How to calculate the load capacity of a beam.

I have a wooden beam 10cm x 10cm x length 2 meters. Will it carry 200 KG in the middle?
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Answer :

Kukni na http://mve.energetika.cz/uzitecnetabulky/bremeno-na-nosniku.htm ... 10x10 cm, if it does not have large knots or other defects, it can carry about 300 kg in the middle (with supports on the edges).
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Last Answer : A ( Wl 3 ) /(192 EI)

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 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 

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Last Answer : (B) L/3 

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

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Last Answer : (D) 200/E

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Last Answer : (D) 1/16 

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

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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Last Answer : (A) A uniformly distributed load w/unit length 

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

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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

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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 

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 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

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Last Answer : (D) 8/5 

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

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 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

Description : 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

Last Answer : (D) 8/3

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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Last Answer : (B) 3WL/2fd²

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

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

The number of points of contraflexure in a simple supported beam carrying uniformly distributed load, is (A) 0 (B) 1 (C) 2 (D) 3

Description : The number of points of contraflexure in a simple supported beam carrying uniformly distributed load, is (A) 0 (B) 1 (C) 2 (D) 3

Last Answer : (A) 0

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

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

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 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

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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Last Answer : (A) l = 2a

The shape of the bending moment diagram over the length of a beam, having no external load, is always (A) Linear (B) Parabolic (C) Cubical (D) Circular

Description : The shape of the bending moment diagram over the length of a beam, having no external load, is always (A) Linear (B) Parabolic (C) Cubical (D) Circular

Last Answer : (A) Linear

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

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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Last Answer : (D) (b/d)2

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 

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

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

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

Last Answer : (B) Parabolic 

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

Description : 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 

Last Answer : (C) Cubical 

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 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

Last Answer : (A) l > 2a

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 cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio of (A) 8 (B) 1/8 (C) 1/2 (D) 3

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Last Answer : (C) 1/2 

A diagram which shows the variations of the axial load for all sections of the span of a beam, is called (A) Bending moment diagram (B) Shear force diagram (C) Thrust diagram (D) Stress diagram

Description : A diagram which shows the variations of the axial load for all sections of the span of a beam, is called (A) Bending moment diagram (B) Shear force diagram (C) Thrust diagram (D) Stress diagram

Last Answer : Answer: Option C

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

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