Sample

72bba6d2-e8f4-4262-91d7-b26e1a3ca41a 38 4 5 auto

&[DATE] &[TIME] - &[FILENAME]

W 978.8 kip * :

W W kip / : 978.8

g 32.2 ft sec 2^/ * : in sec 2^/ 19325 /

g g sec 2^in / * : 386.4

m W g / : 2.5331

k 100 kip in / * :

k k in kip / * : 100

ζ 10 % * : 110 /

ω.n k m / sqrt : 6.2831

T.n 2 π * ω.n / : 1

c 2 ζ * ω.n * m * : 3.1832

t.start 0 sec * :

t.start t.start sec / : 0

t.end 5 sec * :

t.end t.end sec / : 5

Δt 0.1 sec * :

Δt Δt sec / : 110 /

Given / Assumed Initial Conditions

p 0 sec * 0 kip * 0.1 sec * 50 kip * 0.2 sec * 86.6 kip * 0.3 sec * 100 kip * 0.4 sec * 86.6 kip * 0.5 sec * 50 kip * 0.6 sec * 0 kip * 72 mat :

i 1 p rows range p i 1 el p i 1 el sec / : p i 2 el p i 2 el kip / : 21 line for

p 00 0.1 50 0.2 86.6 0.3 100 0.4 86.6 0.5 50 0.6 072 mat

Given / Assumed Initial Conditions

u.0 0 in * :

v.0 0 in sec / * :

a.0 0 in sec 2^/ * :

u.0 u.0 in / : 0

v.0 v.0 sec in / * : 0

a.0 a.0 sec 2^in / * :

Values for special condition (acceleration / )

γ 12 / :

β 14 / :

1. Initial Calculations [Table 5.4.2]

a.1 1 β Δt 2^* / m * γ β Δt * / c * + : 1076.9137

a.2 1 β Δt * / m * γ β / 1 - (c * + : 104.5082

a.3 12 β * / 1 - (m * Δt γ 2 β * / 1 - (* c * + : 2.5331

k.c k a.1 + : 1176.9137

2. ITERATIVE CALCULATIONS [Table 5.4.2]

R t.end t.start - Δt / 1 + 10 matrix :

i 0 R rows 1 - (range t i Δt * : pi p i 1 + (2 el : pi 0 : try pj p i 2 + (2 el : pj 0 : try i 0 ≡ ui u.0 : vi v.0 : ai a.0 : 31 line ui R i (8 el : vi R i (9 el : ai R i (10 el : 31 line if pcj pj a.1 ui * + a.2 vi * + a.3 ai * + : uj pcj k.c / : vj γ β Δt * / uj ui - (* 1 γ β / - (vi * + Δt 1 γ 2 β * / - (* ai * + : aj 1 β Δt 2^* / uj ui - (* 1 β Δt * / vi * - 12 β * / 1 - (ai * - : E i t pi ui vi ai pcj uj vj aj 110 mat : j 1 E cols range R i 1 + (j el E 1 j el : for 101 line for

R.t i t(i) p(i) u(i) v(i) a(i) pc(i+1) u(i+1 v(i+1) a(i+1) 110 mat :

R 00000050 0.0425 0.8497 16.9936 1 0.1 50 0.0425 0.8497 16.9936 264.1971 0.2245 2.7903 21.8188 2 0.2 86.6 0.2245 2.7903 21.8188 688.6277 0.5851 4.4223 10.8213 3 0.3 100 0.5851 4.4223 10.8213 1206.2953 1.025 4.3747 11.7728 - 4 0.4 86.6 1.025 4.3747 11.7728 - 1581.1722 1.3435 1.9958 35.8063 - 5 0.5 50 1.3435 1.9958 35.8063 - 1564.6963 1.3295 2.2758 - 49.6244 - 6 0.6 0 1.3295 2.2758 - 49.6244 - 1068.2064 0.9076 6.1614 - 28.0881 - 7 0.7 0 0.9076 6.1614 - 28.0881 - 262.3767 0.2229 7.5326 - 0.6647 8 0.8 0 0.2229 7.5326 - 0.6647 545.4475 - 0.4635 - 6.1953 - 26.0809 9 0.9 0 0.4635 - 6.1953 - 26.0809 1080.4935 - 0.9181 - 2.8971 - 39.8832 1010 0.9181 - 2.8971 - 39.8832 1190.4252 - 1.0115 - 1.0289 38.6371 1110 mat

xt R 2 col :

yu R 4 col :

yv R 5 col :

ya R 6 col :

xt yu augment 0 2 1 sys xt yv augment 0 2 1 sys xt ya augment 0 2 1 sys

G xt ya augment 1.0 * :

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