YWXY º º t rzyywxyhyx` Ÿk z y Study on Strength Clcultion for Equiment mounted on Rolling Stock Õ ã ä ã äø ã Eung Cheon Kim, Won Cheol Lee, Jin Wook Be btrct lot of device re mounted on rolling tock for the ytem configurtion nd ome of device re greter thn ton. The trength of bolt to uort hevy device i one of the min fctor from fety oint of view nd the election of the mteril or quntity of bolt i very imortnt. Therefore, methodology to evlute the uitbility of mounting bolt gint the ecified deign lod ce conidering the mteril, trength, center of grvity, number of mounting oint nd the igue tre i rovided in thi er. Keyword : Bol Strength, Sfety ctor, Stre, Rolling Stock ï Ÿk Ÿkˆ ƒ d q ƒ r k ˆƒ k d y ŸkŽ q r Ž o l y v k q ekƒ y ƒ y t ˆ z m ld l w x e z y ƒ ± wxm ˆ y Ž o l Ÿk ää ï Ÿk ƒ k Ÿk v r y ƒ Ž q l k d z q Ž kt ˆ ³ˆ eprying Effect l º dz d l Ž my ƒ ± t l ƒ«y³º ƒ y v z k wx ƒ¹ ekƒ y t ƒ w O y, z w P v m ƒ y tƒ v m z ƒ v md l Ž o wx n U ˆ ¹ m v± kec@hyundi-rotem.co.kr ¹ m v±
ääúï äää Ð y w m m z äääää ø Ð w Longitudinl, Lterl, Verticlw v m r k m Longitudinl direction Lterl direction Verticl direction N ] γ m g long long [ () N ] γ m g lt lt [ () N ] γ m g [ () ƒ γ w x m k g k v äääää ï Ð m ˆ r k m m Longitudinl direction Lterl direction Verticl direction long N ] γ long m g lt N ] γ lt m g N ] γ m g [ () [ () [ () ƒ γ w x m k g k v äääää Ð k rverticlw m Verticl direction N ] m g [ (7) ƒ m k g k v äääú ÕÑ y e ƒ Tble ¹
Tble Mechnicl chrcteritic of Mechnicl chrcteritic Symbol ormul tre re [mm ] Proof tre [MP] Yield trength [MP] Minimum tenile trength [MP] yield UTS Proof lod [kg] S S Minimum tenile lod trength [kg] S UTS S UTS UTS Prelod force [kg] re re.7 S Prelod xil tre [MP] re re.7 äää Õ y Ž ooreerve fctorp Ž r Ž o ˆ U Proof lod reerve fctor Yield lod reerve fctor R. (8) R yield yield. (9) Ultimte lod reerve fctor R UTS UTS. () ƒs y l v äääñ øù y wx ƒr igure z ƒ wx ƒr m U º x w m z d U z y n rs U g S m Ž o m y ƒ ³ U # ig. mounting tructure
ääääälongitudinl(x)ø Ð Longitudinl(x)w r y igure ¹ v ½ z l # ig. ree Body Digrm in longitudinl direction Longitudinl(x) w y l U l y z U, d x, i with i to (), long t ˆ ³ˆ r (M r,x ) Pivot line m y,,, r Verticl w (-z) m ½ m U Longitudinl(-x) w ƒ Verticl w (z) m ½ U M H r x long, () M () r, x ( L L ) t, r, r, ( L ( L L ) ), L, r x ( L t r, r, ( L ( L L ) ) M () ) r, r, äääääverticl(z)ø Ð () Verticl(z)w r y igure ¹ v ½ z l
ig. ree Body Digrm in icl direction Verticl(z) w y l rs y z U t, d, z, i with i to () x um t ˆ ³ˆ r Verticl(z) w ƒ Ž. ääääälterl(y)ø Ð Lterl(y)w r y igure ¹ v ½ z l ig. ree Body Digrm in lterl direction
