find the centre of gravity of a t-section with flange 150mm x 10mm and web also 150 mm x 10 mm answer
Answers
Given:
A t-section with flange 150mm x 10mm and web also 150 mm x 10 mm
To find:
Find the centre of gravity of a t-section with flange 150mm x 10mm and web also 150 mm x 10 mm answer
Solution:
From given, we have,
A t-section with flange 150mm x 10mm and web also 150 mm x 10 mm
Consider the attached figure while going through the following steps.
Consider rectangle 1,
a1 = 150 × 10 = 1500 mm
y1 = 150 + 10/2 = 155 mm
Consider rectangle 2,
a2 = 150 × 10 = 1500 mm
y2 = 150/2 = 75 mm
The distance between the centre of gravity of the section and bottom of the flange is,
y' = (a1y1+a2y2) / (a1 + a2)
y' = [1500 × 155 + 1500 × 75) / (1500 + 1500)
y' = 345000/3000
y' = 115 mm
Hence the centre of gravity of a t-section with flange 150mm x 10mm and web also 150 mm x 10 mm is 115 mm
Answer:
115mm
Explanation:
a1 = 150 × 10 = 1500 mm
y1 = 150 + 10/2 = 155 mm
a2 = 150 × 10 = 1500 mm
y2 = 150/2 = 75 mm
The distance between the centre of gravity of the section and bottom of the flange is,
y' = (a1y1+a2y2) / (a1 + a2)
y' = [1500 × 155 + 1500 × 75) / (1500 + 1500)
y' = 345000/3000
y' = 115 mm
Hence the centre of gravity of a t-section with flange 150mm x 10mm and web also 150 mm x 10 mm is 115 mm