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 P S W K 1-31
2-1 2-2
2-3 2-4
2-5 2-6
2-7 2-8
2-9 2-10
2-11 2-12
2-13 2-14
2-15 2-16 H H
H 2-17 2-18
2-19 2-20
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 2-21 2-22
2-23 2-24 MEMO
MEMO 2-25
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 0 0 2 2 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 2 2 2 I y 1 (Ix I y ) 1 (Ix I y ) 2 4I xy 2 2 2 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 ) =0.0491 (d 4 d 14 ) ba 3 4 d 2 d 1 2 4 0.055r 4 0.2643r y 1 =0.2234r 0.2146r 2 0.0075r 4 0.187r y 2 =0.7766r a 2 (BH 3 bh 3 ) BH 3 bh 3 64 16(BHbh) 32 d 4 d 1 4 d =0.0982 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 =0.03357r 3 Z 2 =0.00966r 3 3-1 3-2
x h h1 A y 0 c b1 b y0 y0 x I x bh bhb 1 h 3 3 h b 1 h 1 1 2 12 i x bh 3 b 1 h 1 3 12(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 3 1+ 2 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 1 3 12(dd 1 ) d 2 2 0.289 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 2 4 3 Q rt max Q r 2 1 1 1 2 2y 1 h 3 2 Q A (y 10) 2 Q y y 1 2 1 4 1 a 2 a a 9 Q Q max 8 a 1.125 2 A 1 2 (y 1 e a) 4 8 2 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 2 2 1 2y 1 (r 2 2 y 12 )(r 2 1 y 12 ) 4 max 3 3 2 9 8 4 3 2 4(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 4 1+ 2 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 2 1 2 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 2 2 2 b 1 h 1 (b 2 h 3 2 b 1 h 13 ) (b 2b 1 ) 3Q 2 3-3 3-4
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 3 3 4 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 0.4292R 2 (H2T f0.4467r) 1 1 B 2 2 T f (H2T f )T 2 4 w 0.4292R 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 1 0 0 0 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 2 3 3 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 2 3 3 (b 1 b 2 ) (t 1 b) 3 (t 3 h) 3 144 36 h 2 3 3 t 1 b 1 t 2 b 2 = 12 3 3 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 3 3 1 3 (b 1b 2 ) 3 3 (bt 1 ht 3 ) 3 3 3 b 1 t 1 b 2 t 2 ht 3 3 3 3 2ht 1 bt 3 3 3-5 3-6
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 23 648 19 384 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 5 648 1 96 P 3 EI P 3 EI A w B w R AR B 2 w 2 M 0 8 max 5 384 w 4 EI w R AR B 2 w 2 C AC B 12 max 1 384 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 2 0 12 w 2 w M 0 (3 2 4a 2 ) 24 wb C 48EI b 2 b 3 (2 b) } 2 4 16 max0.00652 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) 2 2 3 (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) 8 2 2 (2ab) 1 3 b 2 (2 6c3b)} C wb B {(2ab) 8 2 2 (b2c) 1 3 b 2 (2 6a3b)} w C 2 w A, C 2 30 B 20 M max0.0215 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 max0.00131 (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 7 1024 w 4 EI R AR B 4 w 17 C AC B 384 7 M C w 2 384 w 2 max w 4 768EI A w C B /6 /6 R AR B 4 w 7w M 2 C 108 max 259 38880 w 4 EI R AR B 4 w 37 C AC B w 2 864 19 M C w 2 864 max 407 311040 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 ) ) 3-7 3-8
