Find out the maximum bending stress in beam, Mechanical Engineering

Assignment Help:

Q. A rectangular beam of 200 mm in breadth and 400 mm in depth is simply supported over span of 4m  and carries distributed load of 10 KN/m. Find out the maximum bending stress in beam.

Sol.:
635_bending stress.png
Given data:

b = 200 mm = 0.2 m

d = 400 mm = 0.4 m

L = 4 m

W = 10KN/m
σmax=?
We know σmax/y = M/I; σmax

= y.M/I

Here;

y = d/2 = 0.2 m

M = WL2/8 = (10 × 103 × 42)/8 = 20000 Nm

I =  bd3/12 = (0.2 × 0.43)/12 = 0.001066 m4
Putting all values we get;

σmax = (0.2 × 20000)/0.001066 = 3750000 N/m2

=  3.75MPa .......ANS 


Related Discussions:- Find out the maximum bending stress in beam

Design the helical compression spring, A helical compression spring prepare...

A helical compression spring prepared of oil tempered carbon steel, is subjected to a load which goes from 600 N to 1600 N. The spring index is 6 and the design factor of safety is

Explain about the eccentrically loaded footings, Explain about the eccentri...

Explain about the eccentrically loaded footings. ECCENTRICALLY LOADED FOOTINGS When footings have overturning moments and axial loads, the base pressure under the footing wi

Draw the free-body diagram, Draw the Free-Body Diagram: A 3 m long boo...

Draw the Free-Body Diagram: A 3 m long boom (Figure) is held by a ball and socket joint at A and by two cables CD and BE. It carries load of 20 kN at B. Draw the Free-Body Dia

Tutors, What is the procedure of becoming tutor in your program?

What is the procedure of becoming tutor in your program?

Alternating current -fundamentals of electricity , Alternating Current ( A...

Alternating Current ( AC ) : The electricity whose direction changes at regular interval is known as alternating current. I

Gathering lines, Gathering Lines: A gathering line, also called a lad...

Gathering Lines: A gathering line, also called a ladder track, is one into which a number of parallel tracks merge. This is shown in Figure. It is used in marshalling yards.

Displacement or swept volume, Displacement or Swept Volume ( V s ) : The ...

Displacement or Swept Volume ( V s ) : The nominal volume swept by the working piston when travelling from one dead centre to the other is called the displacement volume. It is e

Determine of poissons ratio, a) Show that if E is assumed to be correctly c...

a) Show that if E is assumed to be correctly calculated, an error of 1% in the evaluation of C will involve an error of about 6% in the determine of Poisson's ratio when its correc

Refractoriness, Refractoriness The capability of a material to withstan...

Refractoriness The capability of a material to withstand the action of heat devoid of appreciable deformation of softening is submitted to as refractoriness. Such property is m

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