HP-35s Calculator Program Compute Horizontal Curve Values given only 2 Parameters

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Program for HP35s Calculator Page 1 HP-35s Calculator Program Compute Horizontal Curve Values given only 2 Parameters Author: This program is based on a program written by Dr. Bill Hazelton (http://www.wollindina.com/hp-35s/hp-35s_curves_1a.pdf). Some modifications and additions were made to the original program 2013 J. E. Charalambides Date: August 16 2015 Line Instruction Process User Instruction H001 LBLH Establishing the library H002 CLSTK H003 FS? 10 H004 GTO H008 H005 SF 1 H006 SF 10 H007 GTO H011 H008 CF 1 H009 SOLVING FOR Key in using EQN, RCL S, RCL O, et H010 PSE H011 HORIZ CURVE H012 PSE H013 Clx H014 STO C H015 STO R H016 STO Q H017 STO T H018 STO A H019 CLΣ H020 CHORD LENGTH H021 PSE Nomenclature: H022 IN STATIONS H023 PSE A = Length of Arc (in Stations) H024 INPUT C B = Segment Area H025 C = Chord Length (in Stations) H026 Σ+ D = Degrees of Curvature H027 RADIUS IN STAT E = External Distance H028 PSE I = Influence factor H029 INPUT R M = Mid Ordinate H030 What is indicated as I in the diagram is Q in the program O = OCR H031 Σ+ P = Applied load H032 DEFLECTION Q = Angle of Deflection H033 PSE R = Radius (In stations) H034 INPUT Q T = Tangent Length (In Stations) H035 RCL Q X = Station PC H036 STO Q Y = Station PI H037 Z = Station PT H038 Σ+ H039 TANGENT LENGTH H040 PSE H041 IN STATIONS H042 PSE H043 INPUT T H044 H045 Σ+ H046 ARC LENGTH STAT H047 PSE H048 INPUT A H049 H050 Σ+ H051 2 H052 n H053 x<y? H054 GTO H108 H055 x=y? H056 GTO H062 H057 ONLY 2 INPUTS H058 PSE

H059 SET 1 TO 0! H060 PSE H061 GTO H013 H062 RCL C H063 x=0? H064 GTO H078 H065 RCL R H066 H067 GTO H113 H068 RCL Q H069 H070 GTO H117 H071 RCL T H072 H073 GTO H121 H074 RCL A H075 H076 GTO H145 H077 GTO H108 H078 RCL R H079 x=0? H080 GTO H091 H081 RCL Q H082 H083 GTO H125 H084 RCL T H085 H086 GTO H129 H087 RCL A H088 H089 GTO H133 H090 GTO H108 H091 RCL Q H092 x=0? H093 GTO H101 H094 RCL T H095 H096 GTO H137 H097 RCL A H098 H099 GTO H141 H100 GTO H108 H101 RCL T H102 x=0? H103 GTO H108 H104 RCL A H105 x=0? H106 GTO H108 H107 GTO H149 H108 NOT ENOUGH H109 PSE H110 DATA RE-ENTER! H111 PSE H112 GTO H013 H113 XEQ H188 H114 XEQ H258 H115 XEQ H218 H116 GTO H152 H117 XEQ H224 H118 XEQ H258 H119 XEQ H218 H120 GTO H152 H121 XEQ H209 H122 XEQ H224 H123 XEQ H218 Program for HP35s Calculator Page 2

H124 GTO H152 H125 XEQ H249 H126 XEQ H258 H127 XEQ H218 H128 GTO H152 H129 XEQ H202 H130 XEQ H249 H131 XEQ H218 H132 GTO H152 H133 XEQ H197 H134 XEQ H249 H135 XEQ H258 H136 GTO H152 H137 XEQ H240 H138 XEQ H224 H139 XEQ H218 H140 GTO H152 H141 XEQ H234 H142 XEQ H249 H143 XEQ H258 H144 GTO H152 H145 XEQ H268 H146 XEQ H224 H147 XEQ H258 H148 XEQ H152 H149 XEQ H287 H150 XEQ H234 H151 XEQ H249 H152 RCL Q H153 RAD H154 RCL Q H155 SIN H156 - H157 RCL R H158 x^2 H159 H160 2 H161 H162 STO B H163 SOLUTION H164 PSE H165 CHORD H166 PSE H167 VIEW C H168 RADIUS H169 PSE H170 VIEW R H171 TANGENT H172 PSE H173 VIEW T H174 ARCH LENGTH H175 PSE H176 VIEW A H177 RCL Q H178 STO Q H179 DEFLECTION θ H180 PSE H181 VIEW Q H182 RCL Q H183 STO Q H184 SEGMENT AREA H185 PSE H186 VIEW B H187 GTO H308 H188 RCL C Program for HP35s Calculator Page 3

