Analysis on the Relationship between Track-distance and Bearing-capacity of the Tracked Vehicles by the Theory of Plasticity

Abstract

The ground compressing system of the tracked vehicles is regarded as the two parallel strip loads.
Now, if load-distance between such two loads is sufficiently large, Terzaghi's solutin is app licable, but app roaching each other the two loads closer than a certain limit distance, the interference of the two loads takes place and prandtl's slip line field does not exist.
The studies on the bearing capacity for such load-system have been hardly performed in comparison with those for single strip load.
Then the authors deduced the following approximate equations for the bearing capacity of the two parallel strip loads, assuming that the soil weight is negligible.
(A) A/B≤1.429φ²+0.283φ+0.146
F/BC=F₁(1+A/2B)
(B) A/B≥1.429φ²+0.283φ+0.146
F/BC=F₁{1+(Fo-F₁)exp
(-A/B/0.05(10φ)1.35+0.303)}
where
Fo/BC={φ≠0: {(1+sinφ)⋅;exp[(3π/2+φ)tanφ]
φ=0: 5.712
-1}cotφ
F₁/BC…{φ≠0: {tan²(π/4+φ/2)⋅exp (πtanφ)-1}
φ=0: 5.142 cotφ
F: bearing capacity under two parallel strip loads.
φ: soil internal friction
C: soil cohesion
A: load distance
B: load width