Determine the maximum uniformly distributed load, Mechanical Engineering

Assignment Help:

Determine the maximum uniformly distributed load:

A timber beam 150 mm wide & 300 mm deep is supported simply over a span of

4 m. determine the maximum uniformly distributed load that the beam may carry, if the stress is not to exceed 8 N/mm2.

Solution

Breadth of beam, b = 150 mm

Depth of beam, d = 300 mm

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

= (1/12) × (150) × (300)3

= 3.375 × 108 mm4

Maximum bending stress, σ = 8 N/mm2

Span of beam, l = 4 m

Extreme fibre distance, y = 150 mm

Bending stress, σ = ( M/ I) × y

or,

8 =       (M / (3.375 × 108)) × 150

 ∴ Maximum bending moment, M

= (8 × 3.375 × 108) /150

= 18 × 106 N mm = 18kN m

But      M = wl 2/8

i.e.       18 = w × (4)2 / 8

∴          w = (18 × 8)/16

                  = 9 kN/m

∴  The maximum consistently distributed load the beam might carry = 9 kN/m.


Related Discussions:- Determine the maximum uniformly distributed load

Explain ash handling system, Illustrate the following : a. Ash handling ...

Illustrate the following : a. Ash handling system b. Dust collection What are the impurities in the water and how they are replaced for use as feed water in modern thermal

Determine the work transfer, (a) Derive the mathematical expression for Ste...

(a) Derive the mathematical expression for Steady Flow Energy Equation. State the assumption made before the derivation. (b) The internal energy of a substance is provided by th

Polymerization, Polymerization Whether similar molecules join in long ...

Polymerization Whether similar molecules join in long chain is termed as polymerization and resulting outcome is a polymer in a chemical reaction. Each plastic are polymers. T

Torsional equation , Torsional equation: Derive the Torsional equatio...

Torsional equation: Derive the Torsional equation T / J = Π  /R = Gθ / L Or Derive an expression for the shear stress in shaft subjected to a torque. Sol.

Calculate composition and microstructure, It is desired to produce an iron-...

It is desired to produce an iron-carbon alloy that has a minimum hardness of 200 HB and a minimum ductility of 35%RA. Is such an alloy possible? If so, what will be its composition

Basic type of polymer - plastics, Q. Basic type of Polymer? Polymer can...

Q. Basic type of Polymer? Polymer can be divided into three broad divisions: plastics, fibers, and elastomers. Synthetic resins are usually referred to as plastics. Plastic der

Optimization, consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3...

consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3x2+x3 5x1+4x2+3x3 x1,x2,x3>_0 (a)solve using simlex method (b)hence using the sesitivity analysis

Illustrate masons gain formula, i) Illustrate forward path and self loop. ...

i) Illustrate forward path and self loop. ii) Describe transfer function. iii) Which feedback is preferred and why. iv) Write the properties of signal flow graph. v) Il

Introduction to welding processes, Welding is a material joining process us...

Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by heating the materials to suitable temper

Determine coefficient of friction, Following data is provided for a 360 o ...

Following data is provided for a 360 o hydrodynamic bearing : Radial load = 3.2 kN journal Speed =1490 rpm journal diameter = 50 mm bearing length = 50 mm radial cl

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