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

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
by

1 Answer

Answer :

(A) 5 mm
by

Related questions

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 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

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

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 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 

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

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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 

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 

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

Last Answer : b. 5208 Mpa

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

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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Last Answer : (a) Zero

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

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

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)

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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.

Last Answer : d.16.27 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 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.

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

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

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

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 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 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 

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 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

In a simply supported beam, bending moment at the end (a) Is always zero if it does not carry couple at the end (b) Is zero, if the beam has uniformly distributed load only (c) Is zero if the beam has concentrated loads only (d) May or may not be zero

Description : In a simply supported beam, bending moment at the end (a) Is always zero if it does not carry couple at the end (b) Is zero, if the beam has uniformly distributed load only (c) Is zero if the beam has concentrated loads only (d) May or may not be zero

Last Answer : (a) Is always zero if it does not carry couple at the end

For finding out the bending moment for the arm (spoke) of flywheel the arm is assumed as 1. a cantilever beam fixed at the rim and subjected to tangential force at the hub 2. a simply supported beam fixed at hub and rim and carrying uniformly distributed load 3. a cantilever hub fixed at the rim and subjected to tangential force at the rim 4. a fixed beam fixed at hub and rim and carrying uniformly distributed load

Description : For finding out the bending moment for the arm (spoke) of flywheel the arm is assumed as 1. a cantilever beam fixed at the rim and subjected to tangential force at the hub 2. a simply ... tangential force at the rim 4. a fixed beam fixed at hub and rim and carrying uniformly distributed load

Last Answer : 3. a cantilever hub fixed at the rim and subjected to tangential force at the rim

For finding out the bending moment for the arm (spoke) of flywheel, the arm is assumed as, (A) A cantilever beam fixed at the rim and subjected to tangential force at the hub (B) A simply supported beam fixed at hub and rim and carrying uniformly distributed load (C) A cantilever beam fixed at the hub and subjected to tangential force at the rim (D) A fixed beam fixed at hub and rim and carrying uniformly distributed load

Description : For finding out the bending moment for the arm (spoke) of flywheel, the arm is assumed as, (A) A cantilever beam fixed at the rim and subjected to tangential force at the hub (B) A simply ... tangential force at the rim (D) A fixed beam fixed at hub and rim and carrying uniformly distributed load

Last Answer : (C) A cantilever beam fixed at the hub and subjected to tangential force at the rim

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

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

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

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 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

An increase in temperature on the top fibre of a simply supported beam will cause (a) Downward deflection (b) Upward deflection (c) No deflection (d) Angular rotation about neutral axis

Description : An increase in temperature on the top fibre of a simply supported beam will cause (a) Downward deflection (b) Upward deflection (c) No deflection (d) Angular rotation about neutral axis

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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

Last Answer : [ B ] 20

When a simply supported beam is loaded with a point load at the centre, the maximum tensile stress is developed on the (a) Top fibre (b) Bottom fibre (c) Neutral axis (d) None of these

Description : When a simply supported beam is loaded with a point load at the centre, the maximum tensile stress is developed on the (a) Top fibre (b) Bottom fibre (c) Neutral axis (d) None of these

Last Answer : (b) Bottom fibre

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 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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A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is (A) M (B) M/2 (C) M/3 (D) ML/2

Description : A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of  moment M at its centre. The maximum bending moment in the beam is  (A) M (B) M/2  (C) M/3  (D) ML/2 

Last Answer : (A) M

Minimum cover for fire resistance for a given simply supported beam, when the fire rating is 1 hour--------- [ A ] 15 mm [ B ] 20 mm [ C ] 25 mm [ D ] 30 mm

Description : Minimum cover for fire resistance for a given simply supported beam, when the fire rating is 1 hour--------- [ A ] 15 mm [ B ] 20 mm [ C ] 25 mm [ D ] 30 mm

Last Answer : [ B ] 20 mm

Minimum cover for fire resistance for a given simply supported beam, when the fire rating is 1 hour--------- [ A ] 15 mm [ B ] 20 mm [ C ] 25 mm [ D ] 30 mm

Description : Minimum cover for fire resistance for a given simply supported beam, when the fire rating is 1 hour--------- [ A ] 15 mm [ B ] 20 mm [ C ] 25 mm [ D ] 30 mm

Last Answer : [ B ] 20 mm

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)

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

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 

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

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 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