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Aviation History
1920
1920 - 0163.PDF
FBBRUARY 5, 1920 Pollard, Wh.Ex., A.F.R.Ae.S., for the preparation of the stress diagrams. APPENDIX An aeroplane of weight 7,500 lbs. strikes the ground with a vertical velocity of 12 ft. for a second. To find how the energy is absorbed by the wheels, elastic and oleo gear. With the notation in the text. Original Te = 1,400 lbs. W = 7,300 lbs. w = 200 lbs. 1,400 = i,44°- Half energy of aeroplane = 1'00,600-in. lbs. = 699 V! "699 " = I43-I4= 11•96 Table 1. i dz is chosen arbitrarily. P is the average value in the interval dz. From a first calculation the average value x in the interval dz is determined and the value of Te for this mean x is taken. The initial value of u2* and VSJ is 143 • 14. To determine <p an average value of V/M is taken. Stage 1. w>fV. 0-9 1 -4 i-6 1 -8 2-O 2-2 2-4 2-6 2-8 3'O 32 3-43-6 3-8 c •8 0-5 O-2 O-2 O-2 O-2 O-2 O-2 0-2 O-2 O-2 O-2 O-2 O-2 O-2 v in . 1 § •01 •03 •06 •08 M •20 •27 •34 •41 •50 •59 •68 •79 95 1,980 2,800 3,300 3,800 4,320 4,830 5,34° 5,850 6,370 6,860 7,380 7,890 8,400 8,900 XJ H 1,430 1,460 1,520 1,560 1,670 1,800 1,94° 2,080 2,200 2,340 2,420 2,570 2,680 2,810 "5" ! ro 40 250 7OO 1,170 1,830 2,470 2,980 3,43O 3,57O 4,28o 4.43° 4.90O 4,900 4,900 •8 ^_ l H 1 9i 255 218 216 214 164 112 84 68 116 48 106 72 164 238 00 s' 1 M_ 13-66 11-69 11-58 11-48 8-8o 6-oo 4-5O 3 -64 6-22 2-57 5-68 3-85 8-84 12-75 s 143-14 129-48 117-79 106-21 94-73 85-93 79-93 75-43 71-79 65-57 63-00 57-32 53-4744-63 31-88 OH II-38 IO-85 10-31 9-73 9-27 8-94 8-68 8-47 8-10 7-94 7-57 7-31 6-68 5-65 >I8 1-047 1 -096 1-150 1-215 1 -270 1-309 1 '34° 1 -360 1 -410 1-424 1-474 1 -506 1 • 625 1-888 13 >I8 750 37°500 650 870 1,111 I,3O5 1,500 1,620 1,890 2,020 2,29O 2,46b 2,73O f| 1 , >"•&• I'll 0-54 0-74 o-95 1 -29 l-63 I -92 2-20 2-37 2-78 2-96 3-363-62 4-01 > M3-I4 142-03 141-49 140-75 139-80 138-51 136-88 I34-96 132-76 130-39 127-60 124-64 121 -28 117-64 "3-63 11-92 11-89 n-86 11-82 n-77 11-70 11-62 11-52 11-42 11-30 11 -16 11 -oi 10-85 10-66 a" 1 o-54 1 -04 1 -55 2 -09 2-50 2 -76 2-94 3-05 3-32 3-36 3-59 3 '7° 4-17 5-01 a" 1 >" a" •047 •096 •150 •215 •270 •300 •340 •360 •410 •424 •474 •506 •625 •8 88 •024 •oig •030 •043 •054 •061 •068 •072 •082 •085 •095 •101 •125 •178 Table 2. >£ dz is chosen arbitrarily and a value for a mean M/'V —Mover the period was'guessed. Mean values J3f P and T,~were taken throughout. The method was very tedious, especially in the later stages, when as many as five approximations'were made on occasions to establish a satisfactory mean. Stage 2. * 1 -04 1 24 144 I 