R M max R M max A A x w C B x P P D B E C 2 2 3 R AR C 8 5 R B w 4 5 R A P 16 5 R C P 16 11 R B P 8 w 1 M B 8 9 M D 128 3 (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 2 2 1 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 16 49 M D 512 7 (x ) 16 w 2 w 2 7 D G P 3 486 7w 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 6 2 1 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 2 1 8(1) 1 (w 1 1 2 w 2 2 2 ) 1 M B 16 (w 1w 2 ) 1 M B 8(1) (w 1 1 2 w 2 2 2 ) 2 1 D 768EI 1 E 768EI (BC ) (7w 13w 2 ) 4 (7w 23w 1 ) 4 5w 2 2 4 2 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 max0.0298 (x0.4474 ) 1 M B 15 w 2 M max0.0423 w 2 w 2 (x0.329 ) 7 M B w 120 2 w 4 max0.00541 EI (x0.4215 ) w max0.002385 4 EI (x0.4472 ) w 4 max0.003045 EI (x0.402 ) I 2 1 I1 2 R C w 2 2 2 1 8(1) 2 (w 1 1 2 w 2 2 2 ) 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 16 11 R B P 16 5 M C P 32 3 M B P 16 P 3 max0.00932 EI (x0.4472 ) 3-9 3-10
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 2 64 8h5f 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 ) 3-11 3-12
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 } 3k1 3-13 3-14
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 2 12 1 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 24 12 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 6k1 3-15 3-16
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 3-17 3-18
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 0.10 0.09 0.08 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 ) 0.07 0.06 0.05 0.04 0.03 0.02 0.01 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 x1 0.04 0.03 0.02 0.01 (wl x 4 /Et 3 ) 0.6 0.5 0.4 0.3 0.2 0.1 Q (wl x ) K 1 m m 2 K 2 ab n= K n m b 2 1 1 = 1 K n K 1 K 2 b 2 0 0 1.0 1.5 2.0 2.5 3.0 l y l x 0 K 2 m 1 K 1 2 1 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 3-19 3-20
0.50 0.45 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 y1 0.20 0.19 0.18 0.17 0.16 w Mx2 Mx3 My2 Mx1 l y w My2 Mx2 w Mx1 l y 0.35 l x l x M x1 0.15 w My1 My1 My3 0.30 0.14 l x l x 0.28 0.30 1.2 3.0 0.13 0.26 0.12 0.24 0.25 1.0 2.5 0.11 0.22 M (wl x 2 ) 0.20 0.15 0.8 0.6 (wl x 4 /Et 3 ) 2.0 1.5 Q (wl x ) M (wlx 2 ) 0.10 0.09 0.08 0.07 Mx1 My1 My3 max. w 0.20 0.18 0.16 0.14 (wl x 4 /Et 3 ) 0.10 M x1 M y1 Q x1 Q y1 M y2 M y2max 0.4 1.0 0.06 0.05 Mx3 max. 0.12 0.10 0.05 Q x1 0.2 0.5 0.04 My1 My3 max. 0.08 M x2max M x2 Q y1 M y2max 0 2.0 1.5 1.0 1.5 2.0 2.5 3.0 3.5 0 4.0 l y l y l x l x 0 0.03 0.02 0.01 My2 max. Mx1 My1 My2 max. Mx2 max. 0.06 0.04 0.02 Mx2 max. ww 0 0 2.0 w max. 1.0 2.0 3.0 4.0 l y /lx l y /lx 3-21 3-22
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 0.12 0.12 Mx1 0.10 M x1 0.10 1.0 M (wl x 2 ) 0.08 0.06 M y1 Q x1 M x1 M xmax M ymax M y1 Q x1 Q y1 0.08 0.06 (wl x 4 /Et 3 ) 0.8 0.6 Q (wl x ) Mx1 max. My1 My1 0.04 0.02 M x2 M ymax Q y1 Q x3 M x2 Q x3 M y2 0.04 0.02 0.4 0.2 M wlx Mx2 Mx2 max. Mx2 w (wl x 4 /Et 3 ) M y2 0 0 2.0 1.5 1.0 1.5 2.0 l y l y 0 w My2 max. l x l x My2 max. My2 My2 l y /lx l y /lx 3-23 3-24
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 x1 0.40 1.6 Q y M y l x 0.35 1.4 0.30 1.2 M wl x M x M y Q x (wl x 4 /Et 3 ) Q wl x M (wl x 2 ) 0.25 0.20 w M y2 w M x2 M x1 l y 1.0 0.8 (wl x 4 /Et 3 ) Q y,q y Q x M x 0.15 M y1 l x 0.6 M y 0.10 0.4 M y 0.05 M y2max 0.2 l y l x 0 1.0 1.5 2.0 2.5 l y 3.0 3.5 4.0 l x 3-25 3-26 M x2max
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 0.12 0.12 0.12 M x2 0.12 0.6 Q y1 M (wl x 2 ) 0.10 0.08 0.06 M x1 Q x1 Q y1 M y1 M x2 0.10 0.08 0.06 (wl x 4 /Et 3 ) 1.0 0.8 0.6 Q (wl x ) M (wl x 2 ) 0.10 0.08 0.06 Q x1 0.10 0.08 0.06 (wl x 4 /Et 3 ) 0.5 0.4 0.3 Q (wl x ) 0.04 M x2 Q x1 Q x1 0.04 0.4 0.04 0.04 0.2 0.02 M y2max M y2 0.02 0.2 0.02 M y2max 0.02 0.1 M y2 0 0 2.0 1.5 l y 1.0 l y 1.5 2.0 l x l x 0 0 0 1 2 3 4 l y l x M y2 0 3-27 3-28
