Evaluate the maximum bending stresses, Mechanical Engineering

Assignment Help:

Evaluate the maximum bending stresses:

A beam of I-section illustrated in Figure is simply supported over a span of 10 m. It carries an uniform load of 4 kN/m over the whole span. Evaluate the maximum bending stresses.

2444_Determine the maximum bending stresses1.png

   Cross-section of Beam                 Bending Stress Distribution

Figure

Solution

Moment of inertia, I =1/12  (BD3 - bd3)

=          (1/12) (300 × 6603 - 280 × 6003)

= 21.474 × 108 mm4

Span of beam, l = 10 m

Uniformly distributed load, w = 4 kN/m

Maximum bending moment at the centre of beam, M = wl 2/ 8

Therefore,        M =4 × 10 2 / 8

= 50 kN m

= 5 × 107 N mm

Neutral axis passes by the centroid of I-section.

 The distance of top and bottom layer from neutral axis, y = 330 mm

 

Thus, Bending stress, σ = (M / I )× y

= (5 × 10 7 / 21.474 × 108 )× 330 = 7.68 N/mm2

So the bending stress at top and bottom layers = 7.68 N/mm2.


Related Discussions:- Evaluate the maximum bending stresses

Relationships among vm, Relationships among VM, Virtual Prototyping, the Vi...

Relationships among VM, Virtual Prototyping, the Virtual Enterprise Virtual Manufacturing (VM) VM is a synthetic, integrated manufacturing environment exercised to improve

Why we need paving in design of a plant, Q. Why we need paving in design of...

Q. Why we need paving in design of a plant? Concrete paving should be provided under any equipment where flammable or hazardous liquids may be spilled during routine operation

Plate clutch lifter bolts for even tightening, Plate clutch lifter bolts fo...

Plate clutch lifter bolts for even tightening : Reset clutch assembly using plate lifter clutch alignment tool.

#title.first Law of thermodynamics, for a circle,is the net work necessaril...

for a circle,is the net work necessarily zero? for what kind of system will this be the case?

Introduction to advance manufacturing, INTRODUCTION In the morning se...

INTRODUCTION In the morning session there was a discussion about what the teachers are going to do in this week. Later the professor has shown power point presentation on int

Write down the maintenance schedule spark plug replacement, Write down the ...

Write down the maintenance schedule for the following : (a) Spark plug replacement. (b) Engine oil change/ top up period. (c) Steering head bearing.

Thermal, diference between thermal and thermodynamic equallibrim

diference between thermal and thermodynamic equallibrim

Explain Functions of springs as on following points, 1. store energy 2. app...

1. store energy 2. apply force on a body 3. balance force between two bodies 4. absorb vibrations of body

Explain the effect of cutting speed, Explain the Effect of Cutting Speed ...

Explain the Effect of Cutting Speed Increase in cutting speed improves the surface finish due to the continuous reduction in built up edge. The curve a represents the machining

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