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# PDF (DX094490.pdf) - White Rose Etheses Online

PDF (DX094490.pdf) - White Rose Etheses Online

## 19 The research carried

19 The research carried out at TRRL since then has been concentrated on estimating predictive equations for the constants in equation 2.15. These constants were related to geometric parameters of each roundabout. Initially two sets of equations were published, one for conventional the other for offside priority roundabouts. Eventually one unified formula was developed. Here the formulae relating to conventional round- abouts will be described, as well as the unified set, because they are the basis of the design methods of TE Design Note No. 1, (see section 2.7). The equations for conventional roundabouts were presented by Philbrick (1977). The linear model was presented in the following form = F-fQ where QE: the entry flow (pcu/hr), the circulating flow (pcu/hr), and F constants for each site. (eq. 2.16) The relationship of and F to traffic and geometric parameters was examined. It was concluded that no traffic parameter significantly explained the results, while from the geometric ones the following were significant: e 1 : the entry width (in) which was the most significant factor, r 1 : the radius of entry Cm), w: the section width (in). The two best relationships for the parameters were = 0.0449 (2e 1 - w) + 0.282 (eq.2.17) F 233 e 1 (1.5 - i/IF) - 255 (eq.2.18)

20 Philbrick concluded that the new formulae were much more successful than Wardrop's formula at predicting the within- sections variation of and but that the equations chosen were unlikely to represent the final solution for design purposes. The general form is: The unified formulae were presented by Kimier (1980). Q = k(-fQ) whenfQ . F e C C C C = 0 whenfQ >F cc where k = 1 - 0.00347(q -30) - 0.978(( . ) - 0.05), F= 303 x2, tD = 0210 tD(1 ^ 0.2 x2), = 1 ^ 0.5/(1 + exp(D - 60) 40) ), X2 = v+ (e-v)/(1+s), S = (e-v)/ (= l.6(e-v)/L) (eq.2.19) where the geometric parameters used are (with their respective ranges): e: the entry width, 3.6 - 16.5 Cm), v: the approach road half-width, 1.9 - 12.5 (m) 9: the average effective length over which the flare is developed, 1 - (m), : approximately , = S: the sharpness of flare, S = (e-v)/, 0 - 2.9, D: the inscribed circle diameter, 13.5 - 171.6 (m), : the angle of entry, 0 - 77 (degrees), r: the entry radius, 3.4 - (m) The primary elements of design are e and L (or 2.).. • A method has been described allowing the equations to be corrected to

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