64 I-84 2 -04 2 -24 2-6o 3-6O 4-6o5-6o S-8o 6-oo 6-2O 6-30 6-40 6-50 6-6o 6-70 6-8o 6-90 7-00 7-10 7-20 7*30 7-40 7-50 -8 O-2 O-2 O -2 O-2 O-2 O-2 O -36 I -O 1 -o 1 -o O-2 O-2 0-2 O-I O-I O-I O-I O-I O-I O-I O-I O-I O-I O-I O-I o-i- O'l 8 8 1 •688 •432 •248 •147 •032 — © x> "5b u a•065 •150 •580 •760 •910 •840 •755•655 •562 •490 •422 •374 •309 • 229 163 •115 1 V) Pl b 9,3°° 9,640 9,850 9.94° 10,040 10,050 10,050 10,050 10,050 10,050 10,060 10,060 10,100 10,200 10,500 10,700 10,900 11,200 11,320 11,480 11,600 11,700 11,780 11,840 11,880 11,900 — VI H 2,980 3,060 3.14° 3,200 3,24O 3,3O0 3,4OO 3,660 4,200 5,o6o5,780 6,050 6,380 6,700 6,900 7., OOO 7,200 7,400 7,600 7,82O 8.040 8,300 8,540 8,800 9,080 9.360 9,640 first -H1 con s 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,900 4,400 3,4io 3,39o 3,39o3,46o 3,5oo 3,39o 3,32o 3.130 2,980 2,860 2,640 2,320 2,190 8 1 256 160 103 45 28 6 a> 23 Oil •Q — 8-i —17-8 —73-2 —61 „ + 17 26 31 22 12 13 10 10 8 4 2'6 2-5 — 3*00 1 " . n ''* I3-7O 8-58 5-52 2-44 1-53 0-32 £ jo "Si 41 c—0-43 —0-95 —3-93 -3-26 + O-93 1 -40 1 -66 1 -19 o-66 0-71 o-54 o-54 0 -42 032 0-14 0-13 :— it a" 31-88 18-18 9-60 4-08 1-64 O-II — "cr C o-43 1-38 5-31 8-57 7-64 6-24 4-58 3-39 2-73 2-02 1-48 0-94 0-52 030 0-16 0-03 — 8* 4-24 3-10 2 * O2 1-28 o-33 — £ "BO o-66 1-17 2-30 2-93 2-76 2-50 2-14 1 -84 1-65 1-42 I -22 0-97 0-72 °-55 0-40 0-17 — 1-688 1-432 1-248 1-147 1-032 I -OOO 1 -ooo I -OOO 1 -ooo 1 -ooo 1 -066 1-150 1-580 1 -760 1 -910 1-840 1-755 1-655 1-562 1-490 1 -422 1-374 1 -3^>9 1 -229 1-163 1-115 I -OOO i «. b 8 > 1 2,97° 2,350 2,o8o I,82O 1,75° 1,670 2,990 8,560 9,100 9,960 2,240 2,520 2,940 i,95° 1,970 1,910 1,860 1,800 i,735 1,670 1,610 1.570 1.505 1.435 1.365 1.3°° 1,180 fi>^- 4-37 3 46 3 06 2-68 2-57 2-45 4-4° 12-59 I3-38 14-66 3-29 3-7° 4-3I 2-77 2-90 2-81 2-73 2-64 2-55 2-46 2-37 2-31 2-21 2-II 2-OO 1-91 1-74 r> 113-63 109-25 105-79 102-73 100-05 97-48 95-03 90-63 78-04 64-66 50-00 46-71 43 "OI 38-70 35-93 33-O3 30-22 27-49 24-85 22-30 19-84 17-47 15-16 12-95 10-84 8-84 6-93 5-19 10-45 10-28 10-13 IO-OO 9-87 9-75 9-52 8-83 8-04 707 6-83 6-56 6-22 5-99 5-755-So 5-244-99 4-72 4-45 4-18 3-89 3-6o 329 2-97 2-63 2-28 1 1 6-21 7-i8 8-n 8-72 9-54 9-75 9-52 8-83 8-o4 7-°76-17 5-39 3.92 3-5° 2-99 3-06 3 -°63-15 3-O7 3-°32 -96 2-92 2-88 2-74 2-57 2-46 2-28 8 •180 •086 '050 •029 •006 — JS bo a •010 •040 -060 •080 •090 •084 •084 •066 •056 •049 • -042 •O37 •031 •023 •016 •OI2 — 4-l8 4 27 4-32 \ 4-35 4-35 4-35 4-354-35 4-35 4-35 4-36 4-40 4-46 4-54 4-634-71 4-80 4-86 4-92 4-97 5-01 5-05 5-08 5-10 S-12 5-13 — 163
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