X-FUNX ワークシート関数リファレンス
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- たつぞう さんきち
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1 X-FUNX Level.4a
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69 xn n pt 1+ 1 sd npt Bxn3 cin + si + sa ( sd xn) 3 n t1 + n pt xn sd ( t1+ n pt) Bt t t cin + xn si sa ( sd xn) n czc n cin xn czt cin ( D xn) sa ( sd sxn) + ra rd xn sa + ra cin si + sa ( xn + sxn sd) + ra ( rd xn ) czt cin ( rd xn ) czc cin xn
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71 n sa n sa n B sa sd Xn + + B BXn3 cin + n si + n sa ( sd Xn) 3
72 b Xn α + α + 1 β b1 α S ( B b1) + n sa β S ( B b1) + n sa sd B S3 S b1 ( Xn S) cin + B S Xn cin czc Xn cin czt n D ( Xn) ca cd + n sa sd Xn ca + n sa 1 ca B S + ( b1 + b0) Hd S b1 + b 1 b1 + b0 B S + Hd S + Hd 3 b1 + b0 cd ca fi ci + ca ci 1 1 B S ( Xn cd ) + n si + n sa( sd Xn) 3 fi fzc n D fzt ( Xn) fi Xn S + B S cd ( b1 + b0) ( ) + n si + n sa sd Xn 1 b1 + 4b1 b0 + b0 Hd 36 b1 + b0 1 b1 + b0 Hd S + Hd cd 3 b1 + b0 3
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74 n ra n ra n B ra rd Xn + + B BXn3 cin + n ra ( rd Xn) 3 b Xn α + α + 1 β b1 α S ( B b1) + n ra β S ( B b1) + n ra rd B S3 S b1 ( Xn S) cin + B S Xn + + n ra rd 1 3 czc cin Xn cin czt n rd ( Xn) ( Xn)
75 ( ) ( ) ( ) ( ) cd Hd b b b b S Hd b b Hd b b b b b b S cd S B S B ci Xn rd ra n cd Xn ca ci fi ca Hd b b b b S Hd b b S S B cd Hd b b S B ca ra n ca rd ra n cd ca Xn ( ) fzc fin n rd Xn fzt fin Xn
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77 n df tf 3 H tf tw dw Ixe Ix + n df tf dw tw e j j 1 n dw tw tf df Iye Iy df tf e j 1 j 1 Zpxe Zpx n df tf ( H tf ) ( dw tw ei ) i n dw tw Zpye Zpy ( df tf ei ) 4 i b 05. g a ao b b 05. g a 15. g ao b 15. g a 0
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83 fst fto fts fto τ
84 Fc E γ
85 4 fa min Fc fa min Fc fa min Fc 9 + Fc fa fa fa min Fc Fc 10 5 fa min Fc Fc 1 Fc fa min. + fa fa Fc fa min Fc. + fa fa
86 1 fc Fc fc fc 3 Fc fc min 60 fc fc 45. Fc fc min 70 fc fc 4 Fc fc min 80 fc fc 4
87 Fc Fc fs min 5 + fs fs Fc Fc fs 09. min 5 + fs Fc 1 Fc fs min + fs Fc 3 Fc fs min + fs E G ( 1 +ν )
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89 qs 05. sca Fc Ec Fc Ec 9000 ( / ) bd L qs ( sca Fc Ec ) 085. nd Hb Hd
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91 ( ) fb lb iy C ft Λ fb lb h Af 900
92 fb lb h Af 900
93 ( ) fb lb iy C ft Λ fb lb h Af 900
94 λ λ ν λ λ Λ Λ Λ Λ fc F fc F fc fc
95 fs fs F fs ft F 15.
