Probabilistic Multiple Pedestrian Walking Force Model including Pedestrian Inter- and Intrasubject Variabilities

Table 1

Intermediate points between the five control points.

Points	Comp.	Left footfall	Right footfall
P2	Time (s)	0.134 × P14	0.1374 × P14	0.98
	Load (NBW)	0.3496 × P3 − 0.01745	0.4914 × P3 − 0.01233	0.51
P3	Time (s)	0.1964 × P14	0.1976 × P14	0.99
	Load (NBW)	0.8065 × P6 − 0.02741	0.7426 × P6 − 0.00763	0.81
P4	Time (s)	0.203 × P14	0.203 × P14	0.99
	Load (NBW)	0.8518 × P6 − 0.02441	0.7774 × P6 − 0.00468	0.86
P5	Time (s)	0.214 × P14	0.2147 × P14	0.99
	Load (NBW)	0.8976 × P6 − 0.0191	0.8443 × P6 − 0.0029	0.88
P6	Time (s)	0.2413 × P14	0.2395 × P14	0.99
	Load (NBW)	0.6809 × P7 − 0.002679	0.5926 × P7 + 0.02623	0.65
P7	Time (s)	0.3039 × P14	0.3055 × P14	0.99
	Load (NBW)	0.6579 × P9 − 0.03286	0.6622 × P9 − 0.04168	0.60
P8	Time (s)	0.3567 × P14	0.3564 × P14	0.99
	Load (NBW)	0.8612 × P9 − 0.0705	0.8826 × P9 − 0.0933	0.83
P9	Time (s)	0.4549 × P14	0.4542 × P14	0.99
	Load (NBW)	1.017 × P10 − 0.176	0.9739 × P10 − 0.1276	0.78
P10	Time (s)	0.5887 × P14 − 0.00894	0.5892 × P14 − 0.0092585	0.99
	Load (NBW)	0.861 × P14 − 0.126	0.8451 × P14 − 0.1059	0.63
P11	Time (s)	0.6469 × P14	0.6464 × P14	0.99
	Load (NBW)	0.8339 × P14 − 0.03597	0.826 P14 − 0.0275	0.73
P12	Time (s)	0.7145 × P14	0.7139 × P14	0.99
	Load (NBW)	0.8368 × P14 + 0.02732	0.8392 × P14 + 0.02514	0.84
P13	Time (s)	0.8331 × P14	0.8331 × P14	0.99
	Load (NBW)	0.8991 × P14 + 0.0529	0.8935 × P14 + 0.05292	0.95
P14	Time (s)	First peak time	First peak time
	Load (NBW)	First peak load	First peak load
P15	Time (s)	(0.8111 × (P20 − P14) + 0.0093) − P20	(0.8178 × (P20 − P14) + 0.00822) − P20	0.96
	Load (NBW)	(0.9436 × (P14 − P20) − 0.00708) + P20	(0.9398 × (P14 − P20) − 0.00606) + P20	0.99
P16	Time (s)	(0.6888 × (P20 − P14) + 0.00805) − P20	(0.6861 × (P20 − P14) + 0.00857) − P20	0.96
	Load (NBW)	(0.8273 × (P14 − P20) − 0.01898) + P20	(0.8249 × (P14 − P20) − 0.0216) + P20	0.98
P17	Time (s)	(0.5516 × (P20 − P14) + 0.00057) − P20	(0.5498 × (P20 − P14) + 0.00608) − P20	0.95
	Load (NBW)	(0.6103 × (P14 − P20) − 0.02642) + P20	(0.6074 × (P14 − P20) − 0.02972) + P20	0.95
P18	Time (s)	(0.4255 × (P20 − P14) + 0.00465) − P20	(0.4902 × (P20 − P14) + 0.00553) − P20	0.94
	Load (NBW)	(0.4005 × (P14 − P20) − 0.02347) + P20	(0.4843 × (P14 − P20) − 0.0262) + P20	0.92
P19	Time (s)	(0.3161 × (P20 − P14) + 0.00273) − P20	(0.3119 × (P20 − P14) + 0.00347) − P20	0.94
	Load (NBW)	(0.4005 × (P14 − P20) − 0.02347) + P20	(0.4843 × (P14 − P20) − 0.0262) + P20	0.87
P20	Time (s)	Valley time	Valley time
	Load (NBW)	Valley load	Valley load
P21	Time (s)	P25 − (1.026 × (P25 − P20) − 0.03)	P25 − (1.015 × (P25 − P20) − 0.0282)	0.99
	Load (NBW)	(0.0631 × (P25 − P20) − 0.00098) + P20	(0.0631 × (P25 − P20) − 0.00128) + P20	0.55
P22	Time (s)	P25 − (1.05 × (P25 − P20) − 0.0602)	P25 − (1.027 × (P25 − P20) − 0.05638)	0.96
	Load (NBW)	(0.2488 × (P25 − P20) − 0.01212) + P20	(0.2485 × (P25 − P20) − 0.01766) + P20	0.67
P23	Time (s)	P25 − (1.067 × (P25 − P20) − 0.0886)	P25 − (1.042 × (P25 − P20) − 0.0843)	0.93
	Load (NBW)	(0.5145 × (P25 − P20) − 0.03621) + P20	(0.5223 × (P25 − P20) − 0.04667) + P20	0.77
P24	Time (s)	P25 − (1.055 × (P25 − P20) − 0.119)	P25 − (1.034 × (P25 − P20) − 0.1159)	0.87
	Load (NBW)	(0.8567 × (P25 − P20) − 0.06745) + P20	(0.869 × (P25 − P20) − 0.07883) + P20	0.88
P25	Time (s)	Second peak time	Second peak time
	Load (NBW)	Second peak load	Second peak load
P26	Time (s)	1.071 × P25 − 0.00321	1.088 × P25 − 0.01337	0.95
	Load (NBW)	0.847 × P25 + 0.1096	0.8612 × P25 + 0.09151	0.88
P27	Time (s)	1.104 × P25 − 0.00545	1.128 × P25 − 0.01955	0.97
	Load (NBW)	0.6564 × P25 + 0.2541	0.7104 × P25 + 0.1869	0.63
P28	Time (s)	1.138 × P25 − 0.00654	1.171 × P25 − 0.02611	0.96
	Load (NBW)	0.9204 × P27 − 0.0917	0.9204 × P27 − 0.0348	0.63
P29	Time (s)	1.159 × P25 − 0.00755	1.195 × P25 − 0.02911	0.96
	Load (NBW)	1.073 × P28 − 0.1533	1.073 × P28 − 0.1561	0.89
P30	Time (s)	1.182 × P25 − 0.009348	1.219 × P25 − 0.03154	0.95
	Load (NBW)	1.138 × P28 − 0.3101	1.092 × P28 − 0.2793	0.77
P31	Time (s)	1.207 × P25 − 0.01035	1.248 × P25 − 0.03463	0.93
	Load (NBW)	1.092 × P30 − 0.2017	1.017 × P30 − 0.1811	0.93
P32	Time (s)	1.245 × P25 − 0.01227	1.289 × P25 − 0.03903	0.94
	Load (NBW)	0.9973 × P30 − 0.321	0.841 × P30 − 0.2263	0.85
P33	Time (s)	1.345 × P25 − 0.01648	1.399 × P25 − 0.0495	0.88
	Load (NBW)	μ = 0.0634 s = 0.029	μ = 0.0617 s = 0.0237
P34	Time (s)	Step contact time	Step contact time
	Load (NBW)	0	0