Stability Spreadsheet

WING STABILITY (LONGITUDINAL )

Wing lift coefficient (CLαw)

0.2

Wing angle of attack (αw)

0 In radian=

0

Incidence angle at zero lift (|α0|)

1 In radi radian an= =

0.01 0.0174 7453 53

Static margin Wing Moment coefficient of CG (Cmcg)

18 3.662832

Cmcg versus

α

of wing

3.9 3.85 3.8 3.75 3.7 3.65 3.6 3.55 3.5 3.45 -4

-3

-2

-1

0

1

2

3

TAIL STABILITY (LONGITUDINAL)

η

VH Clαt ε0 it αt δε/δα

A B M

Amaxt Sexpose Sred

1 1.504518 2.209824 0 1 -1 In radi radian an= = 0.35

5 0.6864 0.56 8.7 0.018 0.025

F

1.29

lt

0.71

-0.0 -0.017 1745 45

4

St S c b Tail Moment coefficient of CG (Cmcg)

0.025 0.05618 0.21 0.53 3.362438

CALCULATOR:

Angle of attack of Wing Angle of attack of Tail Moment balance

0 -1 0.300394

Wing angle of attack (αw) 3 2 1 0 -1 -2 -3

Tail angle of attack (α t) 3 2 1 0 -1 -2 -3

Tail Moment coeffi 3.45 3.4 3.35

3.3 3.25 3.2 -4

-2

0

2

Wing Moment coefficient of CG (Cmcg) 3.851327412 3.788495559 3.725663706 3.662831853 3.6 3.537168147 3.474336294

Tail Moment coefficient of CG (Cmcg) 3.211566931 3.249284685 3.287002439 3.324720194 3.362437948 3.400155702 3.437873456

cient of CG (Cmcg)

Tail Moment coefficient of CG (Cmcg)

4

Re Moment due to wing Area Quarter chord distance to nose Flight speed Angle of attack Cl Force moment static margin Moment due to CG Distance from nose Total weight Force Moment

89165.73 0.1125 0.4 10 0 0.2623 1.807411 0.722964 18% 0.328 1.884109 1.884109 0.617988

Moment due to tail

Area Quarter chord distance to nose flight speed angle of attack Cl

0.025 0.92 10 -2 -0.3737

Force Moment

-0.57223 -0.08595

Balance of moments

0.019026 -0.16265

Balance of forces

AoA 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4 4.25 4.5 4.75 5 5.25 5.5 5.75 6 6.25 6.5 6.75 7 7.25 7.5 7.75 8 8.25 8.5 8.75 9 9.25 9.5 9.75 10 10.25 10.5 10.75 11 11.25

Cl 0.2623 0.3002 0.337 0.3725 0.4063 0.4371 0.4637 0.4896 0.515 0.5396 0.5637 0.5877 0.6117 0.6359 0.6601 0.6843 0.7087 0.7331 0.7575 0.7821 0.8043 0.8272 0.8503 0.8718 0.8941 0.914 0.9336 0.9522 0.9695 0.9849 0.9979 1.0091 1.0201 1.0338 1.0496 1.0677 1.0874 1.1079 1.1314 1.1526 1.1784 1.1961 1.214 1.2391 1.2486 1.2553

0.01684 -0.00991 0.0654 0.9003 1 0.01665 0.00966 -0.0672 0.8869 1 0.01643 0.00939 -0.0685 0.8737 1 0.01619 0.0091 -0.0695 0.8606 1 0.01593 0.00881 -0.0699 0.8473 1 0.01571 0.00854 -0.0698 0.8332 1 0.0156 0.00838 -0.0689 0.8173 1 0.01553 0.00825 -0.0679 0.8011 1 0.01549 0.00816 -0.0668 0.7847 1 0.0155 0.00812 -0.0656 0.7678 1 0.01556 0.00813 -0.0643 0.7505 1 0.01565 0.00817 -0.0631 0.7331 1 0.01576 0.00823 -0.0618 0.7155 1 0.01588 0.00832 -0.0607 0.6979 1 0.01603 0.00843 -0.0595 0.6804 1 0.0162 0.00856 -0.0584 0.6628 1 0.01639 0.00871 -0.0573 0.6452 1 0.01659 0.00889 -0.0562 0.6275 1 0.0168 0.00906 -0.0551 0.6095 1 0.01697 0.00915 -0.054 0.5902 1 0.01717 0.00935 -0.0525 0.5674 1 0.01736 0.00947 -0.0511 0.5447 1 0.0176 0.00963 -0.0498 0.5229 1 0.01787 0.00992 -0.0484 0.499 1 0.01813 0.01008 -0.047 0.4753 1 0.0184 0.01038 -0.0453 0.4478 1 0.01869 0.01064 -0.0436 0.4192 1 0.01903 0.01094 -0.0418 0.3879 1 0.01946 0.01129 -0.0398 0.3531 1 0.02006 0.01171 -0.0376 0.3145 1 0.02093 0.01235 -0.0352 0.2703 1 0.02212 0.01328 -0.0327 0.2267 1 0.02352 0.01435 -0.0302 0.1933 1 0.02486 0.01554 -0.0281 0.1685 1 0.02622 0.01676 -0.0264 0.1519 1 0.0276 0.01807 -0.025 0.1395 1 0.02904 0.01944 -0.024 0.1298 1 0.03035 0.02072 -0.023 0.1217 1 0.03206 0.02248 -0.0225 0.1157 1 0.03349 0.024 -0.0216 0.11 1 0.03556 0.02597 -0.0217 0.1048 1 0.03723 0.02797 -0.0203 0.1011 1 0.03894 0.02985 -0.0192 0.0972 1 0.04137 0.03216 -0.0194 0.093 1 0.04359 0.03478 -0.0172 0.0908 1 0.04577 0.03737 -0.0148 0.0882 1