96 F fs F fp1 11. fp 19. F fl 15. F F fb1 13. Λ π E 06. F
97 K A tan 45 K A cos o φ cos( φ θ) θcos( θ + δ) 1 + sin cos ( φ + δ) sin( φ α) ( θ + δ) cos( θ )
98 K P tan 45o φ + { γ γ ( )} γ ( ) po Ko H1+ ho H1 + w ho H1 + Koq
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100 Ai i i T T α α
101 α H Df
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103 k H Z
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105 T Tc Rt 1 Tc T T Tc Rt Tc Tc 16. Tc T Rt T T h ( α)
106 P K C q h q h h q h
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119 Mx Ml x Ml Mr L Qx Ml Mr L
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121 Mx wx lx Mx wx lx wx ly lx ly w
122 Mx w lx Mx w lx Qx w lx Qy w lx
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127 1 M w l + ( w w ) l + p l Q w1 l + ( w w1) l + p
128 al T o lft Ao ψ
129 α α M Q d
130 at Md ft j j d 7 8
131 ( ) ba ala a l l a l
132 M fc N xn1 xn1 1 1 n pt( xn dc xn dc ) xn BD xn1 3 + BD ( ) M fc 3 xn1 N 1 n pt xn dc xn dc xn BD xn1 3 + BD M ft N 1 xn 1 BD n xn dc + BD M N 1 ft pt( 1 dc1) + dc1 BD BD 3 1 xn1 + n pt ( ) ( xn1 + dc1 xn1 dc1+ 1)
133 xn xn1 r M fc n pg r N ( n pg)( xn ) ( xn ) r xn1 4 1 π r r π + M fc r N n pg 3 + r ( 1 ) θ cos θ sinθcosθ cos θ + π + cos θ cos 6 r + cosθ θ r M ft r N n pg 3 θ + cos θ sinθcosθ + cos θ + π + cos θ r r r r n + + cosθ cosθ r M π r 1 N ft pg 3 + r r π r
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135 { 08. σ 01. } N max N Mu at y D + b D Fc N max 04. b D Fc Mu at y N D + N D 08. σ b D Fc Mu 08. at σy D N D ag at
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137 { 05. σ ( 1 1)( 36. 1) } N max N Mu ag y g D + + g g b D Fc N max Nb Mu ag y N g D + N D 05. σ b D Fc Mu 05. ag σy g1 D N g1 D
138 QAL b j α fs { 05 ( 000) } QAS b j fs+. wft pw. { ( 000) } Qc b j. fs +. wft pw. { 05 ( 0001) } QAS b j fs+. wft pw.
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140 03. ( Fc + ) ( Q d) pt 180 B Qsu M 03. ( Fc + ) ( Q d) pt 180 B Qsu M Qsu BQsu σo b j σo 04. Fc Qsu σo 50 Qsu ( ) B + 7. pw σwy b j + 7. pw σwy b j pt 03. ( k Fc + 180) Qsu + 7. pw σwy b j M ( Q d) Fc k Fc k Fc + 140
141 γ γ ac at 10.
142 M Cbd npt fc dc dc C1 ( 1 xn1)( 3 xn1) γ xn1 3 xn1 3xn1 d d pt ft dc dc C ( 1 xn1)( 3 xn1) γ xn1 3 xn1 31 ( xn1) d d
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144 Mu 09. at σy d sat sσy sd
145 ptb ft nfc ft fc dc d n dc d γ γ
146 { α 0 5 ( 0 00) } QA b j fs+. wft pw. { α 05 ( 0001) } QAS b j fs+. wft pw.
