What is Steel or metal regular polygon bar unit weight calculator by inner circle dia?
The bar whose cross section is a regular polygon and all sides and interior angles are equal is called regular polygon bar.
In regular polygons, the bar inner circle diameter or bar inner dia is known as the diameter of the circle that touches the midpoints of all regular polygon sides.
Steel or metal regular polygon bar unit weight calculator, calculates weight per meter length and total length, single bar cross section area and total bar cross section area, single bar per meter volume, and total volume after input of regular polygon bar side measurement in mm, length in meter, and density of metal in Kg/Cum.
In this Soved’s calculator, we can calculate unit weight and total weight any metals/non metals like as Brass, Steel, Aluminium, Copper, Wood balli, Silver, and Zinc etc with all input data. Here some metals densities are written below-
Steel density- 7850-7860Kg/Cum
Aluminium density- 2640-2830Kg/Cum
Brass density- 8400-8890Kg/Cum
Copper density- 8800-8990Kg/Cum
Example-1: Calculate unit weight, unit area, unit volume, and total weight, total area, total volume of steel regular polygon bar with 20mm diameter and 5 nos of side and 3m length with 2nos of bar. Take density of steel 7850Kg/Cum.
Solution:
For unit weight,
Steel bar dia,d= 20mm
Steel bar numbers of side,ns= 5
Steel bar unit length,l= 1m
Steel density,p= 7850Kg/Cum
Steel bar unit weight= Steel bar unit volume*steel density
Steel bar unit weight= ns*0.25*d*d*0.001*0.001*tan(180°/ns)*l*p
Where, tan(180°/5)=tan36°= 0.726543 , d= 20mm, l= 1m, p= 7850Kg/Cum, ns= 5
Steel bar unit weight= 5*0.25*20*20*0.001*0.001*0.726543*1*7850
Steel bar unit weight per meter=2.852Kg
For total weight,
Steel bar dia,d= 20mm
Steel bar numbers of side,ns= 5
Total no of Steel bar,n= 2
Steel bar length,l= 3m
Steel density,p= 7850Kg/Cum
Steel bar total weight= Steel bar total volume*Steel density
Steel bar total weight= ns*0.25*d*d*0.001*0.001*tan(180°/ns)*l*p*n
Where, tan(180°/5)=tan36°= 0.726543 , d= 20mm, l= 3m, p= 7850Kg/Cum, n= 2, ns= 5
Steel bar total weight= 5*0.25*20*20*0.001*0.001*0.726543*3*7850*2
Steel bar total weight=17.110Kg
For unit cross section area,
Steel bar dia,d= 20mm
Steel bar numbers of side,ns= 5
Steel bar unit cross section area in mm²= ns*0.25*d*d*tan(180°/ns)
Where, tan(180°/5)=tan36°= 0.726543 , d= 20mm, ns= 5
Steel bar unit cross section area= 5*0.25*20*20*0.726543
Steel bar unit cross section area=363.271mm²
For total cross section area,
Steel bar dia,d= 20mm
Steel bar numbers of side,ns= 5
Total no of bar,n= 2
Steel bar total cross section area in m²= ns*0.25*d*d*tan(180°/ns)*0.001*0.001*n
Where, tan(180°/5)=tan36°= 0.726543 , d= 20mm, ns= 5, n= 2
Steel bar total cross section area= 5*0.25*20*20*0.001*0.001*0.726543*2
Steel bar total cross section area=0.000726m²
For unit volume per meter,
Steel bar dia,d= 20mm
Steel bar numbers of side,ns= 5
Steel bar length,l= 1m= 1000mm
Steel bar unit volume per meter in mm³= ns*0.25*d*d*tan(180°/ns)*l
Where, tan(180°/5)=tan36°= 0.726543 , d= 20mm, ns= 5, l= 1000mm
Steel bar unit volume per meter in mm³= 5*0.25*20*20*0.726543*1000
Steel bar unit volume per meter =363271.264mm³
For total volume,
Steel bar dia,d= 20mm
Steel bar numbers of side,ns= 5
Steel bar length,l= 3m
Number of Steel bar,n= 2
Steel bar total volume in m³= ns*0.25*d*d*tan(180°/ns)*0.001*0.001*l*n
Where, tan(180°/5)=tan36°= 0.726543 , d= 20mm, ns= 5, l= 3m, n=2
Steel bar total volume in m³= 5*0.25*20*20*0.001*0.001*0.726543*3*2
Steel bar total volume=0.0021796m³