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- ひろみ うみのなか
- 5 years ago
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Transcription
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2 Contents
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22 MEMO G P S W K 1-31
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30 H H
31 H
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33 D s F es Q u Q un Q un D s F es Q ud C 0 C 0 Q u Q un Q u D s F es Q ud
34 MEMO
35 MEMO 2-25
36 A A da S x A yda,s y A xda A y 0 I x i x Z x _ y Sx _ x S y A, A I x A y 2 da, I y A x 2 da y x da A x h c b y0 y0 x bh h 2 bh 3 12 h 12 =0.289h bh 2 6 I xy A xyda I p A r 2 da, I p I x I y i x I x i y I y A, A 0 _ x r _ y y x x x0 y0 h c x0 y0 b x bh bh y 0 = b 2 h 2 1 x b 2 2 h 2 0 = b 3 h 3 6(b 2 h 2 ) bh 6(b 2 h 2 ) b 2 h 2 6 b 2 h 2 i p I p A x c d y0 y0 x 4 d 2 =0.785d 2 d 2 64 d 4 d 32 d 3 4 =0.0491d 4 =0.0982d 3 Z 1 y I Z 2 I 1, y 2 S x S x Ay 0, S y S y Ax 0 2 I x I x 2y 0 S x Ay 02, I y I y 2x 0 S y Ax 0 I xy I xy x 0 S x y 0 S y Ax 0 y I x I x Ay 0, I y I y Ax 0 I xy I xy Ax 0 y 0 S x S x cos S y sin S y S x sin S y cos I x I x cos 2 I y sin 2 I xy sin2 I y I x sin 2 I y cos 2 I xy sin2 I xy IxIy sin2 I xy cos2 2 I xy 0x, y tan2 2Ixy I y I x I x 1 (Ix I y ) 1 (Ix I y ) 2 4I xy I y 1 (Ix I y ) 1 (Ix I y ) 2 4I xy I x I x cos 2 I y sin 2 I y I x sin 2 I y cos 2 I xy IxIy sin2 2 y' y' G y' y x0 0 y0 0' y 0 y y1 y2 x x' x' x x' x x 0 y0 y0 y0 y0 y2 y1 y1 y2 d1 y0 y0 d 2a 2b h H b B r r r 90 r x 4 (d 2 d 12 ) =0.785 (d 2 d 12 ) ab (BHbh) 4 4 r 2 d 2 a H 2 y 1 =0.4244r y 2 =0.5756r (d 64 4 d 14 ) = (d 4 d 14 ) ba 3 4 d 2 d r r y 1 =0.2234r r r r y 2 =0.7766r a 2 (BH 3 bh 3 ) BH 3 bh (BHbh) 32 d 4 d 1 4 d = d 4 d 1 4 d ba 2 4 (BH 3 bh 3 ) 32H Z 1 =0.1296r 3 Z 2 =0.0956r 3 Z 1 = r 3 Z 2 = r
37 x h h1 A y 0 c b1 b y0 y0 x I x bh bhb 1 h 3 3 h b 1 h i x bh 3 b 1 h (bhb 1 h 1 ) Z x bh 3 b 1 h 1 3 6h x y z y x y y QS x bi x S x I x Q max A y 1 b t x 0 f f x hw d d1 x d w h b 0 t b x b/3 r f y1 y2 y0 y y0 0 x x d/3 e bhw(bt) bf+wt b(dd 1 ) b 2 11 d ed/3 e d 1 r bd 3 b 2 d 2 r0.2358d 1 1+ d1 d1 b 2 th 2 f 2 (bt) y 1 2(bfwt) th3 3 (bt)f 2 Ay 3 1 y 2hy 1 d 2 r d2 e e 2fb 3 wt 3 12 b(d 3 d 13 ) 12 d 2 2 2fb 3 wt 3 12{bhw(bt)} d 2/3d 1/3d I x A d 3 d (dd 1 ) d dd 1 d 1 b/4 r1 r2 b e d/4 r 1d/6 r 2d/12 2fb 3 wt 3 6b b(d 3 d 13 ) 6d d/4 Z 1 I x y 1 I Z x 2 y2 y1 a y1 y1 2r y1 y1 h a t b 2r 2r2 2r1 e max max max max max 3 2 max max Q bh 3 2 Q bh 4 Q 3 r Q rt max Q r y 1 h 3 2 Q A (y 10) 2 Q y y a 2 a a 9 Q Q max 8 a A 1 2 (y 1 e a) y 1 r 4 3 Q A (y 10) 2 y 1 r Q Q rt 2 A (y 10) r 2 y 1 r 1 4 Q 3 (r 4 2 r 14 ) (r 2 2 y 12 ) r 1 y 1 4 Q r 3 (r 4 2 r 14 ) 2 2 r y 1 (r 2 2 y 12 )(r 2 1 y 12 ) 4 max (r 2 2 r 2 r 1r 12 ) 3(r 2 2 r 12 ) Q(r 2 2 r 2 r 1r 12 ) (r 2 4 r 14 ) A Q 4(r 2 2 r 2 r 1r 12 ) 3(r 2 2 r 12 ) D1D2 2 D e 1 D D 1 e D ed/4 e b 2i2 2 b 2i1 2 h h y1 b2 b1 b1 b2 b1 2 2 b2 b1 h1 h2 max h h y1 2 3Q (h 2(b 2 h 3 2 b 1 h 13 ) 2 2 4y 12 ) h 1 2 y 1 3Q 2(b 2 h 3 2 b 1 h 13 ) 3(b 2h 2 2 b 1 h 12 )(b 2 h 2b 1 h 1 ) 2(b 2 h 2 3 b 1 h 13 )(b 2b 1 ) b 2 h 2 2 b 1 h 1 2 b 2b 1 4y 1 2 max b 2 h b 1 h 1 (b 2 h 3 2 b 1 h 13 ) (b 2b 1 ) 3Q
38 y dy x B(y) y H B H c1 c2 x 1 Z p B(y)ydy B(y)ydy 0c 0 B(y) y c 1, c 2 Zp BH 2 /4 BH 2 /12 c 2 H a B a Zp BH 2 /6 2 a /6 dx max=rd b z t max y S O t y R d O O' dx M T O' b t x y 0 =e x S O d M T =GJ dx O' t max=m T M T max GJ J G EI W E x 0 y 0 I W J 0 e = 2 4 t J b d d 3 M T =GJ EIW dx dx 3 (tb) 3 18 I W 2 3 bt 3 B R d T R R H B T2 Tf T1 Tw H R B R B Tf Hf H Tw 4 d 3 /6 R T R 3 {1(1 ) 3 } 3 R BT 2 (HT 2 ) 1 (H2T 2 ) 2 T 2 1 BT f (HT f ) 1 (H2T f ) 2 T 4 w R 2 (H2T f0.4467r) 1 1 B 2 2 T f (H2T f )T 2 4 w R 2 (T w0.4467r) H B T H R m B H R m B B Hf H Tw H 2 2 Hf Hf 2 2 BH 6 2 4R m 2 T 1 A fh f A 4 wh f A f A w 1 A fh f A 4 wh f A f A w 1 1 A fb A 2 4 wt w A f A w h h b 1 h t t 1 t 1 S O S O t y b y x 0 =e 1 S t 2 t 3 b 2 b 1 y t 3 S O I 1 =t 1 h b 2 I y =2I 1I 3 O t 3 y 0 e 1 b t 1 t 1 y 2 e e 2 b 2 y 0 =e 2 x y 0 =e x A 1 =t 1 b A 2 =t 3 h A=A 1 A 2 x 3 t 1 b 1 I 1 = 12 3 t 2 b 2 I 2 = 12 I 3 = y 0x t 3 3b 12 e e 2 t 3 h 2 e = 2A e 1 I 1e 2 I 2 I 1I 2 = e 1 e 3 t 2 b h t 1 b 1 t 2 b 2 I 1 h I y 3t 1 h = e 2 6t 1 ht 3 b t 3 36 I 1 I 2 h 2 I 1I (b 1 b 2 ) (t 1 b) 3 (t 3 h) h t 1 b 1 t 2 b 2 = t 1 b 1 t 2 b 2 2 I 1 2I 1 I 3 I 1 = t 1 h 3 b 2 12 h 2 3 3t 1h2 6t 1 ht 3 b t (b 1b 2 ) 3 3 (bt 1 ht 3 ) b 1 t 1 b 2 t 2 ht ht 1 bt