147 03. ( Fc + ) ( Q d) pt 180 Qsu M 03. ( Fc + ) ( Q d) pw σwy b j pt 180 Qsu + 7. pw σwy b j M 03. ( k Fc + ) ( Q d) pt 180 Qsu + 7. pw σwy b j M Fc k Fc k Fc + 140
148 ( ) ( ) Qsuo ku kp Fc M Q d He D ps s y b j σ
149 x aw pw b
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151 ( LD) + 1 ( LD) ( ) Qsu b jt pw σwy + k11 k b D ν Fc pw σwy ν Fc k1 pw σwy k ν Fc Fc ν QB u jt τb Σφ + k1 ( 1 k3) b D ν Fc b k τ Σφ 3 b ν Fc 4. 9 aw h τb k bi x N db bi min bvibcibsi ( ) 3 ( min 1) ( ) ( ) 1 bvi C db + bci { Cs + Cb db + 1} 1 bsi b N db bi bvi h 0 bi bci h bi bsi h n N ( ) Fc
152 Ma at ft j j d 7 8
153 ( ) 1 3 M Q d ψ Q fa j j d 7 8
154 pt at b d
155 ( ) Vc lb L Mb lb L Mb lc lc + +
156 Vj T T Vc T Mb j T Mb j +
157 Vju B bj Dj κ σ
158 pw aw x b
159 ( ) pwe aw C b + Σ sin cos θ θ
160 pwt T wft Ao b t wp lx lx + + max, λ λ
161 λ 07. wp lx t lx + + max 10, λ Q 7 τ j d b j 8
162 τ ψ a Q j j d 7 8
163 D A be Σ Σ
164 N Mwu 09. at σy D aw σwy D N D 1 B D Fc Mwu at σt lw aw σwy lw N lw
165 Qw ps t l ft
166 03. ( Fc + ) ( Q D) pte 180 Qwsu M 03. ( Fc + ) ( Q D) pte 180 Qwsu M 7 100at j d pte 8 be d + 7. pwh σwh σo be j + 7. pwh σwh σo be j
167 ( ) r r r r lo l r ho lo hl min
168 Td ho lo l Q + ( ) Tv ho l lo Q ( ) Th lo h ho h l Q
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170 σb M ψ1 18. Ze Fc Ze φ Zo φ 1+ n( γ) Pt b D Zo 6 b D ψ l b D ψ l
171 ( ) K E nt Ab dt dc lb BS +
172 Nu N Nu Tu Nu Mu N dt 1 N Nu Tu N Tu ( N + Tu) D N + Tu Mu Tu dt + 1 Nu Tu N Tu Mu N + Tu dt ( )
173 ( ) ( ) ( ) max + + Tu T Su Qsu Qfu Tu N Tu Tu T N Tu Nu T Tu T Su Qsu Tu Nu Qfu Tu N Qfu Tu N Tu Nu Su Qsu N Qfu Tu Nu N Nu Qsu Qfu Qu
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175 D e 6 N e c 1 6 σ + σt 0 B D D D D dt e N σc B D σt 0 3 e D dt + e 6 3 D N e+ dt σc xn B xn D dt 3 N 0 σc 0 M σt at D ( dt) D N e dt 1 σt at D dt xn N ag
176 θ δ 3 cos l A E P K B
177 Aj σu A1 bσu A1 Ag A1 Ag Ad A1 Ag Ad hn t b05. g a ao b b05. g a 15. g ao b15. g a 0
178 Aj σu 075. A fσu A n m 075. π ( d )
179 Aj σu A3 σu A3 n e t Aj σu A4 σu A4 l gt Ad 3 1 b05. g a ao b b05. g a 15. g ao b15. g a 0
180 1 Aj σu A5 σu 3 A5 Σ 07. S le Aj σu A5 σu
181
182 ( ) ( ) 1 tan tan K K K K GB GA K GB GA π π π π π ( ) ( ) ( ) K K GB GA K GB GA π π π tan
183 σc cσb tσb σc fc fb ft σt + tσb cσb σt 1 1 ft fb
184 C Nd A fc Mx Zx fbx My Zy fby T Mx Zx fbx My Zy fby Nd A fc ft C Mx Zx fbx My Zy fby N A ft T N A ft Mx Zx fbx My Zy fby ft + + +
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186 N Aw Mpc Mp Ny A N Aw N Mpc Mp Ny A Ny N Aw Mpc Mp Ny A N Aw N Nwy Mpc 1 Mp Ny A Ny Nwy N 0. Mpc Mp Ny N N 0. Mpc Mp Ny Ny
