Find out longest span which beam would carry m uniform load, Mechanical Engineering

Q.  A supported rectangular beam with the symmetrical section 200mm in depth is having moment of inertia of 2.26 x 10-5 m4 about  its neutral axis. Find out longest span over which beam would carry a uniformly distributed load of 4KN/m run such that the stress because of bending does not exceed 125 MN/m2

Sol.: Given:

Depth d = 200mm = 0.2m

I = The moment of inertia = 2.26 × 10-5 m4

UDL = 4KN/m

Bending stress σ = 125 MN/m2 = 125 × 106 N/m2

Span = ?

As we know that Maximum bending moment for supported beam with UDL on its entire span can be given by = WL2/8

That is; M = WL2/8 ...(i)

ymax =  d/2 = 0.2/2 = 0.1m

M = σ.I/ymax = [(125 × 106) × (2.26 × 10-5)]/ 0.1 = 28250 Nm ...(ii)

Substituting this value in the equation (i);

28250 = (4 × 103)L2/8

L = 7.52m .......ANS 

Posted Date: 10/20/2012 8:28:13 AM | Location : United States







Related Discussions:- Find out longest span which beam would carry m uniform load, Assignment Help, Ask Question on Find out longest span which beam would carry m uniform load, Get Answer, Expert's Help, Find out longest span which beam would carry m uniform load Discussions

Write discussion on Find out longest span which beam would carry m uniform load
Your posts are moderated
Related Questions
Are the types of pumps selected (base mounted, in-line)? Locate pump on discharge side of boiler. Flexible connector used. Valving indicated, isolation valve on suction and dis

Calculate the Cutting Speed in Drilling Operation Calculate the cutting speed if a drill of 0.04 m dia is operated at a speed of 250 rpm. Solution D = 0.04 m N = 25

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

Concept of plane stress: Define the concept of plane stress. Sol.:   In cubical element of strained material is acted on by stresses acting on only 2 pairs of parallel plane

Explain Macroscopic Approach - Thermodynamics 1. In this method a fixed quantity of matter is considered without taking into account the events taking place at molecular level.

Differentiate between perfect, deficient and redundant trusses

Nozzle: The pressure energy gets converted in to kinetic energy Mass flow rate  Turbine: It is used to generate work.  The work is done by system becaus

The Contractor is responsible for obtaining all drawings, standards and specifications referred to in the bid documents and to request as needed additional or missing reference dat

Hazardous Waste and Material Standards Each hazardous site must be examined and evaluated for its characteristics before workers are allowed entry. This will pre decide an

Draw the shear force and bending moment diagrams for the beams shown in Figures 4 and 5. Also find the maximum shear force, bending moment and the points of contra-flexure