm (D) 200 cm

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If depth of slab is 10 cm, width of web 30 cm, depth of web 50 cm, centre to centre distance of beams 3 m, effective span of beams 6 m, the effective flange width of the beam, is (A) 200 cm (B) 300 cm (C) 150 cm (D) 100 cm

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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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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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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 

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 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

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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

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

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)

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Last Answer : Option A

The rise of a parabolic arch at quarter points, is equal to (A) 1/3 times the rise of the crown (B) 1/4 times the rise of the crown (C) 1/2 times the rise of the crown (D) 3/4 times the rise of the crown

Description : The rise of a parabolic arch at quarter points, is equal to (A) 1/3 times the rise of the crown (B) 1/4 times the rise of the crown (C) 1/2 times the rise of the crown (D) 3/4 times the rise of the crown

Last Answer : (D) 3/4 times the rise of the crown

A simply supported rectangular beam is uniformly loaded and is prestressed. The tendon provided for prestressing should be (a) Straight, above centroidal axis (b) Straight, below centroidal axis (c) parabolic, with convexity upward (d) Parabolic, with convexity downward

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Last Answer : (d) Parabolic, with convexity downward

In a three hinged arch, the shear force is usually (A) Maximum at crown(B) Maximum at springing (C) Maximum at quarter points (D) Varies with slope

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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 

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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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 equation of a parabolic arch of span and rise , is given by (A) y = h/l² × (1 - x) (B) y = 2h/l² × (1 - x) (C) y = 3h/l² × (1 - x) (D) y = 4h/l² × (1 - x)

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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

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Last Answer : a.0.00326 rad

If the loading on a pre-stressed rectangular beam, is uniformly distributed, the tendon to be provided should be. (A) Straight below centroidal axis (B) Parabolic with convexity downward (C) Parabolic with convexity upward (D) Straight above centroidal axis

Description : If the loading on a pre-stressed rectangular beam, is uniformly distributed, the tendon to be provided should be. (A) Straight below centroidal axis (B) Parabolic with convexity downward (C) Parabolic with convexity upward (D) Straight above centroidal axis

Last Answer : Answer: Option B

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

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Last Answer : Answer: Option D

The shape of the bending moment diagram over the length of a beam, carrying a uniformly increasing load, is always (A) Linear (B) Parabolic (C) Cubical (D) Circular

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Last Answer : (C) Cubical 

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 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

Pick up the correct statement from the following: (A) For a uniformly distributed load, the shear force varies linearly (B) For a uniformly distributed load, B.M. curve is a parabola (C) For a load varying linearly, the shear force curve is a parabola (D) All the above

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Last Answer : (D) All the above 

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

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Last Answer : (d) Does not exist

If a rectangular pre-stressed beam of an effective span of 5 meters and carrying a total load 3840 kg/m, is designed by the load balancing method, the central dip of the parabolic tendon should be (A) 5 cm (B) 10 cm (C) 15 cm (D) 20 cm

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Last Answer : Answer: Option B