3-29 3-30 l lk l l l l l l l l 2l l lk lk lk lk lk lk
3-31 3-32 MEMO
MEMO 3-33
4-1 4-2
4-3 4-4
4-5 4-6
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....... 4-7 4-8
4-9 4-10
4-11 4-12 E )B E> D + 2.2 + 1.4 + 1.2 + 1.0 + 2.0 + 1.8 + 1.6 + 2.3
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 1.2 4-13 4-14
MEMO 4-15
5-1 5-2 4.54 5.11 5.68 6.25 6.82 6.95 8.83 6.45 7.41 7.95 8.11 7.00 7.98 8.52 8.66 9.56 FB FB FC FB FB FB FC FB FB FC FB FB FB 75.6 134 216 331 472 498 628 713 794 860 912 1,130 1,250 1,350 1,420 1,520 26.7 46.9 75.1 112 160 167 218 233 269 292 304 365 417 450 466 514 21.59 30.00 39.65 51.43 63.53 71.53 83.69 81.31 83.95 91.43 103.9 106.3 109.5 118.5 133.5 133.5
5-3 5-4 7.67 9.20 9.35 10.8 11.0 12.4 8.83 10.3 10.5 11.9 12.2 13.5 15.6 18.9 25.9 34.5 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 12,000 534 646 669 776 808 909 809 951 985 1,120 1,170 1,300 1,530 1,930 2,900 4,370 133.3 144.0 164.7 171.9 196.4 200.0 178.5 186.8 214.4 218.7 250.7 254.9 295.4 360.7 528.6 770.1
5-5 5-6 3.45 3.95 4.48 4.64 5.36 5.05 5.85 6.16 6.99 5.87 6.97 8.08 5.30 6.29 7.29 FB FB FB FB FB FB FB FB FB 135 271 495 756 878 1,070 1,250 1,700 1,940 2,090 2,490 2,920 2,420 2,820 3,310 30.1 67.6 112 160 189 248 292 417 480 447 540 639 450 540 639 26.35 38.11 55.49 71.05 82.03 86.17 99.53 117.4 133.3 131.6 153.9 180.8 141.2 159.2 187.1
5-7 5-8 4.98 5.80 6.64 4.93 5.84 6.78 4.73 5.54 6.37 7.17 4.39 5.30 6.40 6.94 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 11,700 511 601 700 601 721 853 661 781 914 1,040 687 842 1,040 1,140 169.2 187.2 217.1 207.5 231.5 269.7 233.8 257.8 303.7 336.0 253.6 299.3 360.1 387.4
5-9 5-10 1.99 2.34 1.99 2.27 2.27 2.56 2.27 2.56 2.57 3.12 3.67 3.14 3.69 4.24 FC FB FC FC FB FB FB 88.8 138 156 181 278 317 424 481 638 771 906 999 1,170 1,350 13.2 21.7 22.9 26.7 41.1 47.0 59.3 67.7 91.0 112 134 145 174 202 17.85 22.90 22.69 26.67 31.99 36.97 40.80 46.78 51.59 62.91 73.45 70.54 83.37 95.41
5-11 5-12 3.04 3.53 4.26 3.19 3.64 4.29 2.85 3.22 3.77 4.31 FC FC FC FB 1,260 1,460 1,750 1,650 1,870 2,190 2,240 2,520 2,910 3,310 159 187 229 185 214 257 199 227 270 314 81.98 95.43 112.0 98.35 112.3 129.3 111.7 130.3 149.8 168.0
5-13 5-14
5-15 5-16 3.41 4.54 5.40 6.25 4.54 5.40 6.25 3.03 4.04 4.80 5.55 4.04 4.80 5.55 6.31 3.79 5.05 6.00 6.94 5.05 6.00 6.94 7.89 8.84 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 3,070 160 214 254 294 214 254 294 160 214 254 294 214 254 294 334 250 334 396 459 334 396 459 521 584 83.29 98.57 110.00 121.50 109.6 120.9 132.20 87.79 103.1 114.5 126.0 115.6 126.9 138.2 149.5 99.79 119.1 133.5 148.0 131.6 145.9 160.2 174.5 188.7
5-17 5-18 3.41 4.54 5.40 6.25 4.54 5.40 6.25 7.10 7.95 FB 1,780 2,210 2,530 2,830 2,320 2,620 2,920 3,220 3,500 250 334 396 459 334 396 459 521 584 102.6 122.6 137.6 152.5 137.6 151.9 166.2 180.5 194.7 2.73 3.64 4.32 5.00 3.64 4.32 5.00 5.68 1,500 1,840 2,090 2,330 1,940 2,180 2,420 2,650 160 214 254 294 214 254 294 334 90.63 106.6 118.6 130.5 121.6 132.9 144.2 155.5