11.5 11.75 12 12.25 12.5 12.75 13 13.25 13.5 13.75 14 14.25 14.5

1.2639 1.2761 1.2907 1.2781 1.261 1.2411 1.2187 1.1933 1.165 1.1339 1.1009 1.0677 1.0377

0.04793 0.05012 0.05426 0.05664 0.05934 0.06248 0.06618 0.07055 0.07573 0.0819 0.08918 0.09758 0.10673

0.03977 0.04207 0.04622 0.04906 0.05213 0.05559 0.05959 0.06423 0.06968 0.07607 0.08355 0.09211 0.10136

-0.0128 -0.0115 -0.0112 -0.0072 -0.0031 0.0004 0.0029 0.0044 0.0045 0.0032 0.0004 -0.0035 -0.008

0.0854 0.0828 0.0802 0.0793 0.0786 0.078 0.0776 0.0775 0.0777 0.0781 0.0787 0.0794 0.08

1 1 1 1 1 1 1 1 1 1 1 1 1

49.06 65.36 14.8 3.24 2.95 56.65 192.06

Angle of attack -13 -12.75 -12.5 -12.25 -12 -11.75 -11.5 -11.25 -11 -10.75 -10.5 -10.25 -10 -9.75 -9.5 -9.25 -9 -8.75 -8.5 -8.25 -8 -7.75 -7.5 -7.25 -7 -6.75 -6.5 -6.25 -6 -5.75 -5.5 -5.25 -5 -4.75 -4.5 -4.25 -4 -3.75 -3.5 -3.25 -3 -2.75 -2.5 -2.25 -2 -1.75

Cl -0.476 -0.5002 -0.5184 -0.7724 -0.7713 -0.7896 -0.8377 -0.9695 -0.9842 -0.9915 -0.9911 -0.9765 -0.9659 -0.9597 -0.9523 -0.943 -0.9245 -0.9056 -0.8883 -0.8673 -0.8471 -0.8256 -0.805 -0.7836 -0.7631 -0.743 -0.7235 -0.7047 -0.6862 -0.6682 -0.6504 -0.6324 -0.6141 -0.5953 -0.5761 -0.5565 -0.5366 -0.5162 -0.4957 -0.4751 -0.4545 -0.434 -0.4137 -0.3935 -0.3737 -0.3539

0.13924 0.13756 0.13358 0.10051 0.09532 0.08685 0.07511 0.06291 0.05891 0.05467 0.0506 0.04806 0.04582 0.04303 0.04019 0.03777 0.03526 0.03367 0.03189 0.02998 0.02869 0.02707 0.02598 0.02464 0.02348 0.02242 0.02143 0.0205 0.01958 0.01875 0.01798 0.01733 0.01674 0.01627 0.01585 0.0155 0.0152 0.01493 0.01471 0.01453 0.0144 0.01432 0.01429 0.01433 0.01444 0.01463

0.13398 0.13233 0.12838 0.09513 0.08992 0.08144 0.06959 0.05654 0.0522 0.04764 0.0433 0.04077 0.03837 0.03523 0.03192 0.02894 0.02644 0.02473 0.02255 0.02066 0.01923 0.01754 0.01635 0.01512 0.01396 0.01293 0.01204 0.01124 0.01046 0.00981 0.00927 0.0088 0.00844 0.00813 0.00789 0.0077 0.00752 0.00743 0.00736 0.00732 0.00731 0.00735 0.00742 0.00757 0.00777 0.00801

0.0025 -0.0001 -0.0027 -0.0153 -0.0162 -0.0207 -0.0287 -0.03 -0.0278 -0.0258 -0.0241 -0.0233 -0.0219 -0.0199 -0.0177 -0.0153 -0.0145 -0.0134 -0.0117 -0.0109 -0.0096 -0.0086 -0.0074 -0.0064 -0.0051 -0.0038 -0.0023 -0.0008 0.0008 0.0025 0.0042 0.006 0.0077 0.0095 0.0112 0.0129 0.0145 0.0162 0.0179 0.0196 0.0214 0.0232 0.0252 0.0272 0.0294 0.0317

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

0.1484 0.1541 0.1558 0.0866 0.0856 0.0842 0.0813 0.0753 0.0751 0.0753 0.0759 0.0778 0.0802 0.0822 0.0841 0.0861 0.0896 0.0938 0.0978 0.1029 0.1091 0.1157 0.1242 0.1333 0.1447 0.1584 0.1748 0.1953 0.2203 0.2509 0.286 0.3256 0.3656 0.4067 0.4463 0.4854 0.5246 0.5615 0.5981 0.6345 0.6707 0.7062 0.7415 0.7754 0.8089 0.8421

-1.5 -1.25 -1 -0.75 -0.5 -0.25 0

-0.332 -0.3021 -0.2578 -0.2041 -0.1345 -0.0651 0

0.01489 0.01527 0.01574 0.01619 0.01658 0.01682 0.01693

0.00831 0.0087 0.00913 0.00952 0.00986 0.01007 0.01017

0.0335 0.0338 0.0309 0.0259 0.0174 0.0086 0

1 1 1 1 1 1 1

0.8748 0.9052 0.9317 0.9557 0.9712 0.986 1