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

Determine the angle of twist - solid steel shaft, Determine the angle of tw...

Determine the angle of twist - solid steel shaft: A solid steel shaft 6 m long is fixed at each of the end. A torque of 3 kN-m is applied to the shaft at a section 2 m from on

Material selection by temperature range, Q. Material selection by temperatu...

Q. Material selection by temperature range 750° to 1100°F (400° to 600°C) ? Plain carbon steels are usually limited to a maximum operating temperature of 750°F (400°C).  There

Defects involving inadequate bonding, Defects Involving Inadequate Bonding ...

Defects Involving Inadequate Bonding Lack of fusion Involves lack of complete melting and fusion of some portion of the weld metal in a joint. It may occur either bet

Local stresses - vessel rigging analysis, Q. Local Stresses? Local stre...

Q. Local Stresses? Local stresses in the vessel shell/head/skirt/base rings from the lifting attachments (such as lugs, trunnions, etc.), shall be determined for the imposed lo

Plate clutch movement on center clutch-clutch jerking, Plate clutch movemen...

Plate clutch movement on center clutch : Place plate clutch on centre clutch as shown in the picture and move the plate clutch up and down, while moving the plate clutch in the ce

Heat treatment of tool steels, Heat Treatment of Tool Steels This trea...

Heat Treatment of Tool Steels This treatment in case of tool steels in a significant step before actually employing the tool. Most properties are attained after heat treatment

Boiler, boiler water hammering

boiler water hammering

Torsional Vibration, Free Torsional Vibration of a Single Rotor System

Free Torsional Vibration of a Single Rotor System

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