Copper T-Bar Weight Calculator, Formula, Copper T-Bar Weight Calculation

Copper T-Bar Weight Calculator:

Enter the values of width, W_(cm), thickness, T_(cm), height, H_(cm) and length, L_(cm) to determine the value of weight, W_(g).

Copper T-Bar Weight Formula:

A Copper T bar is a structural element with a T-shaped cross-section, where the weight is determined by its dimensions and the density of the material. Copper, known for its high density of approximately 8.96 g/cm³, significantly influences the weight of the T bar.

The weight calculation is based on the principle of volumetric displacement, where the volume of material is multiplied by its density. The T bar’s cross-section includes a stem and a flange, creating a composite volume that needs to be accurately calculated. The formula used accounts for the total volume of the T bar, including the hollow and solid sections.

To compute the weight, the dimensions such as width, height, and thickness of the T bar are considered. The width and height determine the outer dimensions, while the thickness of the material affects the internal hollow space.

Accurate calculation of the weight involves understanding these properties and applying the appropriate mathematical formula to determine the bar’s mass.

The weight, W_(g) in grams of an acrylic T-bar is calculated by taking the width, W_(cm) in centimetres multiplied by the thickness, T_(cm) in centimetres, then subtracting the product of the height, H_(cm) in centimetres minus the thickness (H_(cm) – T_(cm)) and the thickness, T_(cm). Multiply the resulting area by the length, L_(cm) in centimetres and the material density, d_(g/cm3) in grams per cubic centimetre.

Copper T-Bar Weight,W_(g) = [W_(cm) * T_(cm) – (H_(cm) – T_(cm)) * T_(cm)] * L_(cm) * d_(g/cm3)

W_(g) = copper T-bar weight in grams, g.

W_(cm) = width in centimetres, cm.

T_(cm) = thickness in centimetres, cm.

H_(cm) = height in centimetres, cm.

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

L_(cm) = length in centimetres, cm.

Copper T-Bar Weight Calculation:

1. A Copper T bar has a width of 5 cm, a thickness of 1 cm, a height of 2 cm, a length of 100 cm, and the density of copper is 8.96 g/cm³. Calculate the weight of the T bar.

Given: W_(cm) = 5cm, T_(cm) = 1cm, H_(cm) = 2cm, L_(cm) = 100cm, d_(g/cm3) = 8.96g/cm³.

Copper T-Bar Weight,W_(g) = [W_(cm) * T_(cm) – (H_(cm) – T_(cm)) * T_(cm)] * L_(cm) * d_(g/cm3)

W_(g) = [5 * 1 – (2 – 1) * 1] * 100 * 8.96

W_(g) = 4 * 100 * 8.96

W_(g) = 3584g.

2. A Copper T bar has a width of 6 cm, a thickness of 1.5 cm, a height of 4 cm, and the density of copper is 8.96 g/cm³. If the T bar weighs 7168 g, calculate its length.

Given: W_(cm) = 6cm, T_(cm) = 1.5cm, H_(cm) = 4cm, W_(g) = 7168g, d_(g/cm3) = 8.96g/cm³.

Copper T-Bar Weight,W_(g) = [W_(cm) * T_(cm) – (H_(cm) – T_(cm)) * T_(cm)] * L_(cm) * d_(g/cm3)

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

L_(cm) = 7168 / [6 * 1.5 – (4 – 1.5) * 1.5] * 8.96

L_(cm) = 7168 / 47.04

L_(cm) = 152.5cm.