5-19 5-20 5.45 6.48 5.45 6.48 7.50 8.52 9.54 6.48 7.50 8.52 9.54 6.48 7.50 8.52 9.54 10.9 2.48 3.31 3.92 4.54 3.31 3.92 4.54 5.16 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 2,990 480 570 481 571 661 751 841 571 661 751 841 571 661 751 841 961 160 214 254 294 214 254 294 334 138.6 156.6 153.6 170.9 188.2 205.5 222.7 180.1 197.3 214.5 231.6 189.4 206.4 223.5 240.5 236.2 90.63 106.6 118.6 130.6 127.6 138.9 150.2 161.5
5-21 5-22 4.96 5.89 4.96 5.89 6.82 7.75 8.68 5.89 6.82 7.75 8.68 6.82 7.75 8.68 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 4,780 480 570 481 571 661 751 841 571 661 751 841 661 751 841 138.6 156.6 159.6 176.9 194.2 211.5 228.7 187.1 204.3 221.5 238.6 214.4 231.5 248.5 3.10 4.13 4.91 5.68 4.13 4.91 5.68 6.46 7.23 FB FB 2,010 2,490 2,840 3,180 2,610 2,960 3,290 3,620 3,940 250 334 396 459 334 397 459 522 584 102.6 122.6 137.6 152.6 143.6 157.9 172.2 186.5 200.7
5-23 5-24 2.27 3.03 3.60 4.17 3.03 3.60 4.17 4.73 5.30 3.79 4.50 3.79 4.50 5.21 5.92 6.63 4.50 5.21 5.92 6.63 5.21 5.92 6.63 7.57 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 5,020 160 214 254 294 214 254 294 334 374 334 396 334 397 459 522 584 397 459 522 584 460 522 585 668 90.63 106.6 118.6 130.6 133.6 144.9 156.2 167.5 178.7 122.6 137.6 149.6 163.9 178.2 192.5 206.7 175.1 189.3 203.5 217.6 200.4 214.5 228.5 247.2
5-25 5-26 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 5.40 4.54 5.40 6.25 4.14 7.10 4.70 7.95 5.40 6.25 4.14 7.10 4.70 7.95 5.26 9.09 6.25 4.14 7.10 4.70 7.95 5.26 9.09 6.02 2.10 2.80 3.32 3.85 2.80 3.32 3.85 4.37 4.89 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 4,020 570 481 571 661 661 751 751 841 571 661 661 751 751 841 841 961 661 661 751 751 841 841 961 961 160 214 254 294 214 254 294 334 374 156.6 165.6 182.9 200.2 192.7 217.5 210.7 234.7 194.1 211.3 211.3 228.5 228.5 245.6 245.6 268.5 222.4 222.4 239.5 239.5 256.5 256.5 279.2 279.2 90.63 106.6 118.6 130.6 137.6 149.6 161.6 173.5 184.7
5-27 5-28 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 4.20 4.98 5.77 3.82 6.55 4.34 4.98 5.77 3.82 6.55 4.34 7.34 4.86 5.77 3.82 6.55 4.34 7.34 4.86 8.39 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 6,510 481 571 661 661 751 751 571 661 661 751 751 841 841 661 661 751 751 841 841 961 169.6 187.6 205.6 192.7 223.5 210.7 201,1 218.3 213.5 235.5 231.5 252.6 249.5 230.4 230.4 247.5 247.5 264.5 264.5 287.2 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 5,570 334 334 397 459 522 584 397 460 522 585 460 523 585 668 122.6 153.6 168.6 183.6 198.5 212.7 182.1 196.3 210.5 224.6 208.4 222.5 236.5 255.2 3.50 3.50 4.15 4.81 5.46 6.12 4.15 4.81 5.46 6.12 4.81 5.46 6.12 6.99
5-29 5-30 1.95 2.60 3.08 3.57 2.60 3.08 3.57 4.06 4.54 3.25 3.85 3.25 3.85 4.46 5.07 3.85 4.46 5.07 5.68 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 5,490 161 214 254 294 215 255 295 335 375 334 396 334 397 459 522 397 460 522 585 92.86 108.9 120.9 132.9 140.1 152.1 164.1 176.1 188.1 124.9 139.9 156.1 171.1 186.1 201.1 190.5 204.6 218.8 232.9
5-31 5-32 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 4.63 5.36 3.55 6.09 4.03 6.82 4.51 4.63 5.36 3.55 6.09 4.03 6.82 4.51 7.79 5.36 3.55 6.09 4.03 6.82 4.51 7.79 5.16 8.76 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 7,830 571 661 661 751 751 841 841 571 661 661 751 751 841 841 961 662 662 752 752 842 842 962 962 1,080 190.1 208.1 195.3 226.1 213.3 244.1 231.3 209.5 226.6 216.3 243.8 234.3 260.9 252.3 283.8 239.7 239.7 256.8 256.8 273.8 273.8 296.5 296.5 319.3 HBL -H355 HBL -H355 HBL -H355 6.25 7.10 6.25 7.10 7.95 9.09 6.02 7.10 7.95 9.09 6.02 10.2 6.77 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 8,960 899 1,020 899 1,020 1,140 1,310 1,310 1,020 1,140 1,310 1,310 1,470 1,470 230.1 251.1 248.6 268.8 288.9 315.8 308.3 281.8 301.8 328.5 328.5 355.3 355.3