39 R M0 max R CA,CB max A P C /2 /2 B P R AR B 2 P M 0 4 P 3 max 48EI P R AR B 2 P C AC B 8 P 3 max 192EI x A A /3 a P P C b P /3 P P P A /4 /4 B B B Pb R A Pa R B R AR BP 3P R AR B 2 M C Pab P M 0 3 P M 0 2 max max max Pb( 2 b 2 ) 3/2 (a>b 9 3 EI 2 b 2 c Pa2 b x= ) 2 3 3EI P 3 EI P 3 EI Pb R 2 A 3 (3ab) Pa R 2 B (3ba) 3 R AR BP 3P R AR B 2 Pab C 2 A 2 Pa C 2 b B 2 2P C AC B 9 5P C AC B 16 max max max 2Pa 3 b 2 2a (x= ) 3EI(3ab) 2 3ab P 3 EI P 3 EI A w B w R AR B 2 w 2 M 0 8 max w 4 EI w R AR B 2 w 2 C AC B 12 max w 4 EI x A x A A A w C a b c a w /2 /2 w a B w B B B 2cb R Awb 2 2ab R Bwb 2 w R A 6 w R B 3 w R AR B 4 w( a) R AR B 2 R M maxr A (a A ) 2w (xar A /w) M max0.064 (x0.577 ) w M w 2 w M 0 (3 2 4a 2 ) 24 wb C 48EI b 2 b 3 (2 b) } max EI 1 max 120 max {( ac)( ac) w 4 EI w 4 (x0.519 ) w (5 1920EI 2 4a 2 ) 2 wb R A {(b2c) (ac)(2acbcab)} R BwbR A 3w R A 20 7w R B 20 w R AR B 4 w( a) R AR B 2 C wb A {(b2c) (2ab) 1 3 b 2 (2 6c3b)} C wb B {(2ab) (b2c) 1 3 b 2 (2 6a3b)} w C 2 w A, C 2 30 B 20 M max w 2 (x0.548 ) 5w C 2 AC B 96 w M 2 max 32 w a C AC B ( 2 2a 2 3 ) 12 1 x 6EI 7 max 3840 max w {3C A x 2 R A x 3 (xa) 4 } 4 w 4 max (x0.525 ) EI w 4 EI w (5 1920EI 4 20 a 3 16a 4 ) A w D C E /4 /4 B R AR B 4 w w 2 M C 16 5w M 2 D,E 96 max w 4 EI R AR B 4 w 17 C AC B M C w w 2 max w 4 768EI A w C B /6 /6 R AR B 4 w 7w M 2 C 108 max w 4 EI R AR B 4 w 37 C AC B w M C w max w 4 EI x A a M C b B R AR B M M Ma Mb C or M( 2 3b 2 ) 3/2 max 9 3 EI (x= 2 3b 2 ) 3 6abM R AR B 3 bm C A 2 (2 3b) am C B 2 (2 3a) max b(2ab)3 M 54a 2 EI (x= (3a )/3a) x A M B R AR B M x M xm(1 ) M 2 max 9 3 EI (x=(1 1 3 ) )
40 R M max R M max A A x w C B x P P D B E C R AR C 8 5 R B w 4 5 R A P 16 5 R C P R B P 8 w 1 M B 8 9 M D (x ) 8 w 2 w 2 3 M B 16 P 5 M DM E 32 P max w 4 185EI (x0.422 ) P 3 max 48 5 EI (x= 1 ) 5 7P 3 D E 768EI P A A A w B a P b B B R BP R BP R Bw M BP M BPb 1 M B w P 3 A 3 EI 1 P A 6 EI 1 A 8 w 4 EI (3b 2 b 3 ) P P P P A D E BF G 3 3 x w A B C C 2 R AR C P 3 8 R B P 3 7 R A w 16 1 R C w 16 5 R B w 8 1 M B 3 P 1 M EM F 9 P 2 M DM G 9 P 1 M B M D (x ) 16 w 2 w 2 7 D G P w 4 O 768EI 1 (x ) 2 w A A M A B B B w w R B 2 w R B 2 R B0 1 M B w M B w 3 2 M BM 1 w 4 A 30 EI 11 w 4 A 120 EI 1 A 2 M 2 EI A A I 1 1 w1 D w 1 B B E I 2 2 w 2 w2 C C 1 R A 16 1 R C 16 5 R B 8 (7w 1w 2 ) (7w 2w 1 ) (w 1w 2 ) Ww 1 1w 2 2 R BWR AR C R A w (1) 1 (w w ) 1 M B 16 (w 1w 2 ) 1 M B 8(1) (w w ) 2 1 D 768EI 1 E 768EI (BC ) (7w 13w 2 ) 4 (7w 23w 1 ) 4 5w M B 2 O 384EI 2 16EI 2 x A x A x w A w B w B B 3 R A w 8 5 R B w 8 1 R A w 10 2 R B w 5 11 R A w 40 9 R B w 40 9 M max 128 w 2 3 (x 8 ) M 1 B 8 w 2 M max (x ) 1 M B 15 w 2 M max w 2 w 2 (x0.329 ) 7 M B w w 4 max EI (x ) w max EI (x ) w 4 max EI (x0.402 ) I 2 1 I1 2 R C w (1) 2 (w w ) x M A B R AR B 3 M 2 M maxm 1 M B M 2 1 M 2 max 27 EI 1 (x ) 3 x A /2 P /2 C B 5 R A P R B P 16 5 M C P 32 3 M B P 16 P 3 max EI (x )
41 f h S B I 2 I 2 D I 1 I 1 A E C I 1 K1 h I2 K 2 S K 2 kk1 h 2 (k3)f (3hf ) H P H P V 2 H P 8 3h2f w 3 V A 8 w V P V V A(1)P 1 V E 8 w V EP H H H w h5f H H H P 4 6h(1)f(34 2 ) V A V E V A V E w V wf -H V H V wf f (h 2 ) 8h 2 (k3)5f (4hf ) H wf 16 P V H P V H V 2Ph Ph2 12EK 1 HP 4(k1) k x b w wx -H H Vwx (h x 2 ) H wx(hb) 16h k (5h 2 b 2 )6h (2hf ) x P P -H H Px V Px H 4 x k(3h 2 h )3(2hf ) V V V V w V wh -H V H V wh2 2 wh 2 H 16 5kh6(2hf ) a H x V A P V E H V AP Px V E 3Px H 4h x k(h 2 a 2 )h(2hf )
42 f h a H w M A M A M A V A V S I 2 I 2 I 1 I 1 V M V A w M E M E V E H wf -H H M E V wx -H H M E V wh- H H V I 1 K1 h I2 K 2 S K 2 kk1 (khf) 2 4k (h 2 hff 2 ) w 3(4k1) w V E V 32 3k1 A V 2 E H w 2 k(4h5f )f 16 w 2 kh(8h15f )f(6hf) 3 M A { } 96 2(3k1) w 2 kh(8h15f )f(6hf) 3 M E { } 96 2(3k1) wf 12k(hf)5f V 8 (3k1) H wf 2kh 2 (k4)10khff 2 (5k1) 4 wf 12h(3k2)3f f{kh(4h9f )f(6hf)} M A [ ] 24 6k2 wf 12h(3k2)3f f{kh(4h9f )f(6hf)} M E [ ] 24 6k2 wa V 3 k 2h 3k1 2h(k2)2fa(k1) H wa3 k 4h wa M 2 2h 2 k(12h3hk4ak12a18f ) A { 24h 3a 2 k(kh2hf)8fk(3hfaf3ha)6hf 2 6h6k(3ha) } 3k1 wa M 2 2h 2 k(12h3hk4ak12a18f ) E { 24h 3a 2 k(kh2hf)8fk(3hfaf3ha)6hf 2 6h6k(3ha) } 3k1 wh 2 k V 2 3k1 H wh2 k{h(k3)2f 2 } 4 wh M 2 12k6 kh 2 (k6)kf (15h16f )6f 2 A { } 24 3k1 wh M 2 12k6 kh 2 (k6)kf (15h16f )6f 2 E { } 24 3k1 H H P M A b P a b a H V M M A V A V M A V x V A P M A H P -H P P P M M E M E M E M E V VE V V V E H H H H H P V 2 P H 4 P M 4 k(3h4f )f kh 2 hf(2k1) 3k(1)(12) V AP(1) 3k1 3k(32) V EP 3k1 HP {3k(hf )4 2 (k1) f3(khf )} P 1 M A [ {2k(1)h 2 2 3(2k)hf(14)f 2 (1)(12) 4 2 (k2)hf4 2 f 2 } ] 3k1 P 1 M E [ {2k(1)h 2 2 3(2k)hf(14)f 2 (1)(12) 4 2 (k2)hf4 2 f 2 } ] 3k1 Ph 3k V, HP 3k1 Ph 3k2 M A (M E ), Ph M 2 3k1 B (M D ) 2 Ph2 3k4 12EK 1 3k1 3k 3k1 3Pa 2 k 3h(k2)3f2a(k1) V E, Pa H 2 k 2h 3k1 2h Pa h 2 k(4hhk2ak6a6f )a 2 k(hk2hf ) M A { 2h 2fk(2hfaf3ah)hf 2 2h3k(2ha) } 6k2 Pa h 2 k(4hhk2ak6a6f )a 2 k(hk2hf ) M E { 2h 2fk(2hfaf3ah)hf 2 2h3k(2ha) } 6k2 3Pxk a V a{hfb(k1)} E, V 3Pxk H h 3k1 APV E, h Px h M 2 k(2bk2h3f )bfk(6h3b4f ) A { 2h h(3b 2 k 2 6b 2 kf 2 ) 3bkh } 3k1 Px h M 2 k(2bk2h3f )bfk(6h3b4f ) E { 2h h(3b 2 k 2 6b 2 kf 2 ) 3bkh } 3k
