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.

(a)

(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  + f_b  = 12.732 - 20.372

                                                     = 33.104 N/mm² (compressive)

∴ Resultant stress at the edge, A =  f₀  - f_b  = 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

Ask an Expert

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

Write your message here..

Related Questions

determine the mass of air, An amount of air contained in a rigid container... An amount of air contained in a rigid container is at  T1 = 300 K.  After adding 450 kJ of heat, the air temperature increases to  T2 = 430 K.  Determine the mass of air,  m [kg],

Open belt drive, Open belt drive: An open belt drive connects the two... Open belt drive: An open belt drive connects the two pulleys 120cm and 50cm diameter on parallel shafts which are apart 4m. The maximum tension in belt is 1855.3N. Coefficien

Evaluate the stream function, Evaluate the stream function at point (2, 3) ... Evaluate the stream function at point (2, 3) for a two dimensional flow given by U = 5x 3           v = - 15x 2 y Evaluate the velocity potential function for a two dimension

Area Moment of Inertia, Are a Moment of Inertia Moment of force about ... Are a Moment of Inertia Moment of force about a point is product of the force ( F ) and perpendicular distance ( d ) between point and line of action of that is F.d. This mome

Equation of motion of lift, Equation of motion of lift: Write equatio... Equation of motion of lift: Write equation of motion of lift when move up and when move down   Assume,   W = Weight carried by lift m = Mass carried by lift = W

Relation for fin insulated tip and the heat dissipation, Derive the relatio... Derive the relation for a fin insulated at the tip and the heat dissipation?

Wire feed system, Wire Feed System The submerged arc welding machine of t... Wire Feed System The submerged arc welding machine of the wire feed control may be of the following types: 1. Voltage sensitive system 2. Constant wire feed The voltage sensiti

Thermodynamics, Problem specification 5 kg of air is contained in a piston-... Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a specific volume of 0.08m3/kg. The air then expands, as an ideal ga

Explain ericsson cycle, (a) Write short note on following : (i) Ericsson... (a) Write short note on following : (i) Ericsson cycle (ii) Diesel cycle (iii) Stirling cycle (b) The swept volume of a diesel cycle engine working on dual cycle is 0.0

Ventilation fan belt assembly, The aim of this assignment is for the studen... The aim of this assignment is for the student to use the information, data and analysis techniques presented during lectures to design a belt drive transmission for a ventilation f