187 Ncr 0 λ Ny Ncr 30 λ ( λ 30) Ny NE λ 10 Ncr 13. Ncr 0λ5 10. Ny Ncr 5λ ( λ 5) Ny NE λ 100 Ncr 13.
188 ( ) λ σ π λ λ λ λ λ E y NE Ncr Ny Ncr Ny Ncr
189 σ τ τ ft fs
190 Qd Qa ft fs + max σ τ τ 3 τ max. Qx Asx Qy Asy 15 τ max Qx Asx Qy Asy τ + Qx Qy A
191 { } y s sa Fc ca Qh σ min
192 Mu fmu WMu +
193 fmu Tf B ( H Tf ) σu σu fmu 14. Sf ( B Sf ) ( H Tf ) 3 σu fmu 07. Sf ( B Sf ) ( H + Sf ) 3 1 wmu Tw { H ( Tf + C) } σu 4 1 u wmu Sw { H ( Tf + C + Sw) } 4 14 σ. 3 1 u wmu Sw { H ( Tf + C + Sw) } 4 07 σ. 3 ( ) Ma min Zc fb Zt ft
194 Md Ma Mdx Zx fbx Mdy Zy fby +
195 lb h Mcr Af Mp lb h Mcr lb h Af Mp Af lb h Af 1000 Mcr Mp 500 lb h Af
196 lb h Af Mcr Mp lb h Af Mcr Mp lb h Af lb h Af Mcr Mp lb h Af.. y Kv Af h lb Kv Mp Mcr Kv Af lbh Kv Af h lb Kv Mp Mcr Kv Af h lb Kv Mp Mcr Kv Af h lb σ
197 Qa Aw fs Qd Qa Qdx Aw fs Qdy Af fs max. 15
198
199 Mu Zpe σu b 05. g a ao b b 05. g a 15. g ao b 15. g a 0 {( ) ( ) ( ) ( )} Mu B1 d T1 H + T1 + B d T H Tf T σu
200 b 05. g a ao b 05. g b a 15. g ao b 15. g a 0 ( ) Mu n 075. fa σu H Tf Mu n 075. fa σu H
201 Mu min( bmu pmu) bmu n e Tf σu ( H Tf ) pmu n e T1 σu H + T1 + n e T σu H Tf T ( ) ( ) u Qu Awe σ 3
202 σu Qu ( B3 d) T3 3 Qu n 075. fa σu
203 u t e nw Qu σ 3
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205 Ve hb hc tw Ve hb hc tw Ve A
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207 ( btf) ( d tw) + 1 d twkc F ( kf F ) ( kw F )
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209 ( ) ( ) ( ) B l K B h K Dy B h Qu M K K K K K K K B cu Qu max My M B cu My B cu Qu B h B cu Qu + + max B l B cu Mo B l B cu Qu My Mo B cu My B l B cu Qu B h B cu Qu My M Mo B cu My B cu Qu B cu Qu + max l h l h Qu M l h B l Kp Qu max 1 γ My M B Kp My B Kp Qu B h B Kp Qu + max γ γ γ 3 3 B l Kp Mo B l Kp Qu γ γ My Mo B Kp My B l B l B Kp Qu γ γ
210 My M Mo B Kp My B Kp Qu max γ γ
211 4 d y EI + kh By 0 4 dx Qo βx yx e {( αr) cos βx + αr sin βx} 3 4EIβ Qo βx θx e {( 1 αr) cos βx + sin βx} EIβ Qo βx Mx e { αr cos βx + ( αr) sin βx} β βx Qx Qo e { cos βx ( 1 αr) sin βx}
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213 4 d y EI + kh By 0 4 dx Qo βx βx yx [ e ( C1 cos βx + C sin βx) + e ( C3 cos βx + C4sin βx) ] 3 4EIβ Qo βx βx θx [ e {( C1 + C) cos βx + ( C C1) sin βx} e {( C3 C4) cos βx + ( C3 + C4) sin βx} ] 4EIβ Qo βx βx Mx [ e ( Ccos βx C1sin βx) e ( C4cos βx C3sin βx) ] β Qo βx βx Qx [ e {( C C1) cos βx ( C1 + C) sin βx} + e {( C3 + C4) cos βx ( C3 C4) sin βx} ]
214
215 ( ) Xn a l a l a l a N M α
216 l a l Xn a l N Q α
217 ( ) ( ) d D bo d a a bo fs j bo Q PA π π α
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221 4 4 I khe B β x B kh nh I E nh 5 η
222 B Eo kh
223 l Ep Ap a Kv ( ) ( ) ( ) D l a D l a D l a
224
225 fc y Ie M e Ae N fb + + σ ( ) 1 max g d g σ σ σ τ +
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227 Wp Lq qu Ls Ns Ap N Ra Wp Lq qu Ls Ns Ap N Ra ψ γ β α ψ γ β α
228 qu Ns Lq qu Ls Ns Ap N Ra ψ qu Ns Lq qu Ls Ns Ap N Ra ψ
