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
σ_max=?
We know σ_max/y = M/I; σ_max

= 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 m⁴Putting all values we get;

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

= 3.75MPa .......ANS

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

Program evaluation and review techniques, Program Evaluation and Review Tec...

Program Evaluation and Review Techniques: The Rola and Cola Corporation is a professional II nursing home aspiring to become I nursing home. It desires to provide the ultimate

Evaluate force to slide the body over the surface, Evaluate Force to slide ...

Evaluate Force to slide the body over the surface: A body having weight 100N rests on rough horizontal surface (µ = 0.3) and is acted upon by a force applied at an angle of 3

Path function, how to prove that work done is a path function

how to prove that work done is a path function

Harmonic motion equilibrium, (a) Split up the harmonic x = 8 sin(ωt + 45°),...

(a) Split up the harmonic x = 8 sin(ωt + 45°), into two harmonic motions, one of which has amplitude of 10 and phase difference zero. (a) A body is subjected to two harmonic mot

Calculate power factor of the heating element, A single phase series resist...

A single phase series resistive-inductive heating element draws a measured current of 15A when connected to a 225V single phase 50 Hz AC supply. Tests have shown that a minimum

Klein construction, how to find acceleration by Klein construction

how to find acceleration by Klein construction

Internal combustion engines, During a test on a Lister engine in a thermal ...

During a test on a Lister engine in a thermal laboratory, following parameters were measured; crank shaft speed=1,750rpm Load on dynamometer=220N Radius of dynamometer=1.5m Fuel co

Test the strength of binders, Strength tests : These tests are carried out ...

Strength tests : These tests are carried out to check the holding powers of various binders used in green moulding sand, dry moulding sand and core sand. These tests are performed

Illustrate about the strap footing, Illustrate about the strap footing? ...

Illustrate about the strap footing? In given demonstrates figure the exterior footing placed eccentrically under the exterior column so that property line limitations are not v

Parallelogram law of forces, uses of parallelogram

uses of parallelogram

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages