Relation in maximum tensile and maximum compressive stress, Mechanical Engineering

Assignment Help:

Q. 11: What is relation between the maximum tensile stress and the maximum compressive stress in any section of beam?

Sol.: Let us assume inverted angle section of the beam as shown below:

2485_tensile stress.png

Figure

In case of beam, the maximum compressive stress will be set up in the topmost layer, and maximum tensile stress will be set up in the bottom most layer due to bending.

Let
σc  = maximum compressive stress
σt   = maximum tensile stress

yC  = distance of topmost layer from neutral axis N-A

yt    = distance of bottommost layer from neutral axis N-A.

Then, according to the bending equation,

M/I =  σ /y

where

          σ = maximum bending stress,

y   = distance of the layer at which the maximum bending stress occurs, distance being measured from neutral axis,

M = maximum moment of resistance

= maximum B.M.

I   = Moment of inertia (M.I.) of the section of the beam about the neutral axis.

1786_tensile stress1.png

Also;

Equate both we get;                             

2102_tensile stress2.png


Related Discussions:- Relation in maximum tensile and maximum compressive stress

Dynamics of the water tank, A Perspex tank ure 1), which has parallel sides...

A Perspex tank ure 1), which has parallel sides for the top part of its height and a 'V' shaped section for the bottom part and a constant width throughout, is used as a receptacle

Files tool and equipment , Files: Files are used to remove excess metal by...

Files: Files are used to remove excess metal by cutting action. These can be classified according to their length, shape, cross-section.

Arc blow, ARC BLOW In certain cases depending upon where the return pa...

ARC BLOW In certain cases depending upon where the return path connections are given for the arc current, the arc may be deflected towards a direction of weaker electro magnet

Kinetics, Kinetics: Define Kinetics. What is plane motion? Sol: ...

Kinetics: Define Kinetics. What is plane motion? Sol: Kinetics is that branch of mechanics, which deals with force system that produces acceleration and resulting motio

Diesel cycle - thermodynamics, Diesel Cycle - Thermodynamics: Diesel c...

Diesel Cycle - Thermodynamics: Diesel cycle is also called as the constant pressure cycle as all addition of heat takes place at constant pressure. The cycle of operation is s

Gas lenses, Gas Lenses Gas lenses are used to provide a laminar flow...

Gas Lenses Gas lenses are used to provide a laminar flow of shielding gas. All These attachments have a porous barrier diffuser and are fitted around the electrode or collet

Chemestry cycle 1st yr, Explain construction and working of calomel electro...

Explain construction and working of calomel electrode

Pattern practices - manufacturing processes, Pattern Practices - Manufactur...

Pattern Practices - Manufacturing processes: Pattern Practices : A pattern may be defined as a replica or fascimile model of the desired casting which, when packed or embedd

Force equilibrium equation, When you arrive at Duke's Dude Ranch, you are g...

When you arrive at Duke's Dude Ranch, you are greeted by the large wooden sign shown.  The left end of the sign is held in place by a bolt and the right end is tied to a rope that

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