43 B I 2 C I 1 B I 2 C I 1 h I 1 I 1 K1 h I2 K 2 h I 1 I 1 K1 h I2 K 2 A D K 2 k K1 A D K 2 kk1 H V w V H V 2 w H w 2 4h 1 2k3 H V M M w V H V 2 w H w 2 4h M w k2 1 k2 V A(1)P V AP(1) 6k1(12) 6k1 H V A P V D H V DP 3P (1) H 2h 2k3 1 V 2 AV D 3P H 8h P 2 1 2k3 H M A V A P M D V D H V DPV A H 3P 2h M A P 2 M D P 2 (1) k2 (1) (1) 5k12(k2) (k2)(6k1) 7k32(k2) (k2)(6k1) w V wh -H V H wh V 2 2 5k6 Hwh 8(2k3) w V M A wh -H M D V H wh V 2 k 6k1 wh 2k3 H 8 k2 wh M 2 5k9 12k A k2 6k1 wh M 2 5k9 12k D 24 k2 6k1 P V H V H Ph V H P 2 P M V H M V H Ph V P H 2 Ph M A 2 3k 6k1 3k1 6k
44 h B I 1 A S I 2 C I 1 D n h I 1 K1 h I2 K 2 S K 2 k K1 1nn 2 (1n 3 )k f h I 2 B I 1 I 1 A C D I 1 K1 h I2 K 2 K 2 kk1 5h 2 (2k3)4f (5h2f ) w V 2 w w w V 2 H H H w 2 8h 1n H H H w 2 4 5h4f H V V A P V V D H V A(1)P V DP P (1) 2n(n1) H 2h 1 P V 2 AV D 2 3P n1 H 16h w V V wf -H V V H V wf (2hf ) 2 35h 2 (2k3)16f (7h2f ) H wf 14 w V wh(n-1) V H wh V 2 (n 2 2 1) wh(n1) 8k7n(n4) H 8 H P H V A(1)P V DP 5P H 2 3h 2f {(1)1} (1) V A V D w V wh -H V H wh V 2 2 H wh 8 5k2(n2) w V wh -H V H V wh2 2 5wh H 2 8 h(5k6)4f P Ph V P V Ph V P-H V H H P 2 2kn2 V - P H V H 5Ph H 2 h(2k3)2f
45 m K3EI/ 3 n= 3EI m 3 m b n, = 3EI (m0.23m b ) 3 a m m /2 /2 m b 3EI K48EI/ 3 n=4 m 3, 48EI m b n = (m0.5m b ) 3 3EI K (ab) 2 192EI K 3 1 n= ab 3EI n=8 m 3 3EI m E : t : M x1 w l a a /2 /2 m b/2 m m b b y b m K x EA EI b EI c h h m b n, =14 3EI K 3 (ab) 3 2EA K x sin 2 2EA K y cos 2 n= 1 bei K c x h 3 I c b 1 2I b h 2I b b 192EI 1 Ky b 3I c b h 3 8I b h 1 3I c b n= K m nx = ny= K x m K y m m, n= 3EI 3 a 3 b 3 m nx = ny= EI (m0.375m b ) 3 K x m K y m K (mm, /3) M (wl x 2 ) M x2 Q x1 M x1 M x2 M y2max M y1 Q y1 w M y1 M y2 Q x1 Q y1 l x M y2 M x2 M y1 l y M x (wl x 4 /Et 3 ) Q (wl x ) K 1 m m 2 K 2 ab n= K n m b = 1 K n K 1 K 2 b l y l x 0 K 2 m 1 K K 1 K 2 m 2 K 2 n = (1 ) 1 2 m 1 m 2 m 1 m K 2 4K 1 K 2 1 m (1 m 2 2 m ) 1 m 1 m 2 Km n EI
46 w 0.40 w Q y1 M x2 M x1 0.5lx Q y1 M y2 M y1 l y w M y1 w Q y1 M x2 My2 Q x1 l y M x1 M y w Mx2 Mx3 My2 Mx1 l y w My2 Mx2 w Mx1 l y 0.35 l x l x M x w My1 My1 My l x l x M (wl x 2 ) (wl x 4 /Et 3 ) Q (wl x ) M (wlx 2 ) Mx1 My1 My3 max. w (wl x 4 /Et 3 ) 0.10 M x1 M y1 Q x1 Q y1 M y2 M y2max Mx3 max Q x My1 My3 max M x2max M x2 Q y1 M y2max l y l y l x l x My2 max. Mx1 My1 My2 max. Mx2 max Mx2 max. ww w max l y /lx l y /lx
47 w Q y3 M y2 M Q x2 x1 Q y1 w M ymax M x1 M y1 l y w M y1 Q x3 M y2 M x2 Q y1 w M x1 Q x1 l y My2 Mx2 My2 max. w Mx1 max. l y w My2 Mx2 w Mx1 l y l x l x w My1 My1 l x l x Mx M x M (wl x 2 ) M y1 Q x1 M x1 M xmax M ymax M y1 Q x1 Q y (wl x 4 /Et 3 ) Q (wl x ) Mx1 max. My1 My M x2 M ymax Q y1 Q x3 M x2 Q x3 M y M wlx Mx2 Mx2 max. Mx2 w (wl x 4 /Et 3 ) M y l y l y 0 w My2 max. l x l x My2 max. My2 My2 l y /lx l y /lx
48 0.50 w w Q y M y M y M x M x l y 0.45 M x1 M y1 Q x Q x Q y M y l x M wl x M x M y Q x (wl x 4 /Et 3 ) Q wl x M (wl x 2 ) w M y2 w M x2 M x1 l y (wl x 4 /Et 3 ) Q y,q y Q x M x 0.15 M y1 l x 0.6 M y M y 0.05 M y2max 0.2 l y l x l y l x M x2max
49 w M y2 M x2 w Q x1 l y w M y2 M x2 w Q x1 l y w Q x1 M y2 w M x2 l y 0.16 M x1 Q y1 Q y1 l x M y1 l x Q y1 M y2max 0.14 l x M x Q y1 M (wl x 2 ) M x1 Q x1 Q y1 M y1 M x (wl x 4 /Et 3 ) Q (wl x ) M (wl x 2 ) Q x (wl x 4 /Et 3 ) Q (wl x ) 0.04 M x2 Q x1 Q x M y2max M y M y2max M y l y 1.0 l y l x l x l y l x M y
50 l lk l l l l l l l l 2l l lk lk lk lk lk lk
51 MEMO
52 MEMO 3-33
53
54
55
56 H b/t f D2t f /t w tw tf b b D ) + +) + B/t D/t t t B D ) + ) + K K K K K K K K
57
58 E )B E> D
59 C 1.0 MEMO ib h C 2.3 C 2.2 Af C 1.8 C 2.0 i C 1.6 C 1.4 C
60 MEMO 4-15
61 FB FB FC FB FB FB FC FB FB FC FB FB FB ,130 1,250 1,350 1,420 1,
62 FC FB FB FC FB FB FB FB FC FB FC FB FB FC FC FC FB FB 1,640 1,910 2,030 2,280 2,420 2,650 2,520 2,850 3,030 3,330 3,540 3,840 4,480 5,570 8,17 12, ,120 1,170 1,300 1,530 1,930 2,900 4,
63 FB FB FB FB FB FB FB FB FB ,070 1,250 1,700 1,940 2,090 2,490 2,920 2,420 2,820 3,
64 FC FC FB FC FB FC FB 3,400 3,890 4,500 4,870 5,640 6,590 6,270 7,160 8,270 9,270 7,610 8,990 10,800 11, , ,040 1,
65 FC FB FC FC FB FB FB ,170 1,
66 FC FC FC FB 1,260 1,460 1,750 1,650 1,870 2,190 2,240 2,520 2,910 3,
67
68 FC FC FC FC FC FC FC FC FB 1,130 1,390 1,580 1,760 1,450 1,640 1,820 1,310 1,610 1,830 2,040 1,690 1,910 2,120 2,320 1,570 1,950 2,220 2,490 2,030 2,300 2,560 2,820 3,
