An ABCDEFGH truss will be analyzed. The truss has geometry as indicated on the sketches. The...

 

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An ABCDEFGH truss will be analyzed. The truss has geometry as indicated on the sketches. The truss is made of thermoformed square hollow profile (HFRHS-NS-EN 10 210 5355 JOH) and of steel quality S355. The upper and lower straps are made of JOH, while all other truss rods are made of JOH 40 x 40 xs The assignment is divided into four modules: A: Static-determined truss B: Once static inner indeterminate truss C: Twice static inner indeterminate truss D: Twice static inner and once auter static indeterminate truss MODULE A: The statically determined truss must be analyzed using the equilibrium method. P2 P3 P5 P6 P1 VD 10 YE 11 V F 12 G 13 H AHy 3 5 AHx 1 A B ACy L L L L ABX a) Calculate the bearing reactions and all the rod forces S for the external given load effect. b) Calculate transverse displacement ACy and AHy as well as the displacement ABx and AHx. 6. PARAMETERS: P2 P3 P. Ps Ps kN kN kN kN 10 12 16 12 16 12 10 15 18 20 18 20 18 15 20 24 24 24 24 24 20 Upper and lower bet Crosabars and slashes [mm] [mm) [mm] -mm 2000 3,6 2,6 2, 00 x 10 3000 2, 05 x 10 4,0 3,2 2, 10 x 10 4000 5,0 4,0 HOT SHAPED SQUARE HOLE PROFILE: axis Dimensions Mass Area y-y-2 4-10 1 10* . 10 10 40 x 40 2,6 3,03 0,386 0,0894 4,47 15,2 5,39 0.140 0,466 0,1040 0,568 0,1210 3,2 3,66 5,22 15,0 6,40 0,165 4,0 4,46 6,07 14,6 7,61 0,195 10,40 0,338 12,50 0,404 50 x 50 3,2 4,66 0,594 0,2160 8,62 19,1 4,0 5,72 0,728 0,2550 10,20 18,7 3,0 6,97 0,888 0,2960 11,90 18,3 14,90 0,476 60 x 60 3,2 5,67 0,722 0,3870 12,90 23,1 15,30 0,601 4,0 6,97 0,888 0,4610 15,40 22,8 18,60 0,724 5,0 8,54 1,090 0,5440 18,10 22,4 22,30 0,863 80 x 80 3,6 1.090 1,0600 26,50 31,1 1,640 8,59 31,30 1,210 1,1600 1,490 1,3900 1,840 1,6500 1,530 2,3400 1,890 2,8300 2340 3,4100 4,0 9,48 29,00 31,0 34,30 1,800 41,70 2,170 30,0 50,50 39,1 5,0 I1,7 34,70 30,5 6,3 14,4 41,30 2,610 100 x 100 4,0 12.0 46,80 54,90 3,610 5,0 14,8 56,60 38,7 67,10 4,390 6,3 18,4 68,20 3,330 82,00 37,4 99,90 36,5 119,00 38,1 8.0 22,9 2.910 4,0800 81,50 6.460 10,0 27,9 3,550 4,7400 94,90 7,610 PARAMETERS: L Beam 91 92 НЕ-В mm kN/m kN/m kN 3000 20 select freely from the Table 4000 4 4 40 5000 6. 60 HEAT ROLL HE-B - BEAMS Dimensions measurements Mass Strong axis Areal mm НЕ-В 4- 10 1. 10 w. 10 100 100 100 10 12 20,4 2,60 4,50 88,9 41,6 120 120 120 6,5 11 12 26,7 3,40 8,64 144,0 50,4 140 140 140 12 12 33,7 4,30 15,1 216,0 59,3 160 5,43 24,9 38,3 311,0 426,0 160 160 13 15 42,6 67,8 76,6 85,4 180 180 180 8,5 14 15 51,2 6,53 200 200 200 9 15 18 61,3 7,81 9,10 10,60 57,0 570,0 220 220 220 9,5 16 18 71,5 80,9 736,0 94,3 240 240 240 10 17 21 83,2 112,6 938,0 103,0 260 260 260 10 17,5 24 93,0 11,80 149,2 1150,0 112,0 103,0 117,0 13,10 192,7 251,7 1380,0 122,0 130,0 280 280 280 10,5 18 24 300 300 300 11 19 27 14,90 1680,0 320 320 300 11,5 20,5 27 127,0 16,10 308,2 1930,0 138,0 340 340 300 12 21,5 27 134,0 17,10 366,6 2160,0 146,0 360 360 300 12,5 22,5 27 142,0 18,10 431,9 2400,0 155,0 400 400 300 13,5 24 27 155,0 19,80 576,8 2880,0 171,0 2. 