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

Discover the angle of twist, Discover the angle of twist: Discover the...

Discover the angle of twist: Discover the diameter of the shaft needed to transmit 60 kW at 150 r.p.m., if the maximum torque is possible to exceed the mean torque by 25% for

General electric research laboratory, General Electric Research Laboratory:...

General Electric Research Laboratory: Philip Kennicott joined the General Electric Research Laboratory in the year 1961 where he made contributions in the fields of x-ray crys

What is the importance of safety at workshop?, (a) What is the importance o...

(a) What is the importance of safety at workshop? (b) What problems may arise, if we do not take safety precautions in the workshop?

Determine the elongation of plate, Determine the elongation of plate: ...

Determine the elongation of plate: Q: A steel bar AB which is having uniform thickness 2 cm, tapers from 1.5 cm to 7.5 cm uniformly in a length of 50 cm. From 1 st principle

Mechanical design, 1. Produce the SW parts for the lugs, connector and tub...

1. Produce the SW parts for the lugs, connector and tubes. Produce an assembly to FIT at the designated points. 2. Create your own, individual, blank, customised drawing te

Aerospace engineering, An airfoil of surface area 1.5 ft2 is tested for lif...

An airfoil of surface area 1.5 ft2 is tested for lift L in a wind tunnel. At an angle of attack of 7° with standard air of density 0.0024 slugs/ft3 at a speed of 90 ft/sec, the lif

How are footings described and introduced properly, How are footings descri...

How are footings described and introduced properly? The selection of different types of footings and the need for reinforcing the same are discussed in this unit. Methods of de

Blasting nozzle, Blasting Nozzle: Figure: Shown blast nozzle samp...

Blasting Nozzle: Figure: Shown blast nozzle sample             Jet injection type of nozzle is a very powerful blasting method. Nozzle design is very particular to the

PUMP, We have a reciprocating compressor operating at 800 rpm. Suction pre...

We have a reciprocating compressor operating at 800 rpm. Suction pressure and discharge pressure are held constant by other systems that have nothing to do with the compressor. W

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