H189 2 H190 H191 RCL R H192 ASIN H193 2 H194 H195 STO Q H196 RTN H197 RCL A H198 RCL R H199 DEG H200 STO Q H201 RTN H202 RCL T H203 RCL R H204 ATAN H205 2 H206 H207 STO Q H208 RTN H209 RCL C H210 2 H211 H212 RCL T H213 ACOS H214 2 H215 H216 STO Q H217 RTN H218 RCL R H219 RCL Q H220 RAD H221 H222 STO A H223 TRTN H224 RCL C H225 2 H226 H227 RCL Q H228 2 H229 H230 SIN H231 H232 STO R H233 RTN H234 RCL A H235 RCL Q H236 RAD H237 H238 STO R H239 RTN H240 2 H241 RCL T H242 RCL Q H243 2 H244 H245 COS H246 H247 STO C H248 RTN H249 2 H250 RCL R H251 RCL Q H252 2 H253 Program for HP35s Calculator Page 4

H254 SIN H255 H256 STO C H257 RTN H258 RCL C H259 2 H260 H261 RCL Q H262 2 H263 H264 COS H265 H266 STO T H267 RTN H268 0 H269 STO U H270 RCL A H271 RCL C H272 1 H273 - H274 0.06 H275 H276 x H277 DEG H278 STO Q H279 FN= U H280 SOLVE Q H281 RTN H282 CANNOT SOLVE H283 PSE H284 WITH THESE DATA H285 PSE H286 GTO H308 H287 1 H288 STO U H289 RCL T H290 RCL A H291 0.5 H292 - H293 7 H294 H295 RCL A H296 RCL T H297 x^2 H298 H299 DEG H300 STO Q H301 FN= U H302 SOLVE Q H303 RTN H304 CANNOT SOLVE H305 PSE H306 WITH THESE DATA H307 PSE H308 RCL Q H309 4 H310 H311 TANGENT H312 RCL T H313 H314 STO E H315 RCL E H316 RCL Q H317 2 H318 Program for HP35s Calculator Page 5

Program for HP35s Calculator Page 6 H319 COS H320 +/- H321 1 U001 LBL U H322 + U002 RCL U H323 RCL R U003 x=0? H324 U004 GTO U017 H325 STO M U005 RCL Q H326 EXT DISTANCE U006 2 H327 PSE U007 H328 VIEW E U008 TAN H329 MID ORDINATE U009 RCL Q H330 PSE U010 RAD H331 VIEW M U011 H332 5729.58 U012 RCL T H333 RCL R U013 RCL A H334 U014 - H335 STO D U015 DEG H336 DEG CURVATURE U016 RTN H337 PSE U017 RCL Q H338 VIEW D U018 2 H339 IS PC AVAILABLE U019 H340 PSE U020 SIN H341 INPUT X If PC is available use its own value, else use 0 U021 2 H342 x=0? U022 H343 GTO H008 U023 RCL Q H344 H358 U024 RAD H345 SOLVING PI U025 H346 PSE U026 RCL C H347 RCL T U027 RCL A H348 + U028 - H349 STO Y U029 DEG H350 VIEW Y U030 RTN H351 SOLVING PT H352 PSE H353 RCL X H354 RCL A H355 + H356 STO Z H357 VIEW Z H358 GTO H393 H359 IS PI AVAILABLE H360 PSE H361 INPUT Y If PI is available use its own value, else use 0 H362 x=0? H363 GTO H376 H364 SOLVING PC H365 PSE H366 RCL T H367 - H368 STO X H369 VIEW X H370 SOLVING PT H371 PSE H372 RCL A H373 + STO Z H374 VIEW Z H375 GTO H393 H376 IS PT AVAILABLE If PT is available use its own value, else use 0 H377 PSE H378 INPUT Z H379 x=0? H380 GTO H393 H381 SOLVING PC H382 PSE H383 RCL A

H384 - H385 STO X H386 VIEW X H387 SOLVING PT H388 PSE H389 RCL T H390 + H391 STO Y H392 VIEW Y H393 CLSTK H394 FS? 10 H395 CF 10 H396 STOP H397 RTN Program for HP35s Calculator Page 7