Find the centre of gravity of a t-section with flange 150 mm×10 mm and web also 150 mm× 10 mm.
Answers
Answer:
ENGINEERING INTRO
MENU
Home > Centroid > Centriod of T-Section
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
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
As shown below;
T section Details