Estimates of ionizing dose and neutron fluence have been made for typical SSC detector configurations exposed to radiation from p-p collisions. Using standard descriptions of average events in conjunction with simulations of secondary processes, it is found that in most cases the radiation exposure can be parameterized by functions of the form A {l angle}p{perpendicular} {r angle} {sup {alpha}} cosh {sup {alpha} {eta}}, where {eta} (= - In tan {theta}/2) is the pseudorapidity, the exponent {alpha} lies between 0.5 and 1.0, and {alpha}{prime} = {alpha} + 2, depending upon the problem. A calorimeter element 2 m from interaction point and 6{degree} from the beam line is subjected to an annual dose is 0.1 MGy at shower maximum. The annual neutron fluence in a central cavity of this radius exceeds 10{sup 12} cm{sup {minus}2}. The annual dose from the direct flux of charged particles scales inversely as the square of the distance from the beam line and is 0.4 MGy at 1 cm. A detector at an 8 TeV on 8 TeV p-p collider with the same physics reach'' would experience about 27 times as much radiation. 21 refs., 7 figs., 2 tabs.