Troughed belt load areas & capacity for conveyor

* Troughed belt load areas & capacity for conveyor

(Refer to “Belt Conveyors for Bulk Materials”:CEMA)

 

1. Troughed belt load areas

 

• Traperzoidal area

Ab = {0.371b+0.25+(0.2595b-1.025) cos𝛽} × {(0.2595b-1.025) sin𝛽}

     = (      ) (in^2)

- b = width of belt (inches)

- 𝛽= angle of idler roll (° degrees)

 

or

Ab = {0.371×b/1000+0.00635+(0.2595×b/1000-0.026035)×cos𝛽} ×

        {(0.2595×b/1000-0.026035)×sin𝛽}

      = (      ) (m^2)

- b = width of belt (mm)

- 𝛽= angle of idler roll (° degrees)

 

• Surcharge(Circular segment) area

As = [{0.1855b+0.125+(0.2595b-1.025) cos𝛽} / sin𝛼]^2 ×

        {(π𝛼/ 180)-(sin2𝛼/ 2)}

     = (      ) (in^2)

- b = width of belt (inches)

- 𝛼= angle of surcharge (° degrees)

- 𝛽= angle of idler roll (° degrees)

 

or

As = [{0.1855×b/1000+0.003175+(0.2595×b/1000-0.026035) ×

          cos𝛽}/sin𝛼]^2×{(π𝛼/ 180)-(sin2𝛼/ 2)}

     = (      ) (m^2)

- b = width of belt (mm)

- 𝛼= angle of surcharge (° degrees)

- 𝛽= angle of idler roll (° degrees)

 

• Total loading area

At = Ab+As = (      ) (in^2) = (Ab+As)/144 (ft^2)

- b = width of belt (inches)

 

or

At = Ab+As = (      ) (m^2)

- b = width of belt (mm)

 

2. Belt capacity

 

• Max. capacity

Q = {(60×At×V×ϒ) / Mc} × 100

   = (      ) (ton/hr)

- At = total loading area (m^2)

- V = belt speed (m/min)

- ϒ = material density (ton/m^3)

- Mc = capacity margin (%)