5-33 5-34 3.03 3.60 4.17 4.73 3.60 4.17 4.73 5.30 3,950 4,440 4,920 5,390 4,600 5,070 5,540 5,990 334 397 459 522 397 460 522 585 156.1 171.1 186.1 201.1 196.8 211.6 225.8 239.9 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 4.32 5.00 3.31 5.68 3.76 6.36 5.00 3.31 5.68 3.76 6.36 4.21 7.27 5.83 6.63 7.42 8.48 5.62 6.63 7.42 8.48 5.62 9.54 6.32 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 9,760 571 661 661 751 751 841 662 662 752 752 842 842 962 899 1,020 1,140 1,310 1,310 1,020 1,140 1,310 1,310 1,470 1,470 215.8 233.6 216.3 250.8 234.3 267.9 247.7 240.4 264.8 258.4 281.8 276.4 304.5 255.6 275.8 295.9 322.8 308.3 289.8 309.8 336.5 332.4 363.3 360.4
5-35 5-36 3.91 4.44 4.97 3.91 4.44 4.97 5.68 4.69 3.10 5.33 3.53 5.96 3.95 6.82 4.51 4.69 3.10 5.33 3.53 5.96 3.95 6.82 4.51 7.67 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 9,260 460 523 585 461 523 586 669 661 661 751 751 841 841 961 961 662 662 752 752 842 842 962 962 1,080 211.8 226.8 241.8 233.7 247.8 261.8 280.5 233.8 216.3 251.8 234.3 269.8 252.3 293.8 276.3 255.7 240.4 272.8 258.4 289.8 276.4 312.5 300.4 335.3 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-37 5-38 6.21 6.96 6.21 6.96 7.95 5.26 8.95 5.92 6.21 6.96 7.95 5.26 8.95 5.92 9.94 6.58 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 1,640 276.8 297.8 297.8 317.8 344.5 332.4 371.3 360.4 320.3 340.1 366.6 366.6 393.1 393.1 419.6 419.6 7.10 7.95 7.10 7.95 9.09 6.02 10.2 6.77 7.95 9.09 6.02 10.2 6.77 11.4 7.52 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 2,140 301.8 325.8 322.8 345.8 376.5 364.4 407.3 396.4 368.1 398.6 398.6 429.1 429.1 459.6 459.6 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-39 5-40 3.68 4.18 4.68 3.68 4.18 4.68 5.35 5,980 6,510 7,040 6,180 6,720 7,240 7,920 460 523 585 461 523 586 669 211.8 226.8 241.8 241.3 255.8 269.8 288.5 4.41 5.01 5.61 4.41 5.01 5.61 6.42 5.85 6.55 7.49 4.96 6.55 7.49 4.96 8.42 5.57 9.36 6.19 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 12,600 661 751 841 662 752 842 962 1,020 1,150 1,310 1,310 1,150 1,310 1,310 1,470 1,470 1,640 1,640 233.8 251.8 269.8 263.3 280.8 297.8 320.5 305.8 325.8 352.5 332.4 349.6 376.1 374.4 402.6 402.4 429.1 429.1 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-41 5-42 4.17 4.73 3.60 4.17 4.73 5.30 6.06 4.17 4.73 5.30 6.06 6.82 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 11,100 662 752 572 662 752 842 962 664 754 844 964 1,080 233.8 251.8 245.3 263.3 281.3 299.3 323.3 297.4 314.3 331.1 353.6 376.1 3.00 3.47 3.95 3.00 3.47 3.95 4.42 FB FB FB 5,870 6,450 7,020 6,110 6,680 7,250 7,810 398 460 523 399 461 524 586 196.8 211.8 226.8 226.3 241.3 256.3 271.3 6.68 7.49 8.55 5.66 7.49 8.55 5.66 9.62 6.37 10.7 7.08 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 2,140 330.8 353.8 384.5 364.4 377.6 408.1 406.4 438.6 438.4 469.1 469.1 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-43 5-44 6.31 7.07 8.08 5.35 7.07 8.08 5.35 9.09 6.02 10.1 6.69 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 2,140 331.3 355.3 387.3 364.4 387.1 417.6 406.4 448.1 438.4 478.6 470.4 HBL -H355 HBL -H355 HBL -H355 HBL -H355 3.29 3.74 4.19 4.78 3.74 4.19 4.78 5.38 5.98 FC FC FC FC FC 7,190 7,790 8,390 9,160 8,180 8,760 9,530 10,300 11,000 461 524 586 669 525 588 671 754 838 241.3 256.3 271.3 291.3 298.8 312.6 331.1 349.6 368.1 5.52 6.19 7.07 4.68 5.52 6.19 7.07 4.68 7.95 5.26 8.84 5.85 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 1,640 306.3 327.3 355.3 332.4 339.3 359.1 385.6 374.4 412.1 402.4 438.6 430.4 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-45 5-46 4.60 5.23 5.86 6.70 4.43 5.23 5.86 6.70 4.43 7.53 4.99 8.37 5.54 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 14,500 900 1,020 1,150 1,310 1,310 1,020 1,150 1,310 1,310 1,470 1,470 1,640 1,640 285.3 306.3 327.3 355.3 332.4 348.8 368.6 395.1 374.4 421.6 402.4 448.1 430.4 HBL -H355 HBL -H355 HBL -H355 HBL -H355 3.95 4.48 5.02 5.74 4.48 5.02 5.74 3.80 6.46 4.28 7.18 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 12,800 662 752 842 962 754 844 964 964 1,080 1,080 1,200 263.3 281.3 299.3 323.3 323.8 340.6 363.1 342.4 385.6 366.4 408.1 HBL -H355 HBL -H355
5-47 5-48 3.75 4.26 4.77 5.45 4.26 4.77 5.45 3.61 6.14 4.06 6.82 8,770 9,540 10,300 11,300 9,970 10,700 11,700 11,700 12,700 12,700 13,600 662 752 842 962 754 844 964 964 1,080 1,080 1,200 263.3 281.3 299.3 323.3 332.7 350.1 372.6 342.4 395.1 366.4 417.6 FB FB HBL -H355 HBL -H355 5.26 5.98 6.70 7.65 5.07 5.98 6.70 7.65 5.07 8.61 5.7 9.57 6.33 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 2,140 307.3 331.3 355.3 387.3 364.4 373.8 396.6 427.1 406.4 457.6 438.4 488.1 470.4 3.12 3.55 3.98 4.54 3.55 3.98 4.54 5.11 5.68 7,720 8,350 8,980 9,810 8,780 9,400 10,200 11,000 11,800 461 524 586 670 526 588 671 755 838 241.3 256.3 271.3 291.3 307.7 322.1 340.6 359.1 377.6 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-49 5-50 4.37 4.97 5.57 6.36 4.21 4.97 5.57 6.36 4.21 7.16 4.74 7.95 5.26 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 15,500 900 1,020 1,150 1,310 1,310 1,020 1,150 1,310 1,310 1,470 1,470 1,640 1,640 285.3 306.3 327.3 355.3 332.4 357.7 378.1 404.6 374.4 431.1 402.4 457.6 430.4 5.00 5.68 6.36 7.27 4.81 5.68 6.36 7.27 4.81 8.18 5.42 9.09 6.02 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 2,140 307.3 331.3 355.3 387.3 364.4 382.7 406.1 436.6 406.4 467.1 438.4 497.6 470.4 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355 HBL -H355
5-51 5-52
5-53 5-54
5-55 5-56
5-57 5-58
5-59 5-60
5-61 5-62
5-63 5-64
5-65 5-66
5-67 5-68
5-69 5-70
5-71 5-72
5-73 5-74
5-75 5-76
5-77 5-78
5-79 5-80
5-81 5-82
5-83 5-84
5-85 5-86
5-87 5-88
5-89 5-90
5-91 5-92
5-93 5-94
5-95 5-96
5-97 5-98 O O N N J J
5-99 5-100
J 5-101 5-102
5-103 5-104 7.85kg/m 2
MEMO 5-105
6-1 6-2
6-3 6-4
6-5 6-6
6-7 6-8
6-9 6-10
6-11 6-12
6-13 6-14
6-15 6-16
6-17 6-18
6-19 6-20
6-21 6-22
6-23 6-24
6-25 6-26
6-27 6-28
6-29 6-30
6-31 6-32
6-33 6-34
6-35 6-36
6-37 6-38
6-39 6-40
6-41 6-42
6-43 6-44
6-45 6-46
6-47 6-48
6-49 6-50
6-51 6-52
6-53 6-54
6-55 6-56
6-57 6-58
6-59 6-60
6-61 6-62
6-63 6-64
6-65 6-66
6-67 6-68
6-69 6-70
6-71 6-72
6-73 6-74
6-75 6-76
6-77 6-78
6-79 6-80
6-81 6-82
6-83 6-84
6-85 6-86
6-87 6-88
6-89 6-90
6-91 6-92
6-93 6-94
