Question

find the centroid of T section plate

Answer 1

Centroid of T-section can be found easily with respect to reference x-axis. This is so because T section is symmetrical about Y-axis.

CENTROID OF T SECTION EXAMPLE

Find the centroid of T-section as shown below. All units are in cm.

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Centriod of T-Section

 Jalal Afsar  July 11, 2013 Centroid  No Comments

Centroid of T-section can be found easily with respect to reference x-axis. This is so because T section is symmetrical about Y-axis.

CENTROID OF T SECTION EXAMPLE

Find the centroid of T-section as shown below. All units are in cm.

 

 



Centriod of T-section

SOLUTION

T-section is comprised of two rectangles.

Area of Large Rectangle = 20×5 = 100 cm.

Area of smaller Rectangle = 12.5×5 = 62.5 cm.

Sum of Area = 100 + 62.5 = 162.5 cm.

Centroid of Large Rectangle with respect to reference x-axis = Y = 12.5/2 = 6.25 cm.

Centroid of small rectangle with respect to reference x-axis = Y = 5/2 + 12.5 = 15 cm.

Moment of Area of Large rectangle = M1 =  62.5×6.25 = 390.25 cm.

Moment of Area of small rectangle = M2 =  100×15 = 1500 cm.

Sum of Moments = 390.25 + 1500 = 1890.625 cm.

Y¯=Sum  of  of  MomentsSum  of  of  Area

 

Y¯=1890.625162.5=11.63cm