Consider the truss network, made from metal alloy with a Young's modulus of 50 GPa, shown...

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Consider the truss network, made from metal alloy with a Young's modulus of 50 GPa, shown in Figure Q1. Global node numbers (1), (2) and (3) are indicated. Find the displacement at node (2), and the reaction force at node (1), using the finite element method. [20] 2 1000 N 1 300 mm A=20 mm² 500 mm 1² AE Im L-1² - Im Im 2 m² Note: For the truss element in a 2D plane, oriented at an angle to the global horizontal axis (xº), the finite element stiffness equation can be written as follows, where / Cose and m= Sine and the nodal displacement and force components are written with respect to the global axes (xº-yº). - Im - m² 1000 mm A=20 mm² Figure Q1 600 mm - Im 1² Im -1²-Imu₁ - m² Im m² v₁ 0 U1₂ Fº xl FO FO x2 3 Fº 32 Consider the truss network, made from metal alloy with a Young's modulus of 50 GPa, shown in Figure Q1. Global node numbers (1), (2) and (3) are indicated. Find the displacement at node (2), and the reaction force at node (1), using the finite element method. [20] 2 1000 N 1 300 mm A=20 mm² 500 mm 1² AE Im L-1² - Im Im 2 m² Note: For the truss element in a 2D plane, oriented at an angle to the global horizontal axis (xº), the finite element stiffness equation can be written as follows, where / Cose and m= Sine and the nodal displacement and force components are written with respect to the global axes (xº-yº). - Im - m² 1000 mm A=20 mm² Figure Q1 600 mm - Im 1² Im -1²-Imu₁ - m² Im m² v₁ 0 U1₂ Fº xl FO FO x2 3 Fº 32

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