Question

Calculate the horizontal deflection at joint C for the truss shown. D 2600 mm^2 E 4.5 m 2600 mm^2 2600 mm^2 TB 100 kN 100 kN E 200 GPa 6 m

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Answer #1

Free Body Diagram RD D E 100 KN Hp 4.5m A HA bm B 6m с 100 KN 100 EN Efy = 0 7.5m 4.5 RD = 100 + 100 36.17 Gm Rb = 200 KN CosNow We can kue Method of Joints to find the members forces. : Consider Joint C FCE Fy = 0 FCE Cos (36.87) - 100 36.89 FCE TOOConsider joint D 200 km D FDE 500 Kn FAD = 200 kn FAD FDE KN 500 Consider joint А FAD FAE Fy = o 36.87 7 FAB FAD + FAE Sim (3have to remove As por virtual Work Method. all external loads and place Force at E in honzontal Direction. a unit Үр A D E →i Consides Joint a FCE loads No extanal Σχο, FBC Fy 20 =D 36-87 FCE = 0 ii) Consider joint B FBE EFy Fo FBE FAB B so FBC EFIV Consider joint A SO Efy FAE Sin(26.84) FAE 36.87 FAE O A 0 Virtual Work Method Deflection, A- INNL) AE n- Force dece of unMemba length (mm) n ANL A. Area N (mm2) I (KN) 2600 -75 (kn) AB 6000 0 0 BC 6000 2600 -75 o CE 7500 2400 125 0 o BE 4500 2000

answered by: ANURANJAN SARSAM
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Calculate the horizontal deflection at joint C for the truss shown. D 2600 mm^2 E 4.5 m 2600 mm^2 2600 mm^2 TB 100 kN 100 kN E 200 GPa 6 m
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