6758&785$/'(3$570(17 ^dZhdhZ>W/d/^K&d,Z^Zt^dE>^^^d>;ϮͲϱϬͿ ůůŽǁĂďůĞ^ŚĞĂƌĂŶĚĞĂƌŝŶŐ͘ ^ŝnjĞ K>d Dϯ͘ϱ Dϰ͘Ϯ Dϰ͘ϴ Dϱ͘ϱ Dϲ͘ϯ dŚƌĞĂĚ ůůŽǁ^ŚĞĂƌ ZŽŽƚƌĞĂ ͞s͟;<EͿ ͞ Z ͟;ŝŶ Ϯ Ϳ EŽŵŝŶĂů ŝĂŵĞƚĞƌ ͞Ě Ĩ ͟;ŵŵͿ EŽŵŝŶĂů ŝĂŵĞƚĞƌ ͞Ě Ĩ ͟;ŝŶͿ ĚĨ ĚĨ ;ZͿ s Z^ ϯ͘ϱϬ ϰ͘ϮϬ ϰ͘ϴϬ ϱ͘ϱϬ ϲ͘ϯϬ Ϭ͘ϭϯϴ Ϭ͘ϭϲϱ Ϭ͘ϭϴϵ Ϭ͘Ϯϭϳ Ϭ͘Ϯϰϴ Ϭ͘ϬϬϳϴ Ϭ͘ϬϭϮϳ Ϭ͘Ϭϭϰϵ Ϭ͘ϬϮϭϱ Ϭ͘ϬϮϳϰ Ϭ͘ϯϴ Ϭ͘ϲϭ Ϭ͘ϳϮ ϭ͘Ϭϰ ϭ͘ϯϯ ĞĂƌŝŶŐĂƉĂĐŝƚLJ͕Ğфs;<EͿ ϭ͘Ϭ Ϭ͘ϱϴ Ϭ͘ϲϵ Ϭ͘ϳϵ Ϭ͘ϵϭ ϭ͘Ϭϰ ϭ͘ϱ Ϭ͘ϴϳ ϭ͘Ϭϰ ϭ͘ϭϵ ϭ͘ϯϳ ϭ͘ϱϲ Ϯ͘Ϭ ϭ͘ϭϲ ϭ͘ϯϵ ϭ͘ϱϵ ϭ͘ϴϮ Ϯ͘Ϭϴ Ϯ͘ϱ ϭ͘ϰϱ ϭ͘ϳϰ ϭ͘ϵϵ Ϯ͘Ϯϴ Ϯ͘ϲϭ ϯ͘Ϭ ϭ͘ϳϰ Ϯ͘Ϭϴ Ϯ͘ϯϴ Ϯ͘ϳϯ ϯ͘ϭϯ ϯ͘ϱ Ϯ͘Ϭϯ Ϯ͘ϰϯ Ϯ͘ϳϴ ϯ͘ϭϵ ϯ͘ϲϱ ϰ͘Ϭ Ϯ͘ϯϮ Ϯ͘ϳϴ ϯ͘ϭϴ ϯ͘ϲϰ ϰ͘ϭϳ ůƵŵŝŶŝƵŵϲϬϲϯdϲWůLJdŚŝĐŬŶĞƐƐΗƚΗ;ŵŵͿ ϰ͘ϱ ϱ͘Ϭ ϱ͘ϱ ϲ͘Ϭ ϲ͘ϱ Ϯ͘ϲϭ Ϯ͘ϵϬ ϯ͘ϭϵ ϯ͘ϰϳ ϯ͘ϳϲ ϯ͘ϭϯ ϯ͘ϰϳ ϯ͘ϴϮ ϰ͘ϭϳ ϰ͘ϱϮ ϯ͘ϱϳ ϯ͘ϵϳ ϰ͘ϯϳ ϰ͘ϳϳ ϱ͘ϭϲ ϰ͘ϭϬ ϰ͘ϱϱ ϱ͘Ϭϭ ϱ͘ϰϲ ϱ͘ϵϮ ϰ͘ϲϵ ϱ͘Ϯϭ ϱ͘ϳϯ ϲ͘Ϯϱ ϲ͘ϳϴ ϳ͘Ϭ ϰ͘Ϭϱ ϰ͘ϴϲ ϱ͘ϱϲ ϲ͘ϯϳ ϳ͘ϯϬ ϳ͘ϱ ϰ͘ϯϰ ϱ͘Ϯϭ ϱ͘ϵϲ ϲ͘ϴϯ ϳ͘ϴϮ ϴ͘Ϭ ϰ͘ϲϯ ϱ͘ϱϲ ϲ͘ϯϱ ϳ͘Ϯϴ ϴ͘ϯϰ ϴ͘ϱ ϰ͘ϵϮ ϱ͘ϵϭ ϲ͘ϳϱ ϳ͘ϳϰ ϴ͘ϴϲ ϵ͘Ϭ ϱ͘Ϯϭ ϲ͘Ϯϱ ϳ͘ϭϱ ϴ͘ϭϵ ϵ͘ϯϴ ϵ͘ϱ ϱ͘ϱϬ ϲ͘ϲϬ ϳ͘ϱϱ ϴ͘ϲϱ ϵ͘ϵϬ ϭϬ͘Ϭ ϱ͘ϳϵ ϲ͘ϵϱ ϳ͘ϵϰ ϵ͘ϭϬ ϭϬ͘ϰϮ ϳ͘Ϭ Ϯ͘Ϭϰ Ϯ͘Ϯϲ Ϯ͘ϴϵ ϯ͘Ϯϯ ϯ͘ϴϮ ϳ͘ϱ Ϯ͘ϭϴ Ϯ͘ϰϯ ϯ͘Ϭϵ ϯ͘ϰϲ ϰ͘Ϭϵ ϴ͘Ϭ Ϯ͘ϯϯ Ϯ͘ϱϵ ϯ͘ϯϬ ϯ͘ϲϵ ϰ͘ϯϳ ϴ͘ϱ Ϯ͘ϰϴ Ϯ͘ϳϱ ϯ͘ϱϭ ϯ͘ϵϮ ϰ͘ϲϰ ϵ͘Ϭ Ϯ͘ϲϮ Ϯ͘ϵϭ ϯ͘ϳϭ ϰ͘ϭϱ ϰ͘ϵϭ ϵ͘ϱ Ϯ͘ϳϳ ϯ͘Ϭϳ ϯ͘ϵϮ ϰ͘ϯϴ ϱ͘ϭϵ ϭϬ͘Ϭ Ϯ͘ϵϭ ϯ͘Ϯϰ ϰ͘ϭϯ ϰ͘ϲϭ ϱ͘ϰϲ ůůŽǁĂďůĞdĞŶƐŝŽŶĂŶĚWƵůůͲŽƵƚ͘ d^;/Ϳ ůůŽǁ ;EͿEŽŵŝŶĂů dĞŶƐŝůĞ dŚƌĞĂĚ ^ƚƌĞƐƐƌĞĂ dĞŶƐŝŽŶ͞ d ͟ ƐŝnjĞΘ ^ĐƌŝƉƉŝŶŐ Ϯ dŚƌĞĂĚ;ŝŶͿ ͞ ^ ͟;ŝŶ Ϳ ;<EͿ ƌĞĂ ^ŝnjĞ K>d Dϯ͘ϱ Dϰ͘Ϯ Dϰ͘ϴ Dϱ͘ϱ Dϲ͘ϯ d^;/Ϳ N ;^Ϳ d 0.01 0.01 0.02 0.02 0.03 ϯϮ͘ϬϬ ϯϮ͘ϬϬ Ϯϰ͘ϬϬ Ϯϰ͘ϬϬ ϮϬ͘ϬϬ Ϭ͘ϬϬϵϭ Ϭ͘Ϭϭϰϯ Ϭ͘Ϭϭϳϯ Ϭ͘ϬϮϰϯ Ϭ͘ϬϯϭϮ Ϭ͘ϳϲ ϭ͘ϮϬ ϭ͘ϰϱ Ϯ͘Ϭϰ Ϯ͘ϲϮ WƵůůŽƵƚ͕WĂфd;<EͿ ϭ͘Ϭ Ϭ͘ϮϬ Ϭ͘Ϯϱ Ϭ͘Ϯϴ Ϭ͘ϯϮ Ϭ͘ϯϳ ^ĐƌĞǁWƌŽƉĞƌƚŝĞƐ͗ DŝŶ͘hůƚ͘dĞŶƐŝůĞ^ƚƌĞŶŐƚŚ͕&Ƶс ϰϳϮϮϬ DŝŶ͘dĞŶƐŝůĞzŝĞůĚ^ƚƌĞŶŐƚŚ͕&LJс ϲϱϬϬϬ ƉƐŝ ƉƐŝ ůƵŵŝŶŝƵŵϲϬϲϯdϲWƌŽƉĞƌƚŝĞƐ͗ ĞĂƌŝŶŐzŝĞůĚ^ƚƌĞŶŐƚŚ͕&ƚLJс ϯϵϲϬϬ dĞŶƐŝůĞhůƚ͘^ƚƌĞŶŐƚŚ͕&ƚƵс ϯϬϬϬϬ dĞŶƐŝůĞzŝĞůĚ^ƚƌĞŶŐƚŚ͕&ƚLJс ϮϱϬϬϬ ƉƐŝ ƉƐŝ ƉƐŝ ϭ͘ϱ Ϭ͘ϯϭ Ϭ͘ϯϳ Ϭ͘ϰϮ Ϭ͘ϰϴ Ϭ͘ϱϱ Ϯ͘Ϭ Ϭ͘ϰϵ Ϭ͘ϱϴ Ϭ͘ϲϳ Ϭ͘ϳϲ Ϭ͘ϴϳ Ϯ͘ϱ Ϭ͘ϲϭ Ϭ͘ϳϯ Ϭ͘ϴϯ Ϭ͘ϵϱ ϭ͘Ϭϵ ϯ͘Ϭ Ϭ͘ϳϯ Ϭ͘ϴϳ ϭ͘ϬϬ ϭ͘ϭϰ ϭ͘ϯϭ ϯ͘ϱ Ϭ͘ϴϴ ϭ͘Ϭϰ ϭ͘Ϯϭ ϭ͘ϯϴ ϭ͘ϱϵ ϰ͘Ϭ ϭ͘Ϭϱ ϭ͘ϮϮ ϭ͘ϰϲ ϭ͘ϲϲ ϭ͘ϵϯ ůƵŵŝŶŝƵŵϲϬϲϯdϲWůLJdŚŝĐŬŶĞƐƐΗƚΗ;ŵŵͿ ϰ͘ϱ ϱ͘Ϭ ϱ͘ϱ ϲ͘Ϭ ϲ͘ϱ ϭ͘ϮϮ ϭ͘ϯϵ ϭ͘ϱϳ ϭ͘ϳϱ ϭ͘ϴϵ ϭ͘ϰϬ ϭ͘ϱϴ ϭ͘ϳϲ ϭ͘ϵϰ Ϯ͘ϭϬ ϭ͘ϳϭ ϭ͘ϵϲ Ϯ͘Ϯϭ Ϯ͘ϰϴ Ϯ͘ϲϴ ϭ͘ϵϯ Ϯ͘ϮϬ Ϯ͘ϰϴ Ϯ͘ϳϳ ϯ͘ϬϬ Ϯ͘Ϯϲ Ϯ͘ϱϵ Ϯ͘ϵϮ ϯ͘Ϯϴ ϯ͘ϱϱ ƋƵĂƚŝŽŶƐĨŽƌĂůůŽǁĂďůĞƉƵůůŽƵƚ͕ƚĞŶƐŝŽŶ͕ƐŚĞĂƌĂŶĚďĞĂƌŝŶŐ ĨŽƌϭ͘ϱŵŵфсƚфсϯ͘Ϭŵŵ ůůŽǁĂďůĞWƵůůͲKƵƚ͖Ƌ͘ϭϱDDd/ZͲϵͲϭϵϵϭ;ϮϬϬϬĚĚĞŶĚƵŵͿ WĂ= ;ϭͬϯͿΎ;<ŝSƚ&ƚLJͿͬϯϬ͘ϱ <ŝс Ϭ͘ϱϲϬ ĨŽƌϭ͘ϬфсƚфϮ͘Ϭ <ŝс Ϭ͘ϲϲϱ ĨŽƌϮ͘Ϭфсƚфсϯ͘Ϭ ĨŽƌϯ͘Ϭŵŵфƚфϲ͘Ϭŵŵ ůůŽǁĂďůĞWƵůůͲKƵƚ͖Ƌ͘ϭϲDDd/ZͲϵͲϭϵϵϭ;ϮϬϬϬĚĚĞŶĚƵŵͿ WĂ= ;ϭͬϯͿΎ;ϭ͘Ϯ&ƚLJ;Ϭ͘ϮϱͲƚͿнϭ͘ϭϲEd^;/Ϳ&ƚƵ;ƚͲϬ͘ϭϮϱͿ ĨŽƌϲ͘ϬŵŵфсƚфсϭϬ͘Ϭŵŵ ůůŽǁĂďůĞWƵůůͲKƵƚ͖Ƌ͘ϭϳDDd/ZͲϵͲϭϵϵϭ;ϮϬϬϬĚĚĞŶĚƵŵͿ WĂ= ;ϭͬϯͿΎ;ƚEd^;/Ϳ&ƚƵͿͬϯϬ͘ϱ dĞŶƐŝůĞ^ƚƌĞƐƐƌĞĂ͖Ƌ͘ϭDDd/ZͲϵͲϭϵϵϭ ^с Ϭ͘ϳϴϱϰ;ͲϬ͘ϵϳϰϯͬEͿϮ Ϯ dŚƌĞĂĚZŽŽƚƌĞĂ͖Ƌ͘ϮDDd/ZͲϵͲϭϵϵϭ Zс Ϭ͘ϳϴϱϰ;Ͳϭ͘ϮϮϲϵͬEͿ ůůŽǁĂůďĞdĞŶƐŝŽŶ dс Ϭ͘ϰ&Ƶ;^Ϳ 0.5 ůůŽǁĂůďĞ^ŚĞĂƌ;^ŝŶŐůĞͿ sс Ϭ͘ϰ&Ƶ;ZͿͬϯ ůůŽǁĂďůĞĞĂƌŝŶŐĨŽƌůƵŵ͘WůĂƚĞƐ͖Ƌ͘ϲDDd/ZͲϵͲϭϵϵϭ Ăс &ƚLJƚͬϭ͘ϲϱ EKd^ ͲItalicbearingcapacityvaluesaregreaterthantheshearcapcityoftheboltHence,useminimumshearofbolt. ͲSteelDesignStregthRefrencefromBSEN10Ͳ025S275 ͲTSA(I)valuesrefrencefromAMMAͲTIRͲA9Ͳ1991Table4 6758&785$/'(3$570(17 ^dZhdhZ>W/d/^K&h^dEd/'Z͘ϮͲϱϬK>d^ASPERBS8118Ͳ1:1991 dĂďůĞ͗dE^/KE͕^,ZΘZ/E'W/dz ^ŝnjĞ ŽůƚĂƉĂĐŝƚLJ EŽŵŝŶĂů dĞŶƐŝůĞ ŝĂŵĞƚĞƌ ^ƚƌĞƐƐƌĞĂ Tensile“PRT” Shear“VRS” Ϯ (KN) (KN) ͞Ě Ĩ ͟;ŵŵͿ ͞ Ɛ ͟;ŵŵ Ϳ ĞĂƌŝŶŐĂƉĂĐŝƚLJ͕ŵŝŶ; Z& ͕ Z Ϳфs Z^ ;<EͿ ůƵŵŝŶŝƵŵWůLJdŚŝĐŬŶĞƐƐΗƚΗ;ŵŵͿ BOLT df As P RT V RS ϭ͘Ϭ ϭ͘ϱ Ϯ͘ϭ Ϯ͘ϱ ϯ͘Ϭ ϯ͘ϱ ϰ͘Ϭ ϰ͘ϱ ϱ͘Ϭ ϱ͘ϱ ϲ͘Ϭ ϲ͘ϱ ϳ͘Ϭ ϳ͘ϱ ϴ͘Ϭ ϴ͘ϱ ϵ͘Ϭ ϵ͘ϱ ϭϬ͘Ϭ Dϲ Dϴ DϭϬ DϭϮ Dϭϰ Dϭϲ Dϭϴ DϮϬ DϮϮ DϮϰ ϲ͘ϬϬ ϴ͘ϬϬ ϭϬ͘ϬϬ ϭϮ͘ϬϬ ϭϰ͘ϬϬ ϭϲ͘ϬϬ ϭϴ͘ϬϬ ϮϬ͘ϬϬ ϮϮ͘ϬϬ Ϯϰ͘ϬϬ ϮϬ͘ϭ ϯϲ͘ϲ ϱϴ͘Ϭ ϴϰ͘ϯ ϭϭϱ͘Ϭ ϭϱϳ͘Ϭ ϭϵϮ͘Ϭ Ϯϱϭ͘ϯ ϯϬϯ͘Ϭ ϯϱϯ͘Ϭ ϰ͘ϮϮ ϳ͘ϲϵ ϭϮ͘ϭϴ ϭϳ͘ϳϬ Ϯϰ͘ϭϱ ϯϮ͘ϵϳ ϰϬ͘ϯϮ ϱϮ͘ϳϳ ϲϯ͘ϲϯ ϳϰ͘ϭϯ Ϯ͘ϱϭ ϰ͘ϱϳ ϳ͘Ϯϱ ϭϬ͘ϱϯ ϭϰ͘ϯϳ ϭϵ͘ϲϮ Ϯϯ͘ϵϵ ϯϭ͘ϰϬ ϯϳ͘ϴϲ ϰϰ͘ϭϭ 1.75 2.33 2.19 2.63 3.06 3.50 3.94 4.38 4.81 5.25 Ϯ͘ϲϯ 3.50 4.38 5.25 6.13 5.25 5.91 6.56 7.22 7.88 ϯ͘ϲϴ ϰ͘ϵϬ 6.13 7.35 8.58 9.80 11.03 12.25 10.11 11.03 ϰ͘ϯϴ ϱ͘ϴϯ ϳ͘Ϯϵ 8.75 10.21 11.67 13.13 14.58 16.04 17.50 ϱ͘Ϯϱ ϳ͘ϬϬ ϴ͘ϳϱ 10.50 12.25 14.00 15.75 17.50 19.25 21.00 ϲ͘ϭϯ ϴ͘ϭϳ ϭϬ͘Ϯϭ ϭϮ͘Ϯϱ 14.29 16.33 18.38 20.42 22.46 24.50 ϳ͘ϬϬ ϵ͘ϯϯ ϭϭ͘ϲϳ ϭϰ͘ϬϬ ϭϲ͘ϯϯ 18.67 21.00 23.33 25.67 28.00 ϳ͘ϴϴ ϭϬ͘ϱϬ ϭϯ͘ϭϯ ϭϱ͘ϳϱ ϭϴ͘ϯϴ Ϯϭ͘ϬϬ 23.63 26.25 28.88 31.50 ϴ͘ϳϱ ϭϭ͘ϲϳ ϭϰ͘ϱϴ ϭϳ͘ϱϬ ϮϬ͘ϰϮ Ϯϯ͘ϯϯ Ϯϲ͘Ϯϱ 29.17 32.08 35.00 ϵ͘ϲϯ ϭϮ͘ϴϯ ϭϲ͘Ϭϰ ϭϵ͘Ϯϱ ϮϮ͘ϰϲ Ϯϱ͘ϲϳ Ϯϴ͘ϴϴ ϯϮ͘Ϭϴ 35.29 38.50 ϭϬ͘ϱϬ ϭϰ͘ϬϬ ϭϳ͘ϱϬ Ϯϭ͘ϬϬ Ϯϰ͘ϱϬ Ϯϴ͘ϬϬ ϯϭ͘ϱϬ ϯϱ͘ϬϬ ϯϴ͘ϱϬ 42.00 ϭϭ͘ϯϴ ϭϱ͘ϭϳ ϭϴ͘ϵϲ ϮϮ͘ϳϱ Ϯϲ͘ϱϰ ϯϬ͘ϯϯ ϯϰ͘ϭϯ ϯϳ͘ϵϮ ϰϭ͘ϳϭ ϰϱ͘ϱϬ ϭϮ͘Ϯϱ ϭϲ͘ϯϯ ϮϬ͘ϰϮ Ϯϰ͘ϱϬ Ϯϴ͘ϱϴ ϯϮ͘ϲϳ ϯϲ͘ϳϱ ϰϬ͘ϴϯ ϰϰ͘ϵϮ ϰϵ͘ϬϬ ϭϯ͘ϭϯ ϭϳ͘ϱϬ Ϯϭ͘ϴϴ Ϯϲ͘Ϯϱ ϯϬ͘ϲϯ ϯϱ͘ϬϬ ϯϵ͘ϯϴ ϰϯ͘ϳϱ ϰϴ͘ϭϯ ϱϮ͘ϱϬ ϭϰ͘ϬϬ ϭϴ͘ϲϳ Ϯϯ͘ϯϯ Ϯϴ͘ϬϬ ϯϮ͘ϲϳ ϯϳ͘ϯϯ ϰϮ͘ϬϬ ϰϲ͘ϲϳ ϱϭ͘ϯϯ ϱϲ͘ϬϬ ϭϰ͘ϴϴ ϭϵ͘ϴϯ Ϯϰ͘ϳϵ Ϯϵ͘ϳϱ ϯϰ͘ϳϭ ϯϵ͘ϲϳ ϰϰ͘ϲϯ ϰϵ͘ϱϴ ϱϰ͘ϱϰ ϱϵ͘ϱϬ ϭϱ͘ϳϱ Ϯϭ͘ϬϬ Ϯϲ͘Ϯϱ ϯϭ͘ϱϬ ϯϲ͘ϳϱ ϰϮ͘ϬϬ ϰϳ͘Ϯϱ ϱϮ͘ϱϬ ϱϳ͘ϳϱ ϲϯ͘ϬϬ ϭϲ͘ϲϯ ϮϮ͘ϭϳ Ϯϳ͘ϳϭ ϯϯ͘Ϯϱ ϯϴ͘ϳϵ ϰϰ͘ϯϯ ϰϵ͘ϴϴ ϱϱ͘ϰϮ ϲϬ͘ϵϲ ϲϲ͘ϱϬ ϭϳ͘ϱϬ Ϯϯ͘ϯϯ Ϯϵ͘ϭϳ ϯϱ͘ϬϬ ϰϬ͘ϴϯ ϰϲ͘ϲϳ ϱϮ͘ϱϬ ϱϴ͘ϯϯ ϲϰ͘ϭϳ ϳϬ͘ϬϬ dĞŶƐŝŽŶĂƉĂĐŝƚLJ͕W Zd сĂ͘W Ĩ ͘ Ɛ ͬ J ŵ ^ŚĞĂƌĂƉĂĐŝƚLJ͕s Z^ с D Ɛ ͘W Ĩ ͘ Ɛ ͘< ů ͬ J ŵ ;^ĞĐƚŝŽŶϲ͘ϰ͘ϯͿ ;^ĞĐƚŝŽŶϲ͘ϰ͘ϮͿ ĞĂƌŝŶŐĂƉĂĐŝƚLJ͕ Z сĚ Ĩ Ϯ͘ƚ͘W Ă ͬ J ŵ ;^ĞĐƚŝŽŶϲ͘ϰ͘ϰͿ ĞĂƌŝŶŐĂƉĂĐŝƚLJ͕ Z сĚ Ĩ Đ͘ƚ͘W Ă ͬ J ŵ Eͬŵŵ Ϯ WƌŽŽĨ^ƚƌĞƐƐ͕Ĩ Ϭ͘Ϯ с ϮϭϬ ;^ĞĐƚŝŽŶϲ͘ϰ͘ϰͿ dĞŶƐŝůĞ^ƚƌĞƐƐ͕Ĩ Ƶ с DĞĐŚĂŶŝĐĂůƉƌŽƉĞƌƚŝĞƐŽĨƵƐƚĞŶƚŝĐ'ƌĂĚĞϮͲϱϬE/^KϯϱϬϲ ϱϬϬ Eͬŵŵ Ϯ DĞĐŚĂŶŝĐĂůƉƌŽƉĞƌƚŝĞƐŽĨƵƐƚĞŶƚŝĐ'ƌĂĚĞϮͲϱϬE/^KϯϱϬϳ ;^ĞĐƚŝŽŶϲ͘ϰ͘ϭͿ WĨс ϮϱϮ Eͬŵŵ Ϯ WĂс ϭϳϱ Eͬŵŵ Ϯ ;dĂďůĞϰ͘ϭͿ J ŵ с ϭ͘Ϯ ĨŽƌƐƚĂŝŶůĞƐƐƐƚĞĞůĨĂƐƚŶĞƌ ;dĂďůĞϯ͘ϯͿ Ăс <ůс DƐс Đс ϭ͘ϬϬ ĨŽƌƐƚĂŝŶůĞƐƐƐƚĞĞůĨĂƐƚŶĞƌ Ϭ͘ϴϱ ĨŽƌƐƚĂŝŶůĞƐƐƐƚĞĞůĨĂƐƚŶĞƌ Ϭ͘ϳ ĨŽƌƐƚĂŝŶůĞƐƐƐƚĞĞůĨĂƐƚŶĞƌ Ϯ tŚĞŶ Ě Ĩ ͬƚфϭϬ ͖ ϮϬ͘ƚ ͬĚ Ĩ tŚĞŶ ϭϬфĚ Ĩ ͬƚфϭϯ ͖ ϭ͘ϱ tŚĞŶ Ě Ĩ ͬƚхϭϯ