Determine m.i. of i section about 2 centroidal axes, Mechanical Engineering

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.

582_MI.png

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 = IXX  = IXX1  + IXX2

291_MI1.png

The moment of inertia about  y-y axis =1873_mi3.png
As

1624_MI2.png

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







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
Related Questions
Q. What is Expansion Joints? Expansion joints are used to accommodate thermal growth in piping and pressure vessel applications. The metal bellows, an integral part of an expan

Support reaction: Explain the support reaction? What are different types of support and their reactions? Sol.: When the numbers of forces are acting on a body, and the

Determine the critical load (W crit ) to cause elastic instability of the rigidly jointed frame shown in Figure Q2. The frame members have constant bending stif

Turnouts: A turnout is an assembly of various components whereby a train running on one track may be diverted to another. A sketch of a left-hand turnout is given in Figur

define environment and explain stockholm conference

Illustrate working and construction of Hydraulic Dynamometer ? Determine Power transmitted.

Thyristor: The thyristor is just like an ordinary diode. Thyristor

What do you mean by centrifugal casting ? How are the centrifugal method classified ?

Drynes s Fraction of Steam: Dryness fraction of steam is factor which used to specify the quality of steam. It can be defined as the ratio of weight of dry steam W d s pr