Brass Square Angle Weight Calculator, Formula, Brass Square Angle Weight Calculation

Brass Square Angle Weight:

Enter the vales of width, W_(cm), thickness of the tube, T_(cm) and Length, L_(cm) to determine the value of Weight, W_(g).

Brass Square Angle Weight:

A brass square angle is typically a right-angled, L-shaped structural component made from brass, an alloy of copper and zinc. The square angle’s design allows it to efficiently bear loads while minimizing the amount of material used, thanks to its hollow or partially hollow construction.

The weight of the brass square angle depends on its width, thickness, length, and the density of brass. Density, a fundamental physical property, describes how much mass is contained in a unit volume of the material.

To find the weight, the formula accounts for the brass’s density and the cross-sectional area of the square angle, which is the difference between the outer and inner sections of the shape. This approach effectively calculates the material that makes up the brass angle, ignoring the hollow parts that do not contribute to its weight.

Since the cross-sectional area is influenced by the angle’s width and thickness, the formula first determines the total area by squaring the width and then subtracting the square of the width minus the thickness.

Weight, W_(g) in grams equals the difference between the square of width, W_(cm) in centimetres and the square of the difference between width, W_(cm) and thickness of the tube, T_(cm) in centimetres then divided by 2 and multiplied by Length, L_(cm) in centimetres and density of the brass material, d_(g/cm3) in grams per cubic centimetre.

Weight, W_(g) = ( [ W²_(cm) – (W_(cm) – T_(cm))² ] / 2 ) * L_(cm) * d_(g/cm3)

W_(g) = weight in grams, g.

W_(cm) = width in centimetres, cm.

T_(cm) = thickness in centimetres, cm.

L_(cm) = length in centimetres, cm.

d_(g/cm3) = density in grams per cubic centimetres, g/cm³.

Brass Square Angle Weight Calculation:

1. A brass square angle has a width of 4 cm, a thickness of 0.8 cm, a length of 100 cm, and the density of brass is 8.5 g/cm³. Calculate the weight of the brass square angle.

Given: W_(cm) = 4cm, T_(cm) = 0.8cm, L_(cm) = 100cm, d_(g/cm3) = 8.5g/cm³.

Weight, W_(g) = ( [ W²_(cm) – (W_(cm) – T_(cm))² ] / 2 ) * L_(cm) * d_(g/cm3)

W_(g) = ([4² – (4– 0.8)²] / 2 ) * 100 * 8.5

W_(g) = 2.88 * 100 * 8.5

W_(g) = 2448g.

2. A brass square angle has a width of 6 cm, a thickness of 1.2 cm, a density of 8.5 g/cm³, and a weight of 2040 g. Find the length of the brass square angle.

Given: W_(cm) = 6cm, T_(cm) = 1.2cm, W_(g) = 2040g, d_(g/cm3) = 8.5g/cm³.

Weight, W_(g) = ( [ W²_(cm) – (W_(cm) – T_(cm))² ] / 2 ) * L_(cm) * d_(g/cm3)

L_(cm) = W_(g) / ( [ W²_(cm) – (W_(cm) – T_(cm))² ] / 2 ) * d_(g/cm3)

L_(cm) = 2040 / ([6² – (6 – 1.2)²]) * 8.5

L_(cm) = 2040 / 4.58 * 8.5

L_(cm) = 43.8cm.