Q.  An I section has dimensions Top flange = 8 cm × 2 cm; Bottom flange = 12 cm × 2 cm; Web = 12 cm × 2 cm; Over all the depth of section = 16 cm. Determine M.I. of I section about 2 centroidal axes.

Figure

Sol.: As diagram is symmetrical about the y axis that is,X = 0, x₁  = x₂  = 0

A₁ = 8 × 2 = 16 cm²

A₂ = 12 × 2 = 24 cm²

A₃ = 12 × 2 = 24 cm²

y₁ = (2 + 12 + 2/2) = 15 cm

y₂ = (2 + 12/2) = 8 cm

y₂ = 2/2 = 1 cm

Y = (A1y1  + A2y2 + A3y3)/(A1  + A2 + A3)

= (16 × 15 + 24 × 8 + 24 × 1)/(16 + 24 + 24) = 7.125cm

C.G. = (0, 7.125)

Moment of inertia (M.I.) about x-x axis = I_XX  = I_XX1  + I_XX2

The moment of inertia about  y-y axis =
As

Posted Date: 10/20/2012 8:43:09 AM | Location : United States

Ask an Expert

Related Discussions:- Determine m.i. of i section about 2 centroidal axes, Assignment Help, Ask Question on Determine m.i. of i section about 2 centroidal axes, Get Answer, Expert's Help, Determine m.i. of i section about 2 centroidal axes Discussions

Write discussion on Determine m.i. of i section about 2 centroidal axes
Your posts are moderated

Write your message here..

Related Questions

Explain concept of a corner or angled window, Question 1: Retail design... Question 1: Retail design tends to be rapid turnover business. Your potential client needs a window display for his retail sports wear shop for the summer sales. The assumed bu

Essence of second law - thermodynamics, Essence of Second Law: Sol: ... Essence of Second Law: Sol: First law deals with conservation and conversion of energy. But it fails to state the conditions under which the energy conversion are possible.

Mechanics, torque torque

Loosening a part with multiple fasteners services tips, Loosening a Part wi... Loosening a Part with Multiple Fasteners: Loosening a part with multiple fasteners should be done from the outside to inside in a criss-cross pattern, loosening the small fastener

Milling fixtures, details details

Calculate natural frequency and damping coefficient, a. Objectives O... a. Objectives Observe vibration first hand Calculate natural frequency and damping coefficient observe changes as a result of temperature and material b. Backg

Motorcycle repairing, In MOTORCYCLE REPAIRING we have gone through various ... In MOTORCYCLE REPAIRING we have gone through various complaints related to engine starting, problem related to gear, clutch, etc. and their possible reasons of trouble making. The

Basic definitions - air transportation, BASIC DEFINITIONS - Air transportat... BASIC DEFINITIONS - Air transportation: A civil engineer dealing with airport engineering shall have to know the precise meaning of some terms. These are defined below :

Illustrate the several kinds of chips, (a) Illustrate the several kinds of ... (a) Illustrate the several kinds of chips formed during metal cutting with neat diagrams. (b) Why is Titanium Nitride a valuable tool coating? (c) Give the differences betwee

Characteristics of computer controlled scheduling (ccs), Characteristics... Characteristics  Of  Computer  Controlled Scheduling (Ccs) To control the manufacturing system in an effectual way, the system is normally composed in a task-based hierarchy. T