(42S) Solver: Length of a V Belt
05-06-2019, 11:42 AM
Post: #1
 Eddie W. Shore Senior Member Posts: 1,358 Joined: Dec 2013
(42S) Solver: Length of a V Belt
Blog Entry:

The following equation relates the length of a V belt, the center to center distance between two pulleys or sheaves:

L = 2 * C + 1.57 * (D + d) + (D - d)^2/(4 * C)

where:

L = length of the V belt, the belt that wraps around two pulleys (or sheaves)
C = center to center distance
D = diameter of the large pulley/sheave
d = diameter of the small pulley/sheave

Use the SOLVER function win calling VBELT.

LPULLEY: large pulley/sheave diameter
SPULLEY: small pulley/sheave diameter

Code:
LBL "VBELT" MVAR "LENGTH" MVAR "CENTER" MVAR "LPULLEY" MVAR "SPULLEY" 2 RCL * "CENTER" RCL "LPULLEY" RCL + "SPULLEY" 1.57 * + RCL "LPULLEY" RCL - "SPULLEY" X ↑ 2 4  ÷ RCL ÷ "CENTER" + RCL - "LENGTH" END

Example 1:
Large Pulley Diameter = 1 in
Small Pulley Diameter = 3/4 in
Center to Center Distance = 1.5 in
Result: V Belt Length ≈ 5.7579 in

Example 2:
Large Pulley Diameter = 1 in
Small Pulley Diameter = 7/16 in
V Belt Length = 6.24 in
Result: Center to Center Distance ≈ 1.975 in

Source:

Gladstone, John "Air Conditioning Testing and Balancing: A Field Practice Manual" Van Nostrand Reinhold Company: New York. 1974 ISBN 0-442-22703-5
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