69 FB 1,780 2,210 2,530 2,830 2,320 2,620 2,920 3,220 3, ,500 1,840 2,090 2,330 1,940 2,180 2,420 2,
70 FB FB FB 2,590 2,960 2,690 3,060 3,430 3,780 4,130 3,130 3,490 3,840 4,180 3,200 3,550 3,900 4,240 4,680 1,700 2,070 2,350 2,620 2,200 2,470 2,740 2,
71 FB FB FB 2,900 3,320 3,030 3,450 3,850 4,250 4,640 3,530 3,930 4,320 4,710 4,010 4,400 4, FB FB 2,010 2,490 2,840 3,180 2,610 2,960 3,290 3,620 3,
72 FC FC FC FC FC FC FC FC FC FC FB FB FB FB FB FB 1,900 2,320 2,620 2,920 2,470 2,770 3,060 3,350 3,630 2,770 3,150 2,920 3,300 3,670 4,040 4,390 3,400 3,770 4,130 4,480 3,860 4,220 4,570 5,
73 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H FC FC FC FC FC FC FB FB FC FC FC FC 3,690 3,380 3,840 4,290 4,290 4,730 4,730 5,160 3,940 4,380 4,380 4,820 4,820 5,250 5,250 5,800 4,480 4,480 4,910 4,910 5,330 5,330 5,890 5,890 2,110 2,570 2,900 3,220 2,750 3,070 3,400 3,710 4,
74 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H FB FB FC FC FC FB FB FB 3,740 4,240 4,730 4,730 5,210 5,210 4,360 4,850 4,850 5,320 5,320 5,790 5,790 4,960 4,960 5,440 5,440 5,900 5,900 6, , FB FB FC 3,060 3,240 3,660 4,060 4,460 4,850 3,770 4,180 4,570 4,960 4,290 4,680 5,070 5,
75 FC FC FC FC 2,370 2,860 3,220 3,580 3,080 3,430 3,780 4,120 4,460 3,400 3,850 3,610 4,060 4,500 4,940 4,200 4,640 5,070 5,
76 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H FC FC FC FC FC FC FC FC 4,690 5,230 5,230 5,750 5,750 6,270 6,270 4,830 5,360 5,360 5,880 5,880 6,390 6,390 7,060 5,490 5,490 6,010 6,010 6,520 6,520 7,180 7,180 7, , HBL -H355 HBL -H355 HBL -H FC FC FC FC 5,950 6,560 6,080 6,700 7,300 8,080 8,080 6,830 7,420 8,200 8,200 8,960 8, , ,020 1,140 1,310 1,310 1,020 1,140 1,310 1,310 1,470 1,
77 ,950 4,440 4,920 5,390 4,600 5,070 5,540 5, HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H FB FB FB FB FB FB FB FB 5,280 5,850 5,850 6,410 6,410 6,970 6,010 6,010 6,570 6,570 7,120 7,120 7,840 6,630 7,290 7,940 8,790 8,790 7,440 8,090 8,940 8,940 9,760 9, ,020 1,140 1,310 1,310 1,020 1,140 1,310 1,310 1,470 1,
78 FC FC FC FC FC FC FC FC FC FC FC FC FB 5,520 6,020 6,510 5,700 6,200 6,680 7,320 6,350 6,350 6,960 6,960 7,560 7,560 8,340 8,340 6,530 6,530 7,130 7,130 7,730 7,730 8,500 8,500 9, , HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355
79 FC FC FC FC FC FC FC 7,900 8,600 8,070 8,770 9,680 9,680 10,600 10,600 8,340 9,030 9,930 9,930 10,800 10,800 11,700 11,700 1,020 1,140 1,020 1,150 1,310 1,310 1,470 1,470 1,020 1,150 1,310 1,310 1,470 1,470 1,640 1, FC FC FC FC FC FC FC 8,840 9,640 9,010 9,810 10,900 10,900 11,900 11,900 10,100 11,100 11,100 12,100 12,100 13,100 13,100 1,330 1,490 1,330 1,490 1,710 1,710 1,920 1,920 1,500 1,710 1,710 1,920 1,920 2,140 2, HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355
80 ,980 6,510 7,040 6,180 6,720 7,240 7, FB 6,870 7,520 8,160 7,070 7,720 8,350 9,180 8,720 9,460 10,400 10,400 9,760 10,700 10,700 11,700 11,700 12,600 12, ,020 1,150 1,310 1,310 1,150 1,310 1,310 1,470 1,470 1,640 1, HBL -H355 HBL -H355 HBL -H355 HBL -H355
81 FC FB FB FB FB FB FB 7,390 8,080 6,930 7,620 8,310 8,990 9,880 7,970 8,650 9,320 10,200 11, , FB FB FB 5,870 6,450 7,020 6,110 6,680 7,250 7, FB 9,720 10,600 11,700 11,700 10,900 12,000 12,000 13,100 13,100 14,200 14,200 1,330 1,490 1,710 1,710 1,500 1,710 1,710 1,920 1,920 2,140 2, HBL -H355 HBL -H355 HBL -H355 HBL -H355
82 FB FB FB FB FB 10,400 11,400 12,600 12,600 11,700 12,900 12,900 14,100 14,100 15,200 15,200 1,340 1,490 1,710 1,710 1,500 1,710 1,710 1,920 1,920 2,140 2, HBL -H355 HBL -H355 HBL -H355 HBL -H FC FC FC FC FC 7,190 7,790 8,390 9,160 8,180 8,760 9,530 10,300 11, FB FB FB FB FB FB 9,370 10,200 11,200 11,200 9,720 10,500 11,500 11,500 12,600 12,600 13,600 13,600 1,020 1,150 1,310 1,310 1,020 1,150 1,310 1,310 1,470 1,470 1,640 1, HBL -H355 HBL -H355 HBL -H355 HBL -H355
83 FC FC FC FC FC FC 9,190 10,000 10,900 12,000 12,000 10,400 11,300 12,400 12,400 13,500 13,500 14,500 14, ,020 1,150 1,310 1,310 1,020 1,150 1,310 1,310 1,470 1,470 1,640 1, HBL -H355 HBL -H355 HBL -H355 HBL -H FC FC FC FC FC 8,190 8,920 9,640 10,600 9,300 10,000 11,000 11,000 11,900 11,900 12, ,080 1,080 1, HBL -H355 HBL -H355
84 ,770 9,540 10,300 11,300 9,970 10,700 11,700 11,700 12,700 12,700 13, ,080 1,080 1, FB FB HBL -H355 HBL -H FC FC FC FC FC FB FC 10,200 11,200 12,100 13,400 13,400 11,600 12,500 13,800 13,800 15,000 15,000 16,300 16,300 1,180 1,340 1,500 1,710 1,710 1,340 1,500 1,710 1,710 1,920 1,920 2,140 2, ,720 8,350 8,980 9,810 8,780 9,400 10,200 11,000 11, HBL -H355 HBL -H355 HBL -H355 HBL -H355