229 ( ) qu Ns D l D l D D l Lq qu Ls Ns Ap N Ra α α ψ α { } ( ) D l D l D D l L Ap N Ra α α ψ α
230 ( ) Rf Rp Ra ( ) ( ) ( ) min min 30 min.1 Nh fh Nh fh Nc fc Nc Nc fc Ns fs Lh fh Lc fc Ls fs Rf Np Rp ( ) ( ) ( ) min min min Nc fc Nc Nc fc Ns fs Lc fc Ls fs Rf Np Rp
231 D β D L β
232 Ms Ts Mc Cc M N ( ) ( ) ( ) λ σ λ σ rs ro As rs Ms Mc rs ro rs ro As Ts Cc
233 ( ) o ro rs As rs Ms Z o ro rs n ro Mc o ro rs o As Ts Y o ro rs n ro Cc α σ α σ α α σ α σ cos cos cos cos cos 3 ( ) o ro n As rs Ms Z o ro Mc o o n As Ts Y o ro Cc α σ α σ α α σ α σ cos 1 cos 1 cos 1 cos cos 1 3
234 ( ) + + σ η σ π η σ η σ π η n As rs ro Ms ro ri ro Mc n As Ts ri ro Cc κ κ fs As Qa
235
236
237 ( ) ( ) { } µ ν ν ν + E B q F F E B q SE 1 1 1
238 Nf z N Na + σ 10
239 ( ) Nq Df Nr B Nc c qa Nq Df Nr B Nc c qa γ γ β α γ γ β α
240 q A S E µ H E S E ( H ν ) µ ( H, ν ) µ ( H, ν ) µ ( H, ν ) µ ( H ν ) µ H 1, 1 H H 1 H n n H n 1, + + L+ E1 E En n q A
241 rd z z g rn z d σ σ α σ τ max
242 5 3 3 R z P z π σ
243 ( )( ) ( )( ) sin n m m n n m n m n m m n q z π σ
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2001 Mg-Zn-Y LPSO(Long Period Stacking Order) Mg,,,. LPSO ( ), Mg, Zn,Y. Mg Zn, Y fcc( ) L1 2. LPSO Mg,., Mg L1 2, Zn,Y,, Y.,, Zn, Y Mg. Zn,Y., 926, 1
Mg-LPSO 2566 2016 3 2001 Mg-Zn-Y LPSO(Long Period Stacking Order) Mg,,,. LPSO ( ), Mg, Zn,Y. Mg Zn, Y fcc( ) L1 2. LPSO Mg,., Mg L1 2, Zn,Y,, Y.,, Zn, Y Mg. Zn,Y., 926, 1 1,.,,., 1 C 8, 2 A 9.., Zn,Y,.
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Contents 6-1 6-2 780 630 440 385 355 325 295 205 80 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 1-13 1-14 1-15 1-16 1-17 1-18 1-19 1-20 1-21 1-22 1-23 1-24 1-25 1-26 1-27 1-28 1-29 1-30 MEMO G
More information6-1 6-2 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 1-13 1-14 1-15 1-16 1-17 1-18 1-19 1-20 1-21 1-22 1-23 1-24 1-25 1-26 1-27 1-28 1-29 1-30 2-1 2-2 2-3 2-4 2-5 2-6 2-7 2-8 2-9 2-10 2-11 2-12
More information1 1 H Li Be Na M g B A l C S i N P O S F He N Cl A e K Ca S c T i V C Mn Fe Co Ni Cu Zn Ga Ge As Se B K Rb S Y Z Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb T e
No. 1 1 1 H Li Be Na M g B A l C S i N P O S F He N Cl A e K Ca S c T i V C Mn Fe Co Ni Cu Zn Ga Ge As Se B K Rb S Y Z Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb T e I X e Cs Ba F Ra Hf Ta W Re Os I Rf Db Sg Bh
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P381 P386 P396 P397 P401 P423 P430 P433 P435 P437 P448 P451 P452 381 382 383 384 385 3.0mm 5.0mm 3.0mm 5.0mm SK SK3.0mm SK5.0mm 3.0mm PUR PUR3.0mm 2.0mm 2.0mm3.0mm 2.5mm 2.5mm3.0mm 3.0mm 5.0mm 3.0mm 1.8mm
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33 2 2.1 2.1.1 x 1 T x T 0 F = ma T ψ) 1 x ψ(x) 2.1.2 1 1 h2 d 2 ψ(x) + V (x)ψ(x) = Eψ(x) (2.1) 2m dx 2 1 34 2 2 h = h/2π 3 V (x) E 4 2 1 ψ = sin kxk = 2π/λ λ = h/p p = h/λ = kh/2π = k h 5 2 ψ = e ax2
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