requirements. However, the design principles of the TMB planing float already 

 had been developed when the catenary-sweep project was initiated. Further- 

 more, the analysis of experimental data in this report is applied only to the 

 planing regime. To provide the necessary background on the development of 

 this float, the principal features of the float, its characteristics in the 

 displacement regime, and the design features as used for the catenary sweep 

 will be discussed before proceeding with the present topics. 



DESIGN OP THE TMB PLANING FLOAT 



The TMB planing float has been completely described in Reference 

 (2). It is symmetrical about a horizontal plane and about a longitudinal 

 vertical plane . The bow is in the form of two elliptical cones which are 

 faired into flat plates forming an angle of dead rise of 10 degrees. A 

 sketch of the float in which the dimensions are referred to the beam b is 

 shown in Figure 2. The float surfaces are completely developable, as shown 



Bow Ellipse 



Bow Ellipse 



on Centerline 



on Chines 



x/b 



y/b 



x'/b 



y'/b 







0.3125 







0.2243 



0.10 



0.3066 



0.10 



0.2189 



0.20 



0.2963 



0.15 



0.2115 



0.30 



0.2744 



0.20 



0.2009 



0.40 



0.2403 



0.25 



0.1862 



0.45 



0.2170 



0.30 



0.1665 



0.50 



0.1875 



0.35 



0.1404 



0.55 



0.1484 



0.40 



0.1016 



0.60 



0.0875 



0.4486 







0.625 











Towline 



Figure 2 - Dimensioned Sketch of TMB Planing Float 



All dimensions are referred to a selected beam 4. 



in Figure 3; the analytical methods employed in arriving at the developable 

 shape as well as a history of the development of the float are given in Refer- 

 ence (2). A photograph of a TMB planing float, 4l inches in length, is shown 



