Determine the load on beam:

A rectangular beam of width 200 mm and depth 300 mm is simply supported over a span of 5 m. determine the load that the beam may carry per metre length, if the allowable bending stress in the beam is 100 N/mm².

Solution

Width of beam, b = 200 mm

Depth of beam, d = 300 mm

Moment of inertia, I =(1/12) bd3

= (1/ 12) × 200 × (300)³ = 450 ×10⁶ mm⁴

Allowable bending stress, σ = 100 N/mm²

The distance of top or bottom layer, y =300/ 2 = 150 mm

We have, σ  = (M/ I) × y

100 = (M/ (450 ×10⁶) )× 150

∴          M = (450 × 10 ⁶ × 100) /150

= 300 × 10⁶ N mm = 300 kN m

Span of beam, l = 5 m

Maximum bending moment at centre for consistently distributed load,

M = wl ²/8

300 = (w × (5) 2)/8

∴          w = (300 × 8)/25

                  = 96 kN/m

 ∴         The load that the beam might carry is 96 kN/m.

Posted Date: 1/22/2013 12:22:13 AM | Location : United States

Ask an Expert

Related Discussions:- Determine the load on beam, Assignment Help, Ask Question on Determine the load on beam, Get Answer, Expert's Help, Determine the load on beam Discussions

Write discussion on Determine the load on beam
Your posts are moderated

Write your message here..

Related Questions

Determine a real root of the equation, Determine a real root of the equatio... Determine a real root of the equation xlog10 x = 1.2 by regula-falsi method correct to four decimal places.

What are the forces acting on foundations, What are the Forces Acting on Fo... What are the Forces Acting on Foundations Foundations are normally subjected to vertical loads which are resisted by compressive stress generated in the soil. However, the acti

Illustrate dynamically equivalent system, Illustrate with required expressi... Illustrate with required expression for dynamically equivalent system. Illustrate in detail about the Balancing of Radial Engines.

Dryness fraction measurement - thermodynamics, Dryness fraction measurement... Dryness fraction measurement: Sensible Hea t of Water or Heat of Liquid or Enthalpy of Liquid (h) Sol.: It is quantity of heat which is required to raise unit mass

Steam table - thermodynamics, Steam table - Thermodynamics: Sol.: St... Steam table - Thermodynamics: Sol.: Steam table offers various physical data regarding the properties of saturated water and steam. This table is very helpful in solving the

Determine weight of body and coefficient of the friction, Determine weight ... Determine weight of body and coefficient of the friction: For ce of 200N is needed just to move a certain body up an inclined plane of angle 15°, the force is parallel to th

Define power metallurgy, Power Metallurgy- The more appropriate name shoul... Power Metallurgy- The more appropriate name should be "Particulate Processing Methods". Here the particles of various sizes of metals, ceramics, polymers and glass etc, are presse

What is the objective of hydrostatic sensor paver machine, What is the obje... What is the objective of hydrostatic sensor paver machine To eliminate the problem in screw conveyer extension of hydrostatic sensor paver machine as per screed width" The p

Basic s.i. units and its derived unit - mechanics, Basic S.I. Units and its... Basic S.I. Units and its derived unit: S.I. stands for "System International Units". There are three quantities in the Standard International Systems as concerned to Mechanics

Motorcycle repairing, In MOTORCYCLE REPAIRING we have gone through various ... In MOTORCYCLE REPAIRING we have gone through various complaints related to engine starting, problem related to gear, clutch, etc. and their possible reasons of trouble making. The