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# Arches. Tables for Statistical Analyses by Jan Szymczyk, Jerzy Mutermilch

By Jan Szymczyk, Jerzy Mutermilch

Arches: Tables for Statistical Analyses offers a desk used for simplifying the calculations of numerical selection of the significance of the interior forces in a number of cross-sections. After the evaluate of the redundancies, one of many phases within the research of statistically indeterminate arches is for the investigator to figure out the magnitudes of the conventional forces and bending moments at quite a few cross-sections. quite a few sections may be thought of to ensure that the investigator to get a correct photo of the distribution of the generalized inner forces. Such variety of sections varies among 10 and 20. To simplify the calculations, the ebook vitamins the most tables for the vertical and horizontal parts of reactions through auxiliary tables. those auxiliary tables provide the magnitudes of standard forces and bending moments for instances often encountered in genuine perform. The ebook additionally explains using coefficients within the research of two-pinned arches with unyielding helps. The textual content might be precious for mathematicians, statisticians, and medical investigators who've to house the research of numerical information.

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2. 1 Sily podluzne, Wsp6lezynnik Normal forces. Coefficient Langskrafte, Koeffizient CHJIbI. K09cPcPHqlieHT npO~OJIbHbIe _. 1 0,70701 0,48291 0,24506 0,00000 +0,20 0,89329 0,69304 0,47348 0,24031 0,67796 0,46330 0,23518 0,00000 +0,30 0,66195 0,98046 I 0,45247 0,22972 0,00000 +0,35 0,22396 0,00000 +0,40 0,21806 0,61464 0,64471 0,00000 +0,45 0,00000 +0,50 +0,15 1,65700 -0,45 0,82595 1,02442 1,20466 1,36200 1,49242 1,59300 1,66084 1,69434 1,69233 1,65468 1,58153 1,47403 0,79948 0,44106 1,00352 1,18902 1,35125 1,48609 1,59060 1,66182 1,69811 1,69832 1,66227 1,59014 1,17112 1,33814 1,47736 1,58577 1,66038 1,69951 1,70199 1,66766 1,32193 1,46537 1,57757 1,65550 1,69748 1,70230 1,30267 1,06930 1,45015 1,56602 1,64722 1,69203 1,43158 1,24302 1,26706 1,55097 1,63533 1,5~229 -0,40 0,00000 0,61464 0,21806 0,22396 -0,35 0,00000 0,22972 0,45247 -0,30 0,00000 0,23518 0,46330 0,98046 0,66195 0,67796 -0,25 0,00000 0,24031 0,47348 0,69304 1,15031 0,87355 0,89329 -0,20 0,00000 0,24506 0,48291 0,70701 0,91161 1,09172 0,24936 0,49146 0,71970 0,92829 1,11223 +0,20 I +0,25 I +0,30 I +0,35 0,95801 0,73990 1,33379 1,16372 0,96671 1,48307 1,34272 1,17203 1,59668 1,49022 1,34996 1,17889 1,66981 1,60015 1,49455 1,35467 1,18355 1,69924 1,66869 1,60054 1,49601 1,35680 1,68294 1,69258 1,66408 1,59761 1,49440 1,61969 1,67005 1,68214 1,65580 1,59118 1,60024 1,50468 1,65328 1,66783 1,64372 l,64960 1'6877211'6835911'6444511'5704511'4627211'32283 0,25317 0,49903 0,73096 0'9431311'13046 1,28860 0,25644 0,50555 0,74067 0,95596 1,14634 1,30742 1,43604 1,52903 0,25914 0,51093 0,74872 0,96666 1,15966 1,32333 1,45450 1,55000 1,63260 1,58465 1,60808 +0,05 0,26124 0,51513 0,75505 0,97514 1,17031 1,33619 1,46960 1,56739 1,62780 1,62750 1,62750 1,64960 +0,10 0,26273 0,51815 0,75963 0,98135 1,17824 1,34594 1,48129 11,58113 1,64372 1,66783 1,65328 +0,15 0,26362 0,51996 0,76245 0,98530 1,18349 1,35258 1,48953 1,59118 1,65580 1,68214 1,67005 1,50468 1,60024 1,61969 0,26392 0,52062 0,76357 0,98703 1,18600 1,35616 1,49440 1,59761 1,66408 1,69258 1,68294 1,63533 1,38976 1,53229 1,55097 0,00000 I 1,15364 1,38976 1,41439 +0,20 Br I v: I I 1,59254 1 !

1. I )r-Â°,. -r , 18 ~ Q 1 N~ n = nP '. 27565 0,28093 -0,35 0,00000 0,28597 0,56344 -0,30 0,00000 0,29065 0,57285 1,09438 0,82475 0,83865 -0,25 0,00000 0,29512 0,58160 0,85160 1,31466 1,08129 1,09825 --0,20 0,00000 0,29916 0,58962 0,86348 1,113,83 1,33462 0,30279 0,59683 0,87419 1,12790 1,35190 f,67864 1,52065 1,54094 --0,15 LANGSKRAFTE (N) I x A 1 0~~J 0 r::: I = 0,10 r. 87552 1,95880 1,99901 1,99594 1,94980 1,86196 1,73439 1,57061 1,37414 1,14989 0,90352 --j ~. , -0,25 +0,50 39 T. 2. 1 Sily podluzne, Wsp6lezynnik Normal forces.

Ooooo I -0,50 -0,45 - onopasre peaxnaa-paenop. j -0,40 I -0,35 1 -0,30 f I HB HA =kP k c=-f1 = - kP lX a =- 1 A K03cPcPHQHeHT -0,251 -0,20 I -0, 15 1 -0,10 I -0,05] 0,00 I +0,05 1 +0,10 I +0,15 I I +0,20 I +0,25 I +0,30 I I +0,35 1 0~;j j~ 1, 0 I far +0,40 +0,45 +0,50 I. 3. MOMENTY ZGINAJACE (M) BENDING MOMENTS (M) BIEGEMOMENTE (M) MOMEHTbI (M) H3rJ1BAlO~HE T. 3" 1 Momenty zginaiace. Wsp6Iczynnik Jm Bending moments. Coefficient Biegemomente. Koeffizient H3rJ16alO~J1e M~ = mPl { dowolna C== optional I beliebig L MOMeHThI.