THE TASK: A beam ABCDE must be analyzed. The beam has geometry as indicated on the...

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THE TASK: A beam ABCDE must be analyzed. The beam has geometry as indicated on the sketches. Beam is made of heating roller HE-B and of steel quality S355. The e-module is added The 2,0 x 10 N mm assignment is divided into three (3) modules: A: Static determined beam B: Once static indeterminate beam C: Twice static indeterminate beam MODULE A: The statically determined beam shall be analyzed when only bent deformations are taken into account. The beam is held against displacement in the vertical and horizontal direction at node B and in the vertical direction at node D, as indicated in the sketch. 91 P 92 Δ B E L. a) Calculate the bearing reactions for the external given load effect. b) Establish torque and shear force diagram for the beam. c) Calculate transverse displacement A4: Ac og Az: d) Sketch the deformation figure of the beam for the externally given load effect NIN NIN PARAMETERS: P2 P3 P. Ps Ps P, kN kN 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 E Upper and lower belt Crossbars and slashes [mm] [mm) [mm] -mm 2000 3,6 2,6 2, 00 x 10 3000 2, 05 x 10 4,0 3,2 4000 2, 10 x 10 5,0 4,0 HOT SHAPED SQUARE HOLE PROFILE: axis Dimensions Mass Area y-y2-2 4-20 1 10 . 10 ", 10 10 40 x 40 2,6 3,03 0,386 0,0894 4,47 15,2 5,39 0.140 3,2 3,66 0,466 0,1040 5,22 15,0 6,40 0,165 0,568 0,1210 0,594 0,2160 0,728 0,2550 4,0 4,46 6,07 14,6 7,61 0,195 10,40 0,338 12,50 0,404 0,476 0,601 50 x 50 3,2 4,66 8,62 19,1 4,0 5,72 10,20 18,7 3,0 6,97 0,888 0,2960 11,90 18,3 14,90 60 x 60 3,2 5,67 0,722 0,3870 12,90 23,1 15,30 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 1,090 1,0600 1.210 1,1600 1,490 1,3900 1,840 1,6500 80 x 80 3,6 8,59 26,50 31.1 31,30 1,640 4.0 9,48 29,00 31,0 34,30 1,800 5,0 I1,7 34,70 30,5 41,70 2,170 6,3 14,4 41,30 30,0 50,50 2,610 100 x 100 4,0 12,0 1,530 2,3400 46,80 39,1 54.90 3,610 1,890 2,8300 2340 3,4100 5,0 14,8 56,60 38,7 67,10 4,390 6,3 18,4 68,20 38,1 82,00 3,330 37,4 99,90 36,5 119,00 8.0 22,9 2.910 4,0800 81,50 6,460 10,0 27,9 3,550 4,7400 94,90 7,610 THE TASK: A beam ABCDE must be analyzed. The beam has geometry as indicated on the sketches. Beam is made of heating roller HE-B and of steel quality S355. The e-module is added The 2,0 x 10 N mm assignment is divided into three (3) modules: A: Static determined beam B: Once static indeterminate beam C: Twice static indeterminate beam MODULE A: The statically determined beam shall be analyzed when only bent deformations are taken into account. The beam is held against displacement in the vertical and horizontal direction at node B and in the vertical direction at node D, as indicated in the sketch. 91 P 92 Δ B E L. a) Calculate the bearing reactions for the external given load effect. b) Establish torque and shear force diagram for the beam. c) Calculate transverse displacement A4: Ac og Az: d) Sketch the deformation figure of the beam for the externally given load effect NIN NIN PARAMETERS: P2 P3 P. Ps Ps P, kN kN 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 E Upper and lower belt Crossbars and slashes [mm] [mm) [mm] -mm 2000 3,6 2,6 2, 00 x 10 3000 2, 05 x 10 4,0 3,2 4000 2, 10 x 10 5,0 4,0 HOT SHAPED SQUARE HOLE PROFILE: axis Dimensions Mass Area y-y2-2 4-20 1 10 . 10 ", 10 10 40 x 40 2,6 3,03 0,386 0,0894 4,47 15,2 5,39 0.140 3,2 3,66 0,466 0,1040 5,22 15,0 6,40 0,165 0,568 0,1210 0,594 0,2160 0,728 0,2550 4,0 4,46 6,07 14,6 7,61 0,195 10,40 0,338 12,50 0,404 0,476 0,601 50 x 50 3,2 4,66 8,62 19,1 4,0 5,72 10,20 18,7 3,0 6,97 0,888 0,2960 11,90 18,3 14,90 60 x 60 3,2 5,67 0,722 0,3870 12,90 23,1 15,30 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 1,090 1,0600 1.210 1,1600 1,490 1,3900 1,840 1,6500 80 x 80 3,6 8,59 26,50 31.1 31,30 1,640 4.0 9,48 29,00 31,0 34,30 1,800 5,0 I1,7 34,70 30,5 41,70 2,170 6,3 14,4 41,30 30,0 50,50 2,610 100 x 100 4,0 12,0 1,530 2,3400 46,80 39,1 54.90 3,610 1,890 2,8300 2340 3,4100 5,0 14,8 56,60 38,7 67,10 4,390 6,3 18,4 68,20 38,1 82,00 3,330 37,4 99,90 36,5 119,00 8.0 22,9 2.910 4,0800 81,50 6,460 10,0 27,9 3,550 4,7400 94,90 7,610