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
Law of coulomb friction: Coulomb in the year 1781 presented certain conclusions which are called as Coulomb's law of friction. These observations are based on experiments on b

Determine the wire diameter of the inner spring: In a compound helical spring, the inner spring is arranged in and concentric with the outer one, but is 10 mm shorter. The out

Explain concept of Reaming and boring of radial drilling machine Reaming Reaming is accurate way of sizing and finishing the pre-existing hole. Multi tooth cutting tool. A

Q. Show the Geometric Similarity? When model is required to provide an aid merely for visualisation, scaler reproduction of form is sufficient which is termed Geometric Similar

AIR STANDARD CYCLES - thermodynamics: Most of the power plant operates in the thermodynamic cycle that is the working fluid undergoes a series of processes and returns to its

Explain concept of Tapping of radial drilling machine Tapping:- Tapping is the method by which internal threads are produced. It is performed either by hand or by machine.

a) What are essential needs of a job evaluation plan. Illustrate the point plan method b) Describe factor comparison method of job evaluation. a) What are basic objectives an


Determine force on a body to pull or push: Q: A wooden block having weight of 50N rests on the horizontal plane. Determine force required which is acted at an angle of 15° to

A ball is thrown from a point with a speed V  at an angle of projection  θ . From the same point and  at the same instant, a person starts running with a constant speed V/2 to catc