85 FB FB 9,820 10,700 11,600 12,800 12,800 11,200 12,000 13,200 13,200 14,400 14,400 15,500 15, ,020 1,150 1,310 1,310 1,020 1,150 1,310 1,310 1,470 1,470 1,640 1, FB FB FB 10,900 11,900 12,900 14,300 14,300 12,300 13,400 14,700 14,700 16,000 16,000 17,300 17,300 1,180 1,340 1,500 1,710 1,710 1,340 1,500 1,710 1,710 1,920 1,920 2,140 2, HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109 O O N N J J
110
111 J
112 kg/m 2
113 MEMO 5-105
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
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147
148
149
150
151
152
153
154
155
156
157
158
159
160
161 p p p e p e S s e 3 e 1 S s e 3 p e 2 e 1 e 2 e 1 p e 1 e 2 B B e p p p p e G 5-M20 6-M20 8-M20 9-M20 10-M20 5-M20 6-M20 8-M20 10-M20 12-M B M-14 M-16 M-18 M-20 M-22 M-24 M-27 M-30 M-33 1-M16 1-M16 1-M20 1-M20 1-M22 2-M20 2-M20 2-M22 2-M FB PL-6 28 FB PL-6 28 FB PL-9 34 FB PL-9 34 FB PL-9 38 FB PL-9 38 FB PL-9 45 FB PL FB PL
162 B B e p p e e p p p p e FB FB FB FB FB FB FB FB FB FB M16 2-M16 3-M16 3-M16 3-M20 3-M20 3-M20 4-M20 4-M20 5-M L L L L L L L L L L M16 5-M16 5-M20 7-M16 5-M20 5-M20 7-M20 5-M20 6-M20 8-M e p p p p e B e p p p p e B L L L L L L L L L L M16 5-M16 5-M16 6-M16 5-M20 5-M20 6-M20 4-M20 5-M20 6-M L L L L L L L L L L M M M M M M M M M M
163 MEMO 6-99
164
165 h0 H h l Mtop H Mtop Mmax Mtop l m l m1 H h e l h M 0 /2 Mmax M 0 l m lm1 l H Mmax l m lm1 H l lm1 Mmax M 0 l lm1 m y (1h) 3 1/2 t H y (1h) 3 2 y H 3EI t H t y H 3 12EI 3 2EI t 3 4EI 3 1(h) y y 1h 0 H 0 H y 2EI 3 4EI 0 y y 3 t 0 y t (1h) 2 t H t0 t 0 2EI 2 H t 2EI 2 M 00 1h M 0 2 H M 00 H M 0 2 M max H (12h) exp tan 1 exp [ ( ) ] 12h tan 1 1 h 1 l m tan 1 1 l 1 12h 1h tan 1 h M max H (1(h) l m tan 1 1 l tan 1 1 h h1 h1 M max l m 4 l 2 H e H sin 4 H M max e M 0 l m 2 3 l 4 2 hd/4ei 1/4 hd/4ei 1/
166
167
168
169
170
171
172
173 MEMO 7-19
174 A A A-A,
175
176
177
178
179
180
181
182
183
184
185 2.7 L 3.4 L
186
187
188
189 qs sc afcec Fc sc a Fc Ec Ec10 5 qs r D T FcEc LdL/d d d F d l d D T l r l' l l l qs= nd bd Hd L Hd sc afcec nd ndnd bd LHd Hd Hd L bdd
190 8-33 B p p f f p f f p lx t t wp lx t lx ly/lx lx ly wp 8-34
191 A H x x Y Y B H x x Y Y B A H x x Y Y A B
192 M M My Mx M w 2 w M max M 2 8 max 8 wx w cos wy w sin Mx w 2 cos 8 w 2 ft 157 N/mm 2 8 My w Mx My cos sin ( 2 Zx Zy Zx Zy sin 8 ( 5w 4 w 4 x 384EIx cos x 185EIx cos 5w 4 w 4 y 384EIy sin y 185EIy sin w 2 M Zx 8Zx x ft 5w 4 384EIx x w 4 185EIx
193
194
195
196
197
198
199 l b d l B dc D
200 ABR400 ABM ABR490 ABM M16 M18 M20 M22 M24 M27 M30 M33 M36 M39 M42 M45 M ,030 1,180 1,370 1, ,120 1,310 1, M16 M18 M20 M22 M24 M27 M30 M33 M36 M39 M42 M45 M ,030 1,180 1,370 1, ,120 1,310 1,
201 d t D LC d e x N M24 M27 M30 M33 M36 M ,020 1, , Z x n c D e 2 a a t p t bd b M42 M45 1,390 1,590 1,210 1, p0.010 M48 M24 M27 1, , x n /d 0 d p0.005 p0.003 p0.002 p0.001 p M30 M33 M36 M ,020 1, , x/d M42 1,390 1, M45 1,590 1, M48 1,810 1, M52 2,120 1, M56 2,460 2, M60 2,830 2, M64 3,220 2, M68 3,630 3, , M72 M76 M80 M85 M90 M95 4,070 4,540 5,030 5,670 6,360 7,090 3,460 3,890 4,340 4,950 5,590 6,270 1,020 1,150 1,280 1,460 1,650 1,850 1,200 1,340 1,480 1,670 1,880 2, , ,100 1,230 1,400 1,580 1,770 M100 7,850 6,990 2,060 2,320 1,190 1,
202
203
204
205
206
207
208
209
210
211
212 MEMO
213 MEMO 8-79
214 -1-2
215 J2 A J1 A J1 J2 A J A J J A J A -3-4
216 -5-6
217 -7-8
218 -9-10
219 -11-12
220 L W T P R R L T W R R P D L P R R W B L T P R R r3mm L t b do R R
221 -15-16
222 -17-18
223 -19-20
224 MEMO MEMO
225
226
227
228 Cat.No.A1J TEL03(3597)3111X03(3597) TEL 06(6342)0707 X 06(6342) TEL 052(561)8612 X 052(561) TEL 011(251)2551 X 011(251) TEL 022(221)1691 X 022(221) TEL 025(241)9111 X 025(241) TEL 076(441)2056 X 076(441) TEL 082(245)9700 X 082(245) TEL 087(822)5100 X 087(822) TEL 092(263)1651 X 092(263) TEL 043(238)8001 X 043(238) TEL 045(212)9860 X 045(212) TEL 054(288)9910 X 054(288) TEL 086(224)1281 X 086(224) TEL 098(868)9295 X 098(868)5458 Copyright JFE Steel Corporation. All Rights Reserved. 1712R (1308) 1-1 SPa
6-1 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
(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0
1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45
76 3 B m n AB P m n AP : PB = m : n A P B P AB m : n m < n n AB Q Q m A B AQ : QB = m : n (m n) m > n m n Q AB m : n A B Q P AB Q AB 3. 3 A(1) B(3) C(
3 3.1 3.1.1 1 1 A P a 1 a P a P P(a) a P(a) a P(a) a a 0 a = a a < 0 a = a a < b a > b A a b a B b B b a b A a 3.1 A() B(5) AB = 5 = 3 A(3) B(1) AB = 3 1 = A(a) B(b) AB AB = b a 3.1 (1) A(6) B(1) () A(
6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m f 4
35-8585 7 8 1 I I 1 1.1 6kg 1m P σ σ P 1 l l λ λ l 1.m 1 6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m
1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載
1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載のない限り 熱容量を考慮した空き容量を記載しております その他の要因 ( 電圧や系統安定度など ) で連系制約が発生する場合があります
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PLC HMI High flexibility Simple networking Easy to use 190 HMI 2
PLC HMI High flexibility Simple networking Easy to use 190 HMI 2 Contents 4 11 14 15 3 SIMATIC PLC190 24 S7-1200/ S7-1200 S7-1200 I/OCPU ROM SIMATIC S7-1200PLC 4 S7-1200 CPU 100Mbps HMI-PLCPC-PLCPLC16
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y)
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3.300 m m m m m m 0 m m m 0 m 0 m m m he m T m 1.50 m N/ N
3.300 m 0.500 m 0.300 m 0.300 m 0.300 m 0.500 m 0 m 1.000 m 2.000 m 0 m 0 m 0.300 m 0.300 m -0.200 he 0.400 m T 0.200 m 1.50 m 0.16 2 24.5 N/ 3 18.0 N/ 3 28.0 18.7 18.7 14.0 14.0 X(m) 1.000 2.000 20 Y(m)
(3) (2),,. ( 20) ( s200103) 0.7 x C,, x 2 + y 2 + ax = 0 a.. D,. D, y C, C (x, y) (y 0) C m. (2) D y = y(x) (x ± y 0), (x, y) D, m, m = 1., D. (x 2 y
[ ] 7 0.1 2 2 + y = t sin t IC ( 9) ( s090101) 0.2 y = d2 y 2, y = x 3 y + y 2 = 0 (2) y + 2y 3y = e 2x 0.3 1 ( y ) = f x C u = y x ( 15) ( s150102) [ ] y/x du x = Cexp f(u) u (2) x y = xey/x ( 16) ( s160101)
HITACHI 液晶プロジェクター CP-AX3505J/CP-AW3005J 取扱説明書 -詳細版- 【技術情報編】
B A C E D 1 3 5 7 9 11 13 15 17 19 2 4 6 8 10 12 14 16 18 H G I F J M N L K Y CB/PB CR/PR COMPONENT VIDEO OUT RS-232C LAN RS-232C LAN LAN BE EF 03 06 00 2A D3 01 00 00 60 00 00 BE EF 03 06 00 BA D2 01
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空き容量一覧表（154kV以上）
1/3 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量 覧 < 留意事項 > (1) 空容量は 安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 熱容量を考慮した空き容量を記載しております その他の要因 ( や系統安定度など ) で連系制約が発 する場合があります (3) 表 は 既に空容量がないため
2/8 一次二次当該 42 AX 変圧器 なし 43 AY 変圧器 なし 44 BA 変圧器 なし 45 BB 変圧器 なし 46 BC 変圧器 なし
1/8 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載のない限り 熱容量を考慮した空き容量を記載しております その他の要因 ( や系統安定度など ) で連系制約が発生する場合があります (3)
取扱説明書 -詳細版- 液晶プロジェクター CP-AW3019WNJ
B A C D E F K I M L J H G N O Q P Y CB/PB CR/PR COMPONENT VIDEO OUT RS-232C LAN RS-232C LAN LAN BE EF 03 06 00 2A D3 01 00 00 60 00 00 BE EF 03 06 00 BA D2 01 00 00 60 01 00 BE EF 03 06 00 19 D3 02 00
December 28, 2018
e-mail : kigami@i.kyoto-u.ac.jp December 28, 28 Contents 2............................. 3.2......................... 7.3..................... 9.4................ 4.5............. 2.6.... 22 2 36 2..........................
1 No.1 5 C 1 I III F 1 F 2 F 1 F 2 2 Φ 2 (t) = Φ 1 (t) Φ 1 (t t). = Φ 1(t) t = ( 1.5e 0.5t 2.4e 4t 2e 10t ) τ < 0 t > τ Φ 2 (t) < 0 lim t Φ 2 (t) = 0
1 No.1 5 C 1 I III F 1 F 2 F 1 F 2 2 Φ 2 (t) = Φ 1 (t) Φ 1 (t t). = Φ 1(t) t = ( 1.5e 0.5t 2.4e 4t 2e 10t ) τ < 0 t > τ Φ 2 (t) < 0 lim t Φ 2 (t) = 0 0 < t < τ I II 0 No.2 2 C x y x y > 0 x 0 x > b a dx
さくらの個別指導 ( さくら教育研究所 ) A 2 P Q 3 R S T R S T P Q ( ) ( ) m n m n m n n n
1 1.1 1.1.1 A 2 P Q 3 R S T R S T P 80 50 60 Q 90 40 70 80 50 60 90 40 70 8 5 6 1 1 2 9 4 7 2 1 2 3 1 2 m n m n m n n n n 1.1 8 5 6 9 4 7 2 6 0 8 2 3 2 2 2 1 2 1 1.1 2 4 7 1 1 3 7 5 2 3 5 0 3 4 1 6 9 1
II (10 4 ) 1. p (x, y) (a, b) ε(x, y; a, b) 0 f (x, y) f (a, b) A, B (6.5) y = b f (x, b) f (a, b) x a = A + ε(x, b; a, b) x a 2 x a 0 A = f x (
II (1 4 ) 1. p.13 1 (x, y) (a, b) ε(x, y; a, b) f (x, y) f (a, b) A, B (6.5) y = b f (x, b) f (a, b) x a = A + ε(x, b; a, b) x a x a A = f x (a, b) y x 3 3y 3 (x, y) (, ) f (x, y) = x + y (x, y) = (, )
66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI
65 8. K 8 8 7 8 K 6 7 8 K 6 M Q σ (6.4) M O ρ dθ D N d N 1 P Q B C (1 + ε)d M N N h 2 h 1 ( ) B (+) M 8.1: σ = E ρ (E, 1/ρ ) (8.1) 66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3)
5. F(, 0) = = 4 = 4 O = 4 =. ( = = 4 ) = 4 ( 4 ), 0 = 4 4 O 4 = 4. () = 8 () = 4
... A F F l F l F(p, 0) = p p > 0 l p 0 P(, ) H P(, ) P l PH F PF = PH PF = PH p O p ( p) + = { ( p)} = 4p l = 4p (p 0) F(p, 0) = p O 3 5 5. F(, 0) = = 4 = 4 O = 4 =. ( = = 4 ) = 4 ( 4 ), 0 = 4 4 O 4 =
6 2 2 x y x y t P P = P t P = I P P P ( ) ( ) ,, ( ) ( ) cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ y x θ x θ P
6 x x 6.1 t P P = P t P = I P P P 1 0 1 0,, 0 1 0 1 cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ x θ x θ P x P x, P ) = t P x)p ) = t x t P P ) = t x = x, ) 6.1) x = Figure 6.1 Px = x, P=, θ = θ P
dynamics-solution2.dvi