Lterl(y) w y l U l y z U, d y, i with i to (7), lt t ˆ ³ˆ r (M r,y ) Pivot line m y,, r Verticl(-z) w m U Lterl(-y) w ƒ Verticl(z) w m ½ U M H r y lt, (8) M r, y r, with i,, (9) y, i L () r, y, r, y, r, y, äääääú î ü y l ˆ m. φ ƒ, φ ƒ m.. re () y l. () ekƒ y l () äääää ï Ð BS78 ek m y m l m ³. ˆ m l.9 v m l t y. γ igue () igue UTS φ
ƒ γ igue y m l, y igue m l, φ ƒ m.. y m l ˆ m r, igue igue () ƒ igue y m v y m ˆ m. α igue xil igue () ƒ xil y l, α igue m v r m v m. m y ƒ w x x m ˆ. äääññ.. ƒ.. r wx y ms w x y Ž o Tble ƒ Tble 7 U
xil force xil force - - r, - - r, - - r, - - r, - - r, - - r, Tble Longitudinl(x) direction lod ce xil tre re re re re re re Sher force, d,, d,, d,, d,, d,, d,, d,, d,, d,, d,, d,, d, Sher tre Combined tre Proof xil force v Secondry xil force Ž l m ½ r y Ž t v ½ mxil tre ˆ - - - - - - xil force xil force Tble Longitudinl(-x) direction lod ce xil tre φ Sher force ( re t r x, ),,, d, r,, d, φ ( re t, ) r,, d, r,, d, φ ( re t, ) r,, d, r,, d, φ ( re t, ) r,, d, r,, d, φ ( re t, ) r,, d, r,, d, φ ( re t r x, ),,, d, r,, d, Sher tre Combined tre Proof Tble Verticl(z) direction lod ce xil force xil force t, d, z, t, d, z, t, d, z, t, d, z, t, d, z, t, d, z, Sher xil tre Sher tre Combined tre Proof force φ ( ) re t d, z,, φ ( ) re t d, z,, φ ( ) re t d, z,, φ ( ) re t d, z,, φ ( ) re t d, z,, φ ( ) re t d, z,,
xil force xil force d, z, d, z, d, z, d, z, d, z, d, z, Tble Verticl(-z) direction lod ce xil tre re re re re re re Sher force Sher tre Combined tre Proof xil force v Secondry xil force Ž l m ½ r y Ž t v ½ mxil tre ˆ xil force - - xil force re r, y, Tble Lterl(y) direction lod ce xil tre Sher force Sher tre Combined tre Proof, d, y,, d, y, - re, d, y,, d, y, - - re r, y,, d, y,, d, y, - re, d, y,, d, y, - - re r, y,, d, y,, d, y, - re, d, y,, d, y, xil force v Secondry xil force Ž l m ½ r y Ž t v ½ mxil tre ˆ Tble 7 Lterl(-y) direction lod ce xil force - Sher xil tre Sher tre Combined tre Proof xil force force φ ( re t r y, ),,, d, y, r, y,, d, y, - - - - φ re, d, y,, d, y, ( re t r y, ),,, d, y, r, y,, d, y, φ re, d, y,, d, y, ( re t r y, ),,, d, y, r, y,, d, y, - re, d, y,, d, y, xil force v Secondry xil force Ž l m ½ r y Ž t v ½ mxil tre ˆ
ääñï l ƒ ƒ d y m l Ž ƒ Ž ƒzz m ½ Ÿk z k d z Ž ƒ³ ½ƒ ƒ n Ž zz Tool v m l zz Toolm ³ wx q v w x Ž ƒ d ³ wx Ž e kƒy t ƒ k d z y Ž ƒ m³ wx ˆ y tm zz º r r ³ x zz y g y Ž k l y t Brcket ³ ˆ ƒ ƒ Ž zz r» ƒ t Brcket ˆ n y Ñö [] Stndrd PT SS-C&S--99, Rev. Stndrd for the Deign nd Contruction of Penger Rilrod Rolling Stock [] Society of utomotive Engineer (SE), J9 Rev. JN999, Mechnicl nd Mteril Requirement for Externlly Threded tener [] Britih Stndrd BS78:99 Code of rctice for tigue deign nd ement of teel tructure