I have seen this debated so many times I wanted to see what the actual figures are for the different combinations. Here is what I came up with... Please check my math in case I'm having a brain fart...
All parameters pulled from FSM of Mud FAQ
Stock parameters
3-speed tranny 1st gear = 2.755, t-case = 2.313, diff = 4.11,
Crawl Ratio: 26:17
4-speed tranny 1st gear = 3.555, t-case = 1.99, diff = 4.11 ,
Crawl Ratio: 29.2:1
4-sp tranny with 3 sp t-case
4-speed tranny 1st gear = 3.555, t-case = 2.313, diff = 4.11 ,
Crawl Ratio = 33.79:1
Using 750 RPM for the engine, no clutch slipping... flat ground...
We can calculate the actual ground speed in inches per second for all cases. We will use 33" tires which have a circumference of 103.67 for the calculations.
Tire RPM = Engine RPM(750)/Crawl Ratio
So Tire RPM x tire circumference/60 = Ground speed per second
Forward ground speed per second in inches:
3-speed tranny, 3-speed t-case, 4.11 diffs 33" tires:
49.44
4-speed tranny, 4-speed ticase, 4.11 diffs, 33" tires:
44.57
4-speed tranny, 3-speed t-case, 4.11 diffs, 33" tires:
38.35
So there is a 16.21% reduction in forward ground speed [ ((44.57/38.35) * 100)-100 ] using the 3-speed t-case vs. the 4-speed t-case with the 4-speed tranny. I'll take that 16.21% difference!
For those going from the 3-speed tranny to the 4 -speed tranny with 3-speed t-case you will see a 28.91% reduction in forward ground speed!
I have a spreadsheet set up to calculate this stuff with tire sizes from 29" to 40 inch if someone is interested. You can enter the engine RPM, diff ratio, tranny 1st gear ratio and t-case ratio. It also has the ratios listed for many other transmissions and t-cases.
I would like verification of the math? I'm not that great at this stuff...
Link to spreadsheet:
www.globalsoftware-inc.com/coolerman/fj40/gearcalc.xls