Question

3. Design a tension member using a single angle of A36 steel with bolted connections (4 bolts minimum). Loads are: 20 Kips DL, 15 Kips LL. The design must satisfy both LRFD and ASD requirements. Make any reasonable assumption in the design process.

Answer 1

given, loads are s- dead load = 20 kips . live load = 15 kips . Potal ultimate load = 1.5% [20 +15) = 1.5x35 2 52:56ps 233.53 KN Calculation of gross area of angle sections load in Ag (gross area) = fy | 2.1) 233-53X103 (250/1-2) fy = 250 mpa! FOR ABG stel = 1027.582 MM².

Select angle section 4² x 4² x 1 having roles sectional area - 1.94 inch 1251.61 mm2 " assuning bolt used is of 20 mm dia with 22mm bolt hall dia and grade of 4.6 . feb a 400 i shear strength of bult areax hub 1.2553 -0.18x x0x 402553 - 45.272 KN & Bearing strength of bett = 2.5 kod dmin fup 1-25 where Kounin do -0.25, the ] assome e = 1.5 do send/edge distance P (pitch) & 2.5d felb= 4oo. fup - 410 400 / Where Rb-N f. 5 do 3 do 2.5d 3 do 25, U10 4102 where Ko - Min the sales 25d -0.25, vero, 2] Kos. Min 0.5, 29620 -0.25, 09,4] 16 - Miu (0.5, 2150 -5015, 0-9, 1] Kb = 0.5

2 1.25 e. Bearing stoungth of balt 2.5x0.5x20x 25.4x U10 Los here it is assumed that gusset e plate thickeness is more than angle sution anickeness. & Bearing strength of bolt = 208.28 KN = 52.07 KN o strength of bott min of (shear strength, Bearing stength) = 45.272 KN a. No. of belts Required a 238.53 5.158 45.212 - 6 boults Tue 6 belts . fuse 6 balts Net area strength of augle section or Net area = (4 +4° -4 -0.866') * = 1.721 inch? = 110.3204 mm2 Net area strength of angle = 0.g Anet & fups - 0.9x10.32048 Motos = 327.76 KN There fore in Met area strength angle is safe.

Block checks - shear strength 50 mm 20 gom assone gauge distance 30mm 83 10mm 4 AsQ - (38+5x500x 25.4 . 1194.65 mm? Asn = (33+ 5 x50 - 5-5 X22]* 2514 - 10287 m2 ATG - 90x 25.4 - 444.5 mm? ATN = 170 - 227* 254 - 374.65 mm? i. Block shear strength - AsGxfy + 0.9 Aux fupes 1-25 ulo 1191.08 250 + 0,9x374.65% 7. 1.25 TIS 846.40 KN Block shear strength ASNxogx fup + ArGx Py 1.2553 0.941020.7x U10 + 444.5x 250 1.2533 276.347 KN Block shear strength is 276.347 KN which is greater Than ultimate load Combination le 233.53KN

There fare safe in sold selected all failure 4² angle section Conditions. Balts typical used cross are of Romm dia blith 4.6 section is as below! grade. 30mm 33m 50mm 50mm, 50mm 5 mm Tomm

given, loads are s- dead load = 20 kips . live load = 15 kips . Potal ultimate load = 1.5% [20 +15) = 1.5x35 2 52:56ps 233.53 KN Calculation of gross area of angle sections load in Ag (gross area) = fy | 2.1) 233-53X103 (250/1-2) fy = 250 mpa! FOR ABG stel = 1027.582 MM².

Select angle section 4² x 4² x 1 having roles sectional area - 1.94 inch 1251.61 mm2 " assuning bolt used is of 20 mm dia with 22mm bolt hall dia and grade of 4.6 . feb a 400 i shear strength of bult areax hub 1.2553 -0.18x x0x 402553 - 45.272 KN & Bearing strength of bett = 2.5 kod dmin fup 1-25 where Kounin do -0.25, the ] assome e = 1.5 do send/edge distance P (pitch) & 2.5d felb= 4oo. fup - 410 400 / Where Rb-N f. 5 do 3 do 2.5d 3 do 25, U10 4102 where Ko - Min the sales 25d -0.25, vero, 2] Kos. Min 0.5, 29620 -0.25, 09,4] 16 - Miu (0.5, 2150 -5015, 0-9, 1] Kb = 0.5

Block checks - shear strength 50 mm 20 gom assone gauge distance 30mm 83 10mm 4 AsQ - (38+5x500x 25.4 . 1194.65 mm? Asn = (33+ 5 x50 - 5-5 X22]* 2514 - 10287 m2 ATG - 90x 25.4 - 444.5 mm? ATN = 170 - 227* 254 - 374.65 mm? i. Block shear strength - AsGxfy + 0.9 Aux fupes 1-25 ulo 1191.08 250 + 0,9x374.65% 7. 1.25 TIS 846.40 KN Block shear strength ASNxogx fup + ArGx Py 1.2553 0.941020.7x U10 + 444.5x 250 1.2533 276.347 KN Block shear strength is 276.347 KN which is greater Than ultimate load Combination le 233.53KN

2 1.25 e. Bearing stoungth of balt 2.5x0.5x20x 25.4x U10 Los here it is assumed that gusset e plate thickeness is more than angle sution anickeness. & Bearing strength of bolt = 208.28 KN = 52.07 KN o strength of bott min of (shear strength, Bearing stength) = 45.272 KN a. No. of belts Required a 238.53 5.158 45.212 - 6 boults Tue 6 belts . fuse 6 balts Net area strength of augle section or Net area = (4 +4° -4 -0.866') * = 1.721 inch? = 110.3204 mm2 Net area strength of angle = 0.g Anet & fups - 0.9x10.32048 Motos = 327.76 KN There fore in Met area strength angle is safe.

There fare safe in sold selected all failure 4² angle section Conditions. Balts typical used cross are of Romm dia blith 4.6 section is as below! grade. 30mm 33m 50mm 50mm, 50mm 5 mm Tomm