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

Assignment Help:

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


Related Discussions:- Determine m.i. of i section about 2 centroidal axes

Evaluate the reactions at hinge and roller support, Evaluate the reactions ...

Evaluate the reactions at hinge and roller support: Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactio

Reduce system to a single force - mechanics, Reduce system to a single forc...

Reduce system to a single force: Q: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a single force

Classification of electrodes, CLASSIFICATION OF ELECTRODES The classifica...

CLASSIFICATION OF ELECTRODES The classification system used in the specification AWS A 5.1 which is for carbon steel electrodes follows established pattern for AWS filler metal s

Systematic layout planning, What are the primary benefits of using computer...

What are the primary benefits of using computerized layout procedures vs. Systematic Layout Planning (SLP) procedures done by hand?

Fluid Mechanics, temperature lapse rate differentiation integration...

temperature lapse rate differentiation integration...

Where pneumatic system is used, Any system needs redundancy in work needs p...

Any system needs redundancy in work needs pneumatics, because the compressor of the pneumatic system has periodical operations (intermittent work, not as hydraulic pump). The compr

What is suspension system? , (a) What is suspension system? Write down its ...

(a) What is suspension system? Write down its functions. (b) What are the types of suspension system? Write the names of suspension system used in front and rear of two wheelers

Design square footing with plan area and soil reaction, A square column 410...

A square column 410 x 410 mm (along with 4 No. 16 mm bars) carries a dead load of 1020 kN and an imposed load of 410 kN. The foundation soil has a safe bearing capacity of 200 kPa.

Stress strain curves, Stress Strai n Curves (Tension): When a bar or ...

Stress Strai n Curves (Tension): When a bar or specimen is subjected to a gradually increasing axial tensile load, the strains and stresses can be found out for number of loa

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd