Reference Formulas. sin sin sin
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1 RCH il Emitio Reeree 08b Reeree ormuls B C si si si ( ) ˆ b b 4 Q i i i p r d ( ) ˆ os W l t d Q i i si t r d mg d 4 g 9.8m m b s dv d w m I I i d I I r ˆ d ˆ d V N kgm V d s w N psi lb N m i k, 000 kip 000 lb π ( rdis ) 80 kn m 9 k G t p b m or e td I I S I S req b S vm d I d ksi kip i ultimte.s llowble i t v td m 000 mm T v J L VQ v ve v Ib V v m or retgle E V V L or I bem t d E web w z T (T ) L E B C T ( T ) si si si
2 RCH il Emitio Reeree 08b oetor r U V logitudi VQoeted re I VT Q l I p wh ph T m b m b T t p V ZICW kn R 0 W mm W t W V L TL b G TL b G T TL si m i 4t ti γ π R L L Le EI γ D D v w w t G L TL JG m m bit i ( ) d EI.4D KL D 6. L 05. (L or S or R ) EI π E e Le r L r m E Le r b b I.0 I z I m b b b b.0. r ISC SD: R R C E l e r C C e = rg =.67 (bedig) =.5 (bem sher) =.00 (bolt sher) =.00 (weld sher) =.50 (berig) =.67 (ompressio) l r.s. 5 u 0. : u 0. : Tt TL G b i t i b. D 6. (Lr or S or R) (L or 0. 5W). D. 0W L 0.5(L r or S or R) r E.S. Kl r C 8 Le r C 8 Kl r.s. Le r C
3 RCH il Emitio Reeree 08b CI-8: u s s b b d s 00 mi: s ( bwd), ot less th s ( bwd) R bd * d t (0.00) E s s bd 6 T, mi: s ( bwd ), ot less th s ( b d) ( t ) 0.75 (0.005 ) ( t ) 0.65 (0.005 ) =Cw(d-/)+C(d-h/) Cs = s ( s ) = T(d-/)+Cs(-d ) slb (<60 ksi): s 0.00b( t or h) oe-w: V b d two-w: V 4 b d G l slb (60 ksi): s 0.008b( t or h) V V V 075 d s v t w Vs.5 w EI l EI l b E 57, ( ) o g st st dh db 50 db () : l d 50 d b u E s w tied: spirl: # 6: l q et q q h ( ) et llowble s # 6: l u qu Vu u qu ( d)( b d) wp volume N ( d) ( b d) p N w 0.75 d d db db u u V BLq b o u m u o o resist S overturig Wood: C C C D.5 tbulted o o 5 0 V Bd 4 V b d 4 BL b d u qu u b b 0.85 p 0.65 K E 0. 8E E mi E le le S m horizotl resist d d b * C p C D C p K E = 0. sw, 0.48 glulm. 0 E mi Emi ( C )( Ct )( CT )( Ci ) b slidig E.5
4 RCH il Emitio Reeree 08b ISC-LRD: V u ult b u b 9 p i i Z Z p k Z S L. 76r toobig v( 0. 6w w ) v. 0 I req ' d Itril u L r g r ( N. 5k ) t (m ed) w w ( N 5k ) t (m iterior) w w R R R u u C m sor: pli: u 0 9 t g t t u e t Tl EXX L r limit E m E e r s Cm g o ll holes t B.0 4g ( ) e Z w p equivlet 8 E L r E 4.7 r e r = Bt r 0. : 8 r r.0 9 r r 0. : r r r.0 EI e u e L e U Ru ( 0. 6u v U bsu t 0. 6 gv U bsu t ) pli: v. 5 m 0 psi v b b( kd) m b s s m vm vs v =.0 v =.0 m whe /(Vd) 0.5 m whe /(Vd).0 5 m L bd m jk v V v vm v s m 0. vs 0. 5 Vd vs h t h/r m 0.65sts 40r b b h/r > 99.5 m 0.65sts e h/r 99 70r 0 h h 0.5 m h/r > 99 40r d 70r 0.5 m h 4
5 RCH il Emitio Reeree 08b Reeree Digrms + 75% + 5% - 75% - 5 5% Reeree Bem Digrms 5
6 RCH il Emitio Reeree 08b = w-r = w-r (w) (w) W = wl W = wl 6
7 il Emitio Reeree (w) RCH 7 08b
8 (w) W = wl RCH il Emitio Reeree 08b 8
9 RCH il Emitio Reeree 08b 9
10 RCH il Emitio Reeree 08b Reeree Digrms vilble Stregth o illet Welds per ih o weld (S) Weld Size (i.) E60XX (k/i.) E70XX (k/i.) ¼ ½ ¾ (ot osiderig irese i throt with submerged r weld proess) 0
11 RCH il Emitio Reeree 08b Reeree Digrms
12 RCH il Emitio Reeree 08b Reeree Digrms
13 RCH il Emitio Reeree 08b Reeree Digrms (tesile stri o 0.004)
14 RCH il Emitio Reeree 08b Reeree Digrms 4
15 RCH il Emitio Reeree 08b Reeree Digrms 0.8Emi E l ( = 0.8 sw, = 0.9 glulm) e d 5
16 RCH il Emitio Reeree 08b Reeree Digrms 0.8Emi E l ( = 0.8 sw, = 0.9 glulm) e d 6
17 RCH il Emitio Reeree 08b Reeree Digrms greter o w smller o 50 b s t v 50 b t w d d t w 0.75 b s v t 0.75 b w V b w d 0.75 (CI...) (V u V )s t d v t d Vu V NOTE: setio umbers re pre CI 8-4 7
18 RCH il Emitio Reeree 08b Reeree Geometr bout bottom let re = bh = b/ = h/ Trigle b I ' 6 b bout bottom h re = b h bh re = r d = 0 = 0 4 I I = 0.098r 4 = 4 r 8 re = r d = 0 8 = 4r I I = r 4 = r 4 re = r d 4 = 4r = 4r 6 re = = 0 = 0 b I = 6h 75 I = 4 h 5 re = = 0 4h = h 5 I = 7h 00 re = h I = h 80 = = h 4 0 8
v max for a rectangle
RCH il Emitio Reeree 05 0 0 0 C Reeree ormls ( ) B Bos ˆ B C Q i i si si si 4 i ( ) ˆ os p r d Q i i si W l t d t i r 4 d d d d g 9.8 m s mg d ˆ dv w d m d ˆ d V m V d w N N kgm m s N k, 000 psi l i π
v max for a rectangle
RCH il Emitio Reeree S06 0 0 0 C Reeree ormls si B Bos ( ) ˆ B C Q si si i i 4 i ( ) ˆ os p r d Q i i si W l t d t r 4 d d i d d g 9.8 m s mg d ˆ dv w d m d ˆ d V m V d w N N kgm m s N k, 000 psi l i π
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db = 23.7 in B C D 96 k bf = 8.97 in tf = in k = 1.09 in 13 Fy = 50 ksi Fu = 65 ksi Member A-B, Interior column: A E
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