6. An ABCDEFGH truss will be analyzed. The truss has geometry as indicated on the sketches. The truss is made of thermoformed square hollow profile (HFRHS-NS-EN 10 210 5355 JOH) and of steel quality S355. The upper and lower straps are made of JOH, while all other truss rods are made of JOH 40 x 40 xs The assignment is divided into four modules: A: Static-determined truss B: Once static inner indeterminate truss C: Twice static inner indeterminate truss D: Twice static inner and once auter static indeterminate truss MODULE A: The statically determined truss must be analyzed using the equilibrium method. P2 P3 P5 P6 P1 VD 10 YE 11 V F 12 G 13 H AHy 3 5 AHx 1 A B ACy L L L L ABX a) Calculate the bearing reactions and all the rod forces S for the external given load effect. b) Calculate transverse displacement ACy and AHy as well as the displacement ABx and AHx. 6. PARAMETERS: P2 P3 P. Ps Ps kN kN kN kN 10 12 16 12 16 12 10 15 18 20 18 20 18 15 20 24 24 24 24 24 20 Upper and lower bet Crosabars and slashes [mm] [mm) [mm] -mm 2000 3,6 2,6 2, 00 x 10 3000 2, 05 x 10 4,0 3,2 2, 10 x 10 4000 5,0 4,0 HOT SHAPED SQUARE HOLE PROFILE: axis Dimensions Mass Area y-y-2 4-10 1 10* . 10 10 40 x 40 2,6 3,03 0,386 0,0894 4,47 15,2 5,39 0.140 0,466 0,1040 0,568 0,1210 3,2 3,66 5,22 15,0 6,40 0,165 4,0 4,46 6,07 14,6 7,61 0,195 10,40 0,338 12,50 0,404 50 x 50 3,2 4,66 0,594 0,2160 8,62 19,1 4,0 5,72 0,728 0,2550 10,20 18,7 3,0 6,97 0,888 0,2960 11,90 18,3 14,90 0,476 60 x 60 3,2 5,67 0,722 0,3870 12,90 23,1 15,30 0,601 4,0 6,97 0,888 0,4610 15,40 22,8 18,60 0,724 5,0 8,54 1,090 0,5440 18,10 22,4 22,30 0,863 80 x 80 3,6 1.090 1,0600 26,50 31,1 1,640 8,59 31,30 1,210 1,1600 1,490 1,3900 1,840 1,6500 1,530 2,3400 1,890 2,8300 2340 3,4100 4,0 9,48 29,00 31,0 34,30 1,800 41,70 2,170 30,0 50,50 39,1 5,0 I1,7 34,70 30,5 6,3 14,4 41,30 2,610 100 x 100 4,0 12.0 46,80 54,90 3,610 5,0 14,8 56,60 38,7 67,10 4,390 6,3 18,4 68,20 3,330 82,00 37,4 99,90 36,5 119,00 38,1 8.0 22,9 2.910 4,0800 81,50 6.460 10,0 27,9 3,550 4,7400 94,90 7,610 PARAMETERS: L Beam 91 92 НЕ-В mm kN/m kN/m kN 3000 20 select freely from the Table 4000 4 4 40 5000 6. 60 HEAT ROLL HE-B - BEAMS Dimensions measurements Mass Strong axis Areal mm НЕ-В 4- 10 1. 10 w. 10 100 100 100 10 12 20,4 2,60 4,50 88,9 41,6 120 120 120 6,5 11 12 26,7 3,40 8,64 144,0 50,4 140 140 140 12 12 33,7 4,30 15,1 216,0 59,3 160 5,43 24,9 38,3 311,0 426,0 160 160 13 15 42,6 67,8 76,6 85,4 180 180 180 8,5 14 15 51,2 6,53 200 200 200 9 15 18 61,3 7,81 9,10 10,60 57,0 570,0 220 220 220 9,5 16 18 71,5 80,9 736,0 94,3 240 240 240 10 17 21 83,2 112,6 938,0 103,0 260 260 260 10 17,5 24 93,0 11,80 149,2 1150,0 112,0 103,0 117,0 13,10 192,7 251,7 1380,0 122,0 130,0 280 280 280 10,5 18 24 300 300 300 11 19 27 14,90 1680,0 320 320 300 11,5 20,5 27 127,0 16,10 308,2 1930,0 138,0 340 340 300 12 21,5 27 134,0 17,10 366,6 2160,0 146,0 360 360 300 12,5 22,5 27 142,0 18,10 431,9 2400,0 155,0 400 400 300 13,5 24 27 155,0 19,80 576,8 2880,0 171,0 2. 6.