1 1. (1) a + b = i +3i + k () a b =5i 5j +3k (3) a b =1 (4) a b = 7i j +1k. a = 14 l =/ 14, m=1/ 14, n=3/ 14 3. 4. 5. df (t) d [a(t)e(t)] =ti +9t j +4k, = d a(t) d[a(t)e(t)] e(t)+ da(t) d f (t) =i +18tj
25 7 18 1 1 1.1 v.s............................. 1 1.1.1.................................. 1 1.1.2................................. 1 1.1.3.................................. 3 1.2................... 3
1 26 ( ) ( ) 1 4 I II III A B C (120 ) ( ) 1, 5 7 I II III A B C (120 ) 1 (1) 0 x π 0 y π 3 sin x sin y = 3, 3 cos x + cos y = 1 (2) a b c a +
6 ( ) 6 5 ( ) 4 I II III A B C ( ) ( ), 5 7 I II III A B C ( ) () x π y π sin x sin y =, cos x + cos y = () b c + b + c = + b + = b c c () 4 5 6 n ( ) ( ) ( ) n ( ) n m n + m = 555 n OAB P k m n k PO +
4 4 4 a b c d a b A c d A a da ad bce O E O n A n O ad bc a d n A n O 5 {a n } S n a k n a n + k S n a a n+ S n n S n n log x x {xy } x, y x + y 7 fx
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II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2
![II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2](/thumbs/101/149159646.jpg "II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2")
II No.1 [n/] [1]H n x) H n x) = 1) r n! r!n r)! x)n r r= []H n x) n,, H n x) = 1) n H n x) [3] H n x) = 1) n dn x e dx n e x [4] H n+1 x) = xh n x) nh n 1 x) ) d dx x H n x) = H n+1 x) d dx H nx) = nh
HITACHI 液晶プロジェクター CP-EX301NJ/CP-EW301NJ 取扱説明書 -詳細版- 【技術情報編】 日本語
A B C D E F G H I 1 3 5 7 9 11 13 15 17 19 2 4 6 8 10 12 14 16 18 K L J Y CB/PB CR/PR COMPONENT VIDEO OUT RS-232C RS-232C RS-232C Cable (cross) LAN cable (CAT-5 or greater) LAN LAN LAN LAN RS-232C BE
() x + y + y + x dy dx = 0 () dy + xy = x dx y + x y ( 5) ( s55906) 0.7. (). 5 (). ( 6) ( s6590) 0.8 m n. 0.9 n n A. ( 6) ( s6590) f A (λ) = det(a λi)
0. A A = 4 IC () det A () A () x + y + z = x y z X Y Z = A x y z ( 5) ( s5590) 0. a + b + c b c () a a + b + c c a b a + b + c 0 a b c () a 0 c b b c 0 a c b a 0 0. A A = 7 5 4 5 0 ( 5) ( s5590) () A ()
Z 2 10Z MPa MPa MPa MPa 1.5MPa s s s JIS 6g/6H SD SD/B LB LS
3 03 0.01MPa 0.1MPa 0.1MPa 0.01MPa 1.MPa 0s 0s 0s JIS g/h SDSD/BLB LS0 F FBTT/BTB TB/BCUCU/B SDLCFTT/B TCTC/BDBD SDSD/BLB LS0 F FBTT/BTB TB/BCUCU/B SDLBFTT/B SKSPLK LP FKFP SKSPLK LP FKFP TKTPDPBDBP TKTPDPBDBP
さくらの個別指導 ( さくら教育研究所 ) A 2 2 Q ABC 2 1 BC AB, AC AB, BC AC 1 B BC AB = QR PQ = 1 2 AC AB = PR 3 PQ = 2 BC AC = QR PR = 1
... 0 60 Q,, = QR PQ = = PR PQ = = QR PR = P 0 0 R 5 6 θ r xy r y y r, x r, y x θ x θ θ (sine) (cosine) (tangent) sin θ, cos θ, tan θ. θ sin θ = = 5 cos θ = = 4 5 tan θ = = 4 θ 5 4 sin θ = y r cos θ =
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all-round catalogue vol.2 000 001 002 003 AA0102 AA0201 AA0701 AA0801 artistic brushes AA0602 AB2701 AB2702 AB2703 AB2704 AA0301 AH3001 AH3011 AH3101 AH3201 AH3111 AB3201 AB3202 AB2601 AB2602 AB0701 artistic
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1 8, : 8.1 1, 2 z = ax + by + c ax by + z c = a b +1 x y z c = 0, (0, 0, c), n = ( a, b, 1). f = n i=1 a ii x 2 i + i<j 2a ij x i x j = ( x, A x), f =
1 8, : 8.1 1, z = ax + by + c ax by + z c = a b +1 x y z c = 0, (0, 0, c), n = ( a, b, 1). f = a ii x i + i
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0 9 (1990 1999 ) 10 (2000 ) 1900 1994 1995 1999 2 SAT ACT 1 1990 IMO 1990/1/15 1:00-4:00 1 N 1990 9 N N 1, N 1 N 2, N 2 N 3 N 3 2 x 2 + 25x + 52 = 3 x 2 + 25x + 80 3 2, 3 0 4 A, B, C 3,, A B, C 2,,,, 7,
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5 n P j j (P i,, P k, j 1) 1 n n ) φ(n) = n (1 1Pj [ ] φ φ P j j P j j = = = = = n = φ(p j j ) (P j j P j 1 j ) P j j ( 1 1 P j ) P j j ) (1 1Pj (1 1P
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p P 1 n n n 1 φ(n) φ φ(1) = 1 1 n φ(n), n φ(n) = φ()φ(n) [ ] n 1 n 1 1 n 1 φ(n) φ() φ(n) 1 3 4 5 6 7 8 9 1 3 4 5 6 7 8 9 1 4 5 7 8 1 4 5 7 8 10 11 1 13 14 15 16 17 18 19 0 1 3 4 5 6 7 19 0 1 3 4 5 6 7
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5 28 EAR CCLECCN ECCN 1. 2. 3. 4. 5.EAR page 1 of 28 WWW.Agilent.co.jp -> Q&A ECCN 10020A 10070A 10070B 10070C 10071A 10071B 10072A 10073A 10073B 10073C 10074A 10074B 10074C 10076A 10229A 10240B 10430A
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
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f : R R f(x, y) = x + y axy f = 0, x + y axy = 0 y 直線 x+y+a=0 に漸近し 原点で交叉する美しい形をしている x +y axy=0 X+Y+a=0 o x t x = at 1 + t, y = at (a > 0) 1 + t f(x, y
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body.dvi
..1 f(x) n = 1 b n = 1 f f(x) cos nx dx, n =, 1,,... f(x) sin nx dx, n =1,, 3,... f(x) = + ( n cos nx + b n sin nx) n=1 1 1 5 1.1........................... 5 1.......................... 14 1.3...........................
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chap1.dvi
1 1 007 1 e iθ = cos θ + isin θ 1) θ = π e iπ + 1 = 0 1 ) 3 11 f 0 r 1 1 ) k f k = 1 + r) k f 0 f k k = 01) f k+1 = 1 + r)f k ) f k+1 f k = rf k 3) 1 ) ) ) 1+r/)f 0 1 1 + r/) f 0 = 1 + r + r /4)f 0 1 f
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1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1
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n Y 1 (x),..., Y n (x) 1 W (Y 1 (x),..., Y n (x)) 0 W (Y 1 (x),..., Y n (x)) = Y 1 (x)... Y n (x) Y 1(x)... Y n(x) (x)... Y n (n 1) (x) Y (n 1)
D d dx 1 1.1 n d n y a 0 dx n + a d n 1 y 1 dx n 1 +... + a dy n 1 dx + a ny = f(x)...(1) dk y dx k = y (k) a 0 y (n) + a 1 y (n 1) +... + a n 1 y + a n y = f(x)...(2) (2) (2) f(x) 0 a 0 y (n) + a 1 y
< 1 > (1) f 0 (a) =6a ; g 0 (a) =6a 2 (2) y = f(x) x = 1 f( 1) = 3 ( 1) 2 =3 ; f 0 ( 1) = 6 ( 1) = 6 ; ( 1; 3) 6 x =1 f(1) = 3 ; f 0 (1) = 6 ; (1; 3)
< 1 > (1) f 0 (a) =6a ; g 0 (a) =6a 2 (2) y = f(x) x = 1 f( 1) = 3 ( 1) 2 =3 ; f 0 ( 1) = 6 ( 1) = 6 ; ( 1; 3) 6 x =1 f(1) = 3 ; f 0 (1) = 6 ; (1; 3) 6 y = g(x) x = 1 g( 1) = 2 ( 1) 3 = 2 ; g 0 ( 1) =
応力とひずみ.ppt
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(2016 2Q H) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y
![(2016 2Q H) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y](/thumbs/98/136512264.jpg "(2016 2Q H) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y")
(2016 2Q H) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = a c b d (a c, b d) P = (a, b) O P a p = b P = (a, b) p = a b R 2 { } R 2 x = x, y R y 2 a p =, c q = b d p + a + c q = b + d q p P q a p = c R c b
.5 z = a + b + c n.6 = a sin t y = b cos t dy d a e e b e + e c e e e + e 3 s36 3 a + y = a, b > b 3 s363.7 y = + 3 y = + 3 s364.8 cos a 3 s365.9 y =,
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f(x) = x (1) f (1) (2) f (2) f(x) x = a y y = f(x) f (a) y = f(x) A(a, f(a)) f(a + h) f(x) = A f(a) A x (3, 3) O a a + h x 1 f(x) x = a
3 3.1 3.1.1 A f(a + h) f(a) f(x) lim f(x) x = a h 0 h f(x) x = a f 0 (a) f 0 (a) = lim h!0 f(a + h) f(a) h = lim x!a f(x) f(a) x a a + h = x h = x a h 0 x a 3.1 f(x) = x x = 3 f 0 (3) f (3) = lim h 0 (
5. [1 ] 1 [], u(x, t) t c u(x, t) x (5.3) ξ x + ct, η x ct (5.4),u(x, t) ξ, η u(ξ, η), ξ t,, ( u(ξ,η) ξ η u(x, t) t ) u(x, t) { ( u(ξ, η) c t ξ ξ { (
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5 5.1 [ ] ) d f(t) + a d f(t) + bf(t) : f(t) 1 dt dt ) u(x, t) c u(x, t) : u(x, t) t x : ( ) ) 1 : y + ay, : y + ay + by : ( ) 1 ) : y + ay, : yy + ay 3 ( ): ( ) ) : y + ay, : y + ay b [],,, [ ] au xx
2.2 ( y = y(x ( (x 0, y 0 y (x 0 (y 0 = y(x 0 y = y(x ( y (x 0 = F (x 0, y(x 0 = F (x 0, y 0 (x 0, y 0 ( (x 0, y 0 F (x 0, y 0 xy (x, y (, F (x, y ( (
(. x y y x f y = f(x y x y = y(x y x y dx = d dx y(x = y (x = f (x y = y(x x ( (differential equation ( + y 2 dx + xy = 0 dx = xy + y 2 2 2 x y 2 F (x, y = xy + y 2 y = y(x x x xy(x = F (x, y(x + y(x 2
CALCULUS II (Hiroshi SUZUKI ) f(x, y) A(a, b) 1. P (x, y) A(a, b) A(a, b) f(x, y) c f(x, y) A(a, b) c f(x, y) c f(x, y) c (x a, y b)
CALCULUS II (Hiroshi SUZUKI ) 16 1 1 1.1 1.1 f(x, y) A(a, b) 1. P (x, y) A(a, b) A(a, b) f(x, y) c f(x, y) A(a, b) c f(x, y) c f(x, y) c (x a, y b) lim f(x, y) = lim f(x, y) = lim f(x, y) = c. x a, y b
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学習の手順
NAVI 2 MAP 3 ABCD EFGH D F ABCD EFGH CD EH A ABC A BC AD ABC DBA BC//DE x 4 a //b // c x BC//DE EC AD//EF//BC x y AD DB AE EC DE//BC 5 D E AB AC BC 12cm DE 10 AP=PB=BR AQ=CQ BS CS 11 ABCD 1 C AB M BD P
０４年度LS民法Ⅰ教材改訂版.PDF
?? A AB A B C AB A B A B A B A A B A 98 A B A B A B A B B A A B AB AB A B A BB A B A B A B A B A B A AB A B B A B AB A A C AB A C A A B A B B A B A B B A B A B B A B A B A B A B A B A B A B
(1) θ a = 5(cm) θ c = 4(cm) b = 3(cm) (2) ABC A A BC AD 10cm BC B D C 99 (1) A B 10m O AOB 37 sin 37 = cos 37 = tan 37
4. 98 () θ a = 5(cm) θ c = 4(cm) b = (cm) () D 0cm 0 60 D 99 () 0m O O 7 sin 7 = 0.60 cos 7 = 0.799 tan 7 = 0.754 () xkm km R km 00 () θ cos θ = sin θ = () θ sin θ = 4 tan θ = () 0 < x < 90 tan x = 4 sin
(u(x)v(x)) = u (x)v(x) + u(x)v (x) ( ) u(x) = u (x)v(x) u(x)v (x) v(x) v(x) 2 y = g(t), t = f(x) y = g(f(x)) dy dx dy dx = dy dt dt dx., y, f, g y = f (g(x))g (x). ( (f(g(x)). ). [ ] y = e ax+b (a, b )
初心者にもできるアメブロカスタマイズ新2016.pages
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II 2 3.,, A(B + C) = AB + AC, (A + B)C = AC + BC. 4. m m A, m m B,, m m B, AB = BA, A,, I. 5. m m A, m n B, AB = B, A I E, 4 4 I, J, K
II. () 7 F 7 = { 0,, 2, 3, 4, 5, 6 }., F 7 a, b F 7, a b, F 7,. (a) a, b,,. (b) 7., 4 5 = 20 = 2 7 + 6, 4 5 = 6 F 7., F 7,., 0 a F 7, ab = F 7 b F 7. (2) 7, 6 F 6 = { 0,, 2, 3, 4, 5 },,., F 6., 0 0 a F
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1.2 y + P (x)y + Q(x)y = 0 (1) y 1 (x), y 2 (x) y 1 (x), y 2 (x) (1) y(x) c 1, c 2 y(x) = c 1 y 1 (x) + c 2 y 2 (x) 3 y 1 (x) y 1 (x) e R P (x)dx y 2
1 1.1 R(x) = 0 y + P (x)y + Q(x)y = R(x)...(1) y + P (x)y + Q(x)y = 0...(2) 1 2 u(x) v(x) c 1 u(x)+ c 2 v(x) = 0 c 1 = c 2 = 0 c 1 = c 2 = 0 2 0 2 u(x) v(x) u(x) u (x) W (u, v)(x) = v(x) v (x) 0 1 1.2
21 2 26 i 1 1 1.1............................ 1 1.2............................ 3 2 9 2.1................... 9 2.2.......... 9 2.3................... 11 2.4....................... 12 3 15 3.1..........
1 1 sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω 1 ω α V T m T m 1 100Hz m 2 36km 500Hz. 36km 1
sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω ω α 3 3 2 2V 3 33+.6T m T 5 34m Hz. 34 3.4m 2 36km 5Hz. 36km m 34 m 5 34 + m 5 33 5 =.66m 34m 34 x =.66 55Hz, 35 5 =.7 485.7Hz 2 V 5Hz.5V.5V V
1/1 lim f(x, y) (x,y) (a,b) ( ) ( ) lim limf(x, y) lim lim f(x, y) x a y b y b x a ( ) ( ) xy x lim lim lim lim x y x y x + y y x x + y x x lim x x 1
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3 n nc k+ k + 3 () n C r n C n r nc r C r + C r ( r n ) () n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (4) n C n n C + n C + n C + + n C n (5) k k n C k n C k (6) n C + nc
x = a 1 f (a r, a + r) f(a) r a f f(a) 2 2. (a, b) 2 f (a, b) r f(a, b) r (a, b) f f(a, b)
2011 I 2 II III 17, 18, 19 7 7 1 2 2 2 1 2 1 1 1.1.............................. 2 1.2 : 1.................... 4 1.2.1 2............................... 5 1.3 : 2.................... 5 1.3.1 2.....................................
(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y
![(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y](/thumbs/101/151465237.jpg "(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y")
(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = a c b d (a c, b d) P = (a, b) O P a p = b P = (a, b) p = a b R 2 { } R 2 x = x, y R y 2 a p =, c q = b d p + a + c q = b + d q p P q a p = c R c b