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Engineering Expert Witness Blog



Published by Philip J. O'Keefe, PE, MLE



Last Build Date: Mon, 17 Jul 2017 20:37:22 +0000

 



Determining Angle of Wrap

Mon, 17 Jul 2017 19:57:12 +0000

Sometimes things which appear simple turn out to be rather complex. Such is the case with the Euler-Eytelwein Formula, a small formula with a big job.



The Angle of Wrap Formula

Thu, 06 Jul 2017 00:02:29 +0000

    Last time we introduced a scenario involving a hydroponics plant powered by a gas engine and multiple pulleys.   Connecting the pulleys is a flat leather belt.  Today we’ll take a step further towards determining what width that belt needs to be to maximize power transmission efficiency.   We’ll begin by revisiting the two T’s of […]



What Belt Width does a Hydroponics Plant Need?

Fri, 23 Jun 2017 12:43:38 +0000

An engineer is tasked with designing an irrigation system for a hydroponics plant. Pulley 1 is connected to the shaft of a water pump, while Pulley 2 is connected to the shaft of a small gasoline engine.



Another Specialized Application of the Euler-Eyelewein Formula

Tue, 13 Jun 2017 19:14:38 +0000

    Last week we saw how friction coefficients as used in the Euler-Eyelewein Formula, can be highly specific to a specialized application, U.S. Navy ship capstans.   In fact, many diverse industries benefit from aspects of the Euler-Eytelwein Formula.   Today we’ll introduce another engineering application of the Formula, exploring its use within the irrigation system of […]



Navy Capstans and the Development of Specialized Friction Coefficients

Sun, 04 Jun 2017 20:21:40 +0000

Capstans are similar to pulleys but have one key difference, they’re made so rope can be wound around them multiple times.



Angle of Wrap in the Euler-Eytelwein Formula

Thu, 25 May 2017 17:58:14 +0000

    Last time we learned that the two T’s in the Euler-Eytelwein Formula correspond to different belt tensions on either side of a pulley wheel in a pulley-belt assembly. Today we’ll see what the remaining variables in this famous Formula are all about, paying special attention to the angle of wrap that’s formed by the […]



The Two T’s of the Euler-Eytelwein Formula

Sun, 14 May 2017 18:52:09 +0000

    Last time we introduced some of the variables in the Euler-Eytelwein Formula, an equation used to examine the amount of friction present in pulley-belt assemblies.   Today we’ll explore its two tension-denoting variables, T1 and T2.    Here again is the Euler-Eytelwin Formula,where, T1 and  T2 are belt tensions on either side of a pulley, T1 = […]



A First Look at the Euler-Eytelwein Formula

Sat, 06 May 2017 01:33:46 +0000

Ideally, you want no slippage between belt and pulleys, but the only way for that to happen is if you have perfect friction between their surfaces....



A Pulley Speed Ratio Formula Application

Sat, 22 Apr 2017 01:27:49 +0000

Now, let’s apply Equation (1) to an example in which a blower must deliver a specific air flow to a building’s ventilating system.



Pulley Diameter Determines Speed

Sat, 08 Apr 2017 10:57:52 +0000

    Soon after the first pulleys were used with belts to transmit mechanical power, engineers such as Leonhard Euler and Johann Albert Eytelwein discovered that the diameter of the pulleys used determined the speed at which they rotated.   This allowed for a greater diversity in mechanical applications.   We’ll set up an examination of this phenomenon today. […]