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

Assignment Help:

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 


Related Discussions:- Find out longest span which beam would carry m uniform load

Determination of reaction at the support beam, Determination of Reaction at...

Determination of Reaction at the Support beam: Draw a SFD & BMD for the beam illustrated in Figure Figure Solution Determination of Reaction at the Support

What are the advantages of gear drive, In general, gear drive is useful for...

In general, gear drive is useful for power transmission among two shafts, which are near to each other (at most at 1m distance). In addition, it has maximum efficiency whereas tran

Stress, Difference between direct and shear stress

Difference between direct and shear stress

Show produced water de-oiling unit, Q. Explain about water De-Oiling proces...

Q. Explain about water De-Oiling process? The De-Oiling process consists of three major components: The Surge and Skim Tank which reduces PW oil content to 100 ppm I

Confined space standard, Confined Space Standard Various examples of ...

Confined Space Standard Various examples of workplace exist in industrial practice where spaces are characterized by several restrictions. Such spaces are identified as: manh

Torsional Vibration, Free Torsional Vibration of a Single Rotor System

Free Torsional Vibration of a Single Rotor System

I.c.engine.., proell governor,porter governor,watt governor

proell governor,porter governor,watt governor

Find the distance of weight ‘x’ from support, Find the distance of weight ‘...

Find the distance of weight ‘x’ from support: The t wo weights C = 2000N and D = 1000N are located on horizontal beam AB as shown in the figure given below. Find the d

What is called materials which can store electrical energy, Materials which...

Materials which can store electrical energy are called (A) magnetic materials.  (B) semi conductors. (C) dielectric materials.  (D) super conductors. Ans: Mater

Molding methods according to the method of making a mold, Q. Molding method...

Q. Molding methods according to the method of making a mold? Following are the molding methods according to the method of mold making: • Open mold method: the method is su

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd