Determine the load on beam, Mechanical Engineering

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.


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

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
Related Questions
Fixed Support: At such support beam end is not free to translate or rotate at the fixed end there are three reaction horizontal reaction ( R H ), a vertical reaction ( R V ), an

Standard for External Representation of Product Data (STEP)  The furthest developed standard is by ISO 10303, or STEP, Standard for the Exchange of Product model data. One of t

Q. Ultrasound Bolt Load Monitoring? Ultrasound measurement of bolt stresses, using ‘Bolt Scope', should be used on: • All bolts tightened by tensioning. • All bolts in hy

(a) Show following complex numbers in Rectangular forms : (i) 5e 0.927j (ii) 10e 4.068j (b) Show the periodic functions by Fourier series (Harmonic series).

GAS METAL ARC WELDING (GMAW) GMAW is abbreviation for Gas shielded Metal Arc Welding. Here fusion is achieved by an electric arc formed between work piece and process is called

how do you find the projectile motion or equation?

Calculate diameter of shaft in maximum direct stress: A shaft is designed for transmitting 100 kW power at 150 rotation per minute. Shaft is supported in bearings 3 m apart a

Q2 A 3kW electric water heater is a cylindrical element having outside diameter 10mm. The heat transfer between the heater and the surrounding water is 980W/m2K. Determine the leng

Q. Waste Water Treatment? Typically, there are a number of waste water streams which need to be treated before disposal to land or water. Depending on the nature of contaminati