battleaxe0
Guru
This graphic is not meant to be modern art. It's a bird's eye sketch of the relationship between the hips and pedals when the boom is in neutral vs angled left (red) and angled right (green). If you are ready for some seriously geeky analysis, keep reading below.
View attachment 665
I wanted to quantify the change in distance between the hips and pedals that comes from the upper body angling the boom. I turned our kitchen table into a drafting table, and set up a scale drawing based on 24 inches from the steerer (head tube) axis of rotation to the middle of the BB axle. For calculation purposes, I used 2 inches of lateral movement of the BB axle, which corresponds to 4.76 degrees left and 4.76 degrees right angling. I used a distance of 12 inches for the center-to-center distance of the human hips....
View attachment 666
Next I used a "stance width" of 268 mm for a typical road bike crankset, from this excellent article.
View attachment 668
Next, I calculated the total change in distance from the hip to the ipsilateral (same side) pedal with boom angling, when the pedal is straight up or down, which is 1.125 inches or 2.86 cm.
Next I calculated the average speed of the fore/aft movement of the pedals at a cadence of 80 rpm, calculating that to be 76.2 mm/sec.
Then using a little calculus, estimated the peak speed of the pedal to be 120mm/sec (0.12 m/s).
View attachment 669
So now, in the Force diagram below, I inserted an approximate speed for the BB-end of the crank. Now I am not sure how to calculate the effect of that motion on torque. I'll sleep on it tonight, but let me know if you have any insights.
Jim
View attachment 675
Let me further this line of thinking, but philosophically instead of mathematically (it's been too many years since multi-dimensional calculus).
We have 3 different actions - sitting up, pulling on the bars, and swinging the bottom bracket side to side.
When you sit up, you do 2 things - you close the hip angle and shorten the boom. Closing the hip angle is what Lightning swears is the secret sauce to the climbing prowess of their bikes. Whether that's true or not, it is one of the effects. As you sit up and your hips close, you slightly rotate your hips which rolls the hip joints slightly towards your feet. In essence this shortens the boom, which changes the knee angles slightly and lets you use slightly different parts of your leg muscles that have untapped or less tapped potential.
Pulling on the bars and swinging the BB side to side has the effect of putting slightly more power into the end of the power stroke, which speeds the pedal from about 12-3 o'clock. This is a similar concept to Q-rings. Get through the power stroke faster which also gets the opposite leg through the dead zone faster.
Moving the BB side to side also shortens the distance between power hip and its foot, but lengthens the distance between opposite hip and its foot. In essence, you've shortened the cranks.
These effects are all in silly millimeters and milliseconds, but they compound. You turn your Cruzbike into a Lightning with shorter boom, Q ring, and shorter cranks.