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 -100505.0 7.5-125656.0 8.0-150756.510.0-150759.012.5-200908.013.5 2-100505.0 7.5 2-125656.0 8.0 2-150756.510.0 2-150759.012.5 2-200908.013.5 B e p p p p e 1 1 2 1 1 2 G 5-M20 6-M20 8-M20 9-M20 10-M20 5-M20 6-M20 8-M20 10-M20 12-M20 9 9 9 9 12 12 16 16 16 19 B 130 180 240 300 300 205 220 305 380 410 8 8 8 8 10 10 13 13 13 16 161 229 295 382 394 288 327 440 557 565 177 245 311 398 414 308 353 466 583 597 166.1 248.8 334.7 434.5 540.0 508.5 742.1 1022.0 1309.8 1618.2 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-M22 115 125 140 150 165 175 200 200 225 FB-6 25 40 PL-6 28 FB-6 25 45 PL-6 28 FB-9 32.5 50 PL-9 34 FB-9 32.5 50 PL-9 34 FB-9 37.5 55 PL-9 38 FB-9 37.5 50 PL-9 38 FB-9 45 50 PL-9 45 FB-12 45 55 PL-12 45 FB-12 50 55 PL-12 50 52 59 66 66 73 70 72 83 90 50 55 60 75 85 85 90 95 110 6 9 9 9 12 12 12 12 12 60 70 70 80 80 90 90 100 110 6 8 8 8 10 10 10 10 10 61 80 80 97 100 112 145 177 217 43 56 56 65 70 76 93 109 129 55 72 72 81 90 96 113 129 149 28.7 38.6 48.0 60.6 74.7 87.7 114 139 172 6-95 6-96
B B e p p e e p p p p e FB- 65 6 FB- 75 6 FB- 65 9 FB- 75 9 FB- 90 9 FB-100 9 FB- 90 12 FB-100 12 FB- 90 16 FB-100 16 2-M16 2-M16 3-M16 3-M16 3-M20 3-M20 3-M20 4-M20 4-M20 5-M20 6 6 9 9 9 9 12 12 12 12 65 75 65 75 90 100 90 100 115 130 6 6 8 8 8 8 10 10 10 10 117 142 131 159 190 218 202 232 270 309 71 83 82 96 111 125 121 136 155 175 83 95 98 112 127 141 141 156 175 195 66.3 80.4 99.4 120.6 143.8 165.0 191.8 220.0 255.7 293.3 2L- 65 65 6 2L- 75 75 6 2L- 75 75 9 2L- 75 75 12 2L- 90 90 7 2L- 90 90 10 2L- 90 90 13 2L-100 100 7 2L-100 100 10 2L-100 100 13 5-M16 5-M16 5-M20 7-M16 5-M20 5-M20 7-M20 5-M20 6-M20 8-M20 9 9 12 12 12 12 12 12 12 12 165 190 205 260 205 270 340 225 305 385 8 8 10 10 10 10 10 10 10 10 339 474 531 667 529 733 933 598 832 1062 216 253 286 354 285 387 487 319 436 551 232 269 306 374 305 407 507 339 456 571 303.0 359.4 503.4 633.2 502.0 695.6 886.0 567.8 789.6 1008.2 e p p p p e B e p p p p e B L- 65 65 6 L- 75 75 6 L- 75 75 9 L- 75 75 12 L- 90 90 7 L- 90 90 10 L- 90 90 13 L-100 100 7 L-100 100 10 L-100 100 13 5-M16 5-M16 5-M16 6-M16 5-M20 5-M20 6-M20 4-M20 5-M20 6-M20 9 9 9 9 9 9 12 9 9 12 90 95 125 160 125 165 160 135 185 180 8 8 8 8 8 8 10 8 8 10 170 202 291 362 282 389 395 303 443 448 101 117 162 197 157 211 218 168 238 244 117 133 178 213 173 227 238 184 254 264 105.6 126.8 180.8 232.6 176.9 242.0 305.5 201.6 277.3 351.3 2L- 65 65 6 2L- 75 75 6 2L- 75 75 9 2L- 75 75 12 2L- 90 90 7 2L- 90 90 10 2L- 90 90 13 2L-100 100 7 2L-100 100 10 2L-100 100 13 5 2-M16 5 2-M16 5 2-M16 6 2-M16 5 2-M20 5 2-M20 6 2-M20 4 2-M20 5 2-M20 6 2-M20 9 9 9 9 9 9 12 9 9 12 160 185 250 315 250 330 320 270 370 355 8 8 8 8 8 8 10 8 8 10 339 404 581 723 564 777 789 605 885 896 186 218 307 378 298 405 415 319 459 468 202 234 323 394 314 421 435 335 475 488 211.3 253.6 361.6 465.3 353.9 484.1 611.0 403.2 554.6 702.6 6-97 6-98
MEMO 6-99
7-1 7-2
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) 2 2 1 1 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) 2 2 1 l m tan 1 1 l tan 1 1 h h1 h1 M max l m 4 l 2 H e 4 0.3224H sin 4 H M max e 2 0.2079M 0 l m 2 3 l 4 2 hd/4ei 1/4 hd/4ei 1/4 7-3 7-4
7-5 7-6
7-7 7-8
7-9 7-10
7-11 7-12
7-13 7-14
7-15 7-16
7-17 7-18
MEMO 7-19
8-1 8-2 A A A-A,
8-3 8-4
, @,@ @, 8-5 8-6
8-7 8-8 @ @ @, @ @ @ @ @ @, @ @ @ @ @ @ @ @ @, @ @ @ @ @ @ @ @, @ @ @ @
8-9 8-10
8-11 8-12
8-13 8-14
8-15 8-16
8-17 8-18
8-19 8-20
8-21 8-22
2.7 L 3.4 L 8-23 8-24
8-25 8-26
8-27 8-28
8-29 8-30
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 8-31 8-32
