Calculate the maximum and minimum stress, Mechanical Engineering

Calculate the maximum and minimum stress:

A cast iron column of 200 mm diameter carries a vertical load of 400 kN, at a distance of 50 mm from the centre. Calculate the maximum & minimum stress developed in the section, along with the diameter passing through the point of loading.

1786_Calculate the maximum and minimum stress.png

(a)

1990_Calculate the maximum and minimum stress1.png

(b) Stress Distribution along the Diagonal

Figure

Solution

Vertical load, P = 400 kN = 400 × 103 N

Diameter of the section, D = 200 mm

Area of the section,  A = (π/4) (200)2  = 31416 mm2

Direct stress, f0 =(P/A) =4 × 105/31416 = 12.732 N/mm2

Eccentricity, e = 40 mm

Bending moment, M = P × e = (400 × 103 ) 40 = 16 × 106  N-mm

Section modulus, z = π D 3/32            = π (200)3 /32= 785.4 × 103 mm3

Bending stress,  f =± Pe / Z =±  16 × 106 /785.4 × 103=± 20.372 N/mm2

 ∴ Resultant stress at the edge, B = f0  + fb  = 12.732 - 20.372

                                                     = 33.104 N/mm2 (compressive)

∴ Resultant stress at the edge, A =  f0  - fb  = 12.732 - 20.372

                                                        =- 7.640 N/mm2 (tensile)

The stress distribution along with the diameter is as illustrated in Figure (b).

Posted Date: 1/21/2013 7:03:30 AM | Location : United States







Related Discussions:- Calculate the maximum and minimum stress, Assignment Help, Ask Question on Calculate the maximum and minimum stress, Get Answer, Expert's Help, Calculate the maximum and minimum stress Discussions

Write discussion on Calculate the maximum and minimum stress
Your posts are moderated
Related Questions
Conve r t following reading of pressure to kPa, supposing that the barometer reads 760mm Hg. (1) 90cm Hg gauge (2) 40cm Hg vacuum (3) 1.2m H 2 O gauge Sol: Given

Separator:   Separator works as insulator between positive and negative plates. These separators are placed between each pair of plates.

Find the maximum shear stress - stepped circular bar: A stepped circular bar ABC 4 m long fixed at one of the end 'A' is subjected to a torque of 10 kN-m. If the portion AB is


If Steering is Heavy Causes of Problem Remedy Steering head adjuster too tight Damaged steering cones or steel ball

What is the sequence of this problem Job- 1 2 3 4 5 6 7 M/c M1 4 13 16 7 11 12 10 M2 9 11 11 7 13 2 4

a couple can be balanced by a force equal to its magnitude?

open die closed die

the component of computer integrated manufacturing with the diagram

the component of computer integrated manufacturing with the diagram