17.5: Appendix E- The Coefficient c1

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**Table E-1: c₁ for h_b/h_i=1.**
h_b/h_i=1	φ	32^o	37^o	42^o	47^o	52^o
α	δ
15^o	15^o	0.104	0.118	0.132	0.146	0.162
	18^o	0.119	0.134	0.150	0.167	0.186
	21^o	0.133	0.150	0.169	0.189	0.210
	24^o	0.147	0.167	0.188	0.211	0.236
	27^o	0.162	0.184	0.209	0.235	0.264
	30^o	0.177	0.202	0.229	0.259	0.292
30^o	15^o	0.175	0.203	0.234	0.268	0.306
	18^o	0.195	0.227	0.261	0.300	0.343
	21^o	0.215	0.251	0.290	0.334	0.384
	24^o	0.236	0.276	0.320	0.370	0.427
	27^o	0.257	0.302	0.352	0.409	0.474
	30^o	0.279	0.329	0.385	0.450	0.525
45^o	15^o	0.254	0.304	0.360	0.425	0.502
	18^o	0.279	0.334	0.398	0.472	0.560
	21^o	0.305	0.367	0.438	0.523	0.624
	24^o	0.332	0.401	0.482	0.578	0.695
	27^o	0.360	0.437	0.529	0.639	0.774
	30^o	0.390	0.477	0.580	0.706	0.863
60^o	15^o	0.360	0.445	0.547	0.671	0.826
	18^o	0.393	0.488	0.604	0.746	0.928
	21^o	0.428	0.535	0.666	0.831	1.045
	24^o	0.466	0.587	0.736	0.928	1.180
	27^o	0.507	0.643	0.815	1.039	1.341
	30^o	0.553	0.707	0.905	1.169	1.534

The dimensionless force c₁, in the direction of the cutting velocity, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for h_b/h_i=1.

**Table E-2: c₁ for h_b/h_i=2.**
h_b/h_i=2	φ	32^o	37^o	42^o	47^o	52^o
α	δ
15^o	15^o	0.106	0.119	0.133	0.148	0.163
	18^o	0.120	0.135	0.152	0.169	0.187
	21^o	0.135	0.152	0.171	0.191	0.213
	24^o	0.149	0.169	0.191	0.214	0.239
	27^o	0.164	0.187	0.211	0.237	0.267
	30^o	0.179	0.205	0.232	0.262	0.296
30^o	15^o	0.185	0.214	0.246	0.281	0.320
	18^o	0.207	0.240	0.276	0.317	0.362
	21^o	0.230	0.267	0.308	0.354	0.407
	24^o	0.254	0.296	0.342	0.395	0.455
	27^o	0.278	0.325	0.378	0.437	0.507
	30^o	0.303	0.356	0.415	0.483	0.563
45^o	15^o	0.282	0.335	0.396	0.466	0.547
	18^o	0.313	0.373	0.441	0.521	0.616
	21^o	0.345	0.412	0.490	0.582	0.692
	24^o	0.379	0.454	0.543	0.648	0.775
	27^o	0.414	0.499	0.600	0.721	0.869
	30^o	0.452	0.547	0.662	0.801	0.974
60^o	15^o	0.415	0.509	0.622	0.760	0.932
	18^o	0.458	0.565	0.693	0.853	1.056
	21^o	0.504	0.625	0.772	0.958	1.197
	24^o	0.554	0.690	0.860	1.077	1.362
	27^o	0.607	0.762	0.958	1.213	1.556
	30^o	0.665	0.843	1.070	1.372	1.787

The dimensionless force c₁ in the direction of the cutting velocity, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for h_b/h_i=2.

**Table E-3: c₁ for h_b/h_i=3.**
h_b/h_i=3	φ	32^o	37^o	42^o	47^o	52^o
α	δ
15^o	15^o	0.105	0.119	0.133	0.148	0.164
	18^o	0.120	0.135	0.152	0.169	0.188
	21^o	0.135	0.152	0.171	0.192	0.214
	24^o	0.150	0.170	0.191	0.215	0.240
	27^o	0.165	0.188	0.212	0.239	0.268
	30^o	0.180	0.206	0.234	0.264	0.298
30^o	15^o	0.185	0.215	0.247	0.282	0.322
	18^o	0.208	0.241	0.278	0.318	0.364
	21^o	0.232	0.269	0.310	0.357	0.410
	24^o	0.256	0.298	0.345	0.398	0.459
	27^o	0.280	0.328	0.381	0.441	0.511
	30^o	0.306	0.359	0.419	0.488	0.569
45^o	15^o	0.290	0.345	0.408	0.480	0.565
	18^o	0.324	0.386	0.457	0.541	0.640
	21^o	0.359	0.429	0.511	0.607	0.722
	24^o	0.396	0.476	0.568	0.679	0.813
	27^o	0.436	0.525	0.631	0.758	0.914
	30^o	0.478	0.579	0.699	0.846	1.029
60^o	15^o	0.439	0.538	0.657	0.802	0.983
	18^o	0.489	0.601	0.737	0.906	1.120
	21^o	0.542	0.670	0.826	1.024	1.278
	24^o	0.599	0.744	0.926	1.157	1.461
	27^o	0.660	0.827	1.037	1.310	1.676
	30^o	0.728	0.918	1.163	1.487	1.933

The dimensionless force c₁ in the direction of the cutting velocity, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for h_b/h_i=3.