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
8-35 8-36 A H x x Y Y B H x x Y Y B A H x x Y Y A B
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 8-37 8-38
8-39 8-40
8-41 8-42
8-43 8-44
8-45 8-46
8-47 8-48
8-49 8-50
8-51 8-52 l b d l B dc D
8-53 8-54 ABR400 ABM400 235 400 ABR490 ABM490 325 490 M16 M18 M20 M22 M24 M27 M30 M33 M36 M39 M42 M45 M48 14.54 16.20 18.20 20.20 21.85 24.85 27.51 30.51 33.17 36.17 38.83 41.83 44.48 166 206 260 320 375 485 594 731 864 1,030 1,180 1,370 1,550 157 192 245 303 353 459 561 694 817 976 1,120 1,310 1,470 39.0 48.4 61.1 75.2 88.1 114 140 172 203 242 277 295 333 21.3 26.0 33.2 41.1 47.9 62.4 76.2 94.1 111 132 152 163 182 36.3 44.3 56.6 69.9 81.4 106 129 161 189 225 259 303 339 M16 M18 M20 M22 M24 M27 M30 M33 M36 M39 M42 M45 M48 14.54 16.20 18.20 20.20 21.85 24.85 27.51 30.51 33.17 36.17 38.83 41.83 44.48 166 206 260 320 375 485 594 731 864 1,030 1,180 1,370 1,550 157 192 245 303 353 459 561 694 817 976 1,120 1,310 1,470 54.0 67.0 84.5 104 122 158 193 238 281 335 384 404 457 29.4 36.0 46.0 56.9 66.4 86.0 105 130 154 183 210 223 251 44.4 54.3 69.3 85.7 99.9 130 159 196 231 276 317 371 416
d t D LC d e x N M24 M27 M30 M33 M36 M39 452 573 707 855 1,020 1,190 384 496 621 761 865 1,030 90.2 117 146 179 203 242 106 135 166 201 240 280 52.1 67.5 84.3 103 117 140 88.9 114 143 176 200 238 Z x n c D e 2 a a t p t bd b M42 M45 1,390 1,590 1,210 1,340 260 288 299 342 150 166 279 309 p0.010 M48 M24 M27 1,810 452 573 1,540 384 496 331 125 161 389 147 186 191 72.2 93.0 356 109 140 x n /d 0 d p0.005 p0.003 p0.002 p0.001 p0.0005 M30 M33 M36 M39 707 855 1,020 1,190 621 761 865 1,030 202 247 281 335 230 278 332 387 117 143 162 193 176 215 245 292 x/d M42 1,390 1,210 357 410 206 342 M45 1,590 1,340 395 469 228 379 M48 1,810 1,540 454 534 262 436 M52 2,120 1,820 537 625 310 515 M56 2,460 2,140 631 726 364 606 M60 2,830 2,480 732 835 423 701 M64 3,220 2,850 841 950 486 807 M68 3,630 3,240 956 1,070 552 917 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 2,090 589 664 739 843 953 1,070 979 1,100 1,230 1,400 1,580 1,770 M100 7,850 6,990 2,060 2,320 1,190 1,980 8-55 8-56
8-57 8-58
8-59 8-60
8-61 8-62
8-63 8-64
8-65 8-66
8-67 8-68
8-69 8-70
8-71 8-72
8-73 8-74
8-75 8-76
8-77 8-78 MEMO
MEMO 8-79
-1-2
J2 A J1 A J1 J2 A J A J J A J A -3-4
-5-6
-7-8
-9-10
-11-12
-13-14 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 R0.25 0.025 2 2 R0.25 0.025 10 0.05 10 0.05 8 0.05 55 0.6 27.5 0.4 27.5 0.4 45 2 45 2
-15-16
-17-18
-19-20
MEMO MEMO -21-22
Cat.No.A1J-001-03 http://www.jfe-steel.co.jp 100-0011 2 2 3 TEL03(3597)3111X03(3597)4860 530-8353 1 6 2010 TEL 06(6342)0707 X 06(6342)0706 450-6427 28 1227 TEL 052(561)8612 X 052(561)3374 060-0002 4 1 14 TEL 011(251)2551 X 011(251)7130 980-0811 4 1 25 3 TEL 022(221)1691 X 022(221)1695 950-0087 1 3 1 4 TEL 025(241)9111 X 025(241)7443 930-00043 1 3 TEL 076(441)2056 X 076(441)2058 730-0036 4 21 7 TEL 082(245)9700 X 082(245)9611 760-0019 2 1 23 TEL 087(822)5100 X 087(822)5105 812-0025 1 3527 TEL 092(263)1651 X 092(263)1656 260-0028 313 5 TEL 043(238)8001 X 043(238)8008 231-0011 1 10 4 TEL 045(212)9860 X 045(212)9873 422-8061 1 3513 TEL 054(288)9910 X 054(288)9877 700-0821 1 8 45 18 TEL 086(224)1281 X 086(224)1285 900-0015 3 21 1 11 TEL 098(868)9295 X 098(868)5458 Copyright JFE Steel Corporation. All Rights Reserved. 1712R (1308) 1-1 SPa