Use the direct stiffness method and calculate the forces, deflections and moments in each node. Mess...
Use the direct stiffness method and calculate the forces, deflections and moments in each node. Mass of UDL = 115 kg E=200 Gpa I= 4 x 10^-5 m^4 The downward arrow's force = 1 128,15 N . UDL wa O ह ह 14 Ri Rz
Calculate the following using THE DIRECT STIFFNESS METHOD : a) The reaction forces, bending moments and deflections at nodes 1, 2 and 3. E=200 Gpa I= 4x10^-5 m^4 The force acting in the center of the beam is 115 kg x 9.81 = 1 128,15 N (2 O2ISM 14 2154
Calculate the following: a) The reaction force, bending moments, deflections and draw shear force and bending moment diagrams. E=200 Gpa I= 4x10^-5 m^4 The force acting in the center of the beam is 115 kg x 9.81 = 1 128,15 N (2 O2ISM 14 2154
Using the stiffness method, Calculate the stiffness matrix of the frame and show all displacements and reactions at node #2. Assume that all joints are fixed. Calculate the all bending moments and show in a diagram. E=200GPa, I=300(106) & A=10(103) 24 kN/m 4m 8m 20 kN 4m 24 kN/m 4m 8m 20 kN 4m
Q2b Using the direct stiffness method, determine for the beam shown: a) the displacements and rotations of the nodes, the shear forces and moments at the nodes b) Subsequently, draw the deflected shape, shear force and bending moment diagrams. 4m rM Take: El 5 X 106 Nm2, F 10 kN and w 4 kN/m.
Use Direct Stiffness Method to calculate Member stiffness Matrices Global Stiffness matrix Displacement 1 OkN/m А B ΕΙ 5m ΕΙ 32kN ΕΙ 5m 2.5m. 2.5m
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
Analyse the beam shown in Figure 4 using the stiffiness method. Node D is fixed and node 2 and 3 are rollers. A uniform distributed load of 1 kN/m is acting on member 1 . And a load of 10 kN is acting at the middle of member2. EI is constant for all members a) Identify the force vector of the structure; [4 marks] b) Identify the displacement vector of the structure; [2 marks] c) Determine the stiffness matrices of...
structural analysis Figure Q() Question 2 For the bar assemblages shown in Figure Q(2), determine the nodal displacements, the forces in each element and the reactions. Use the direct stiffness method (25 marks) 35 kN E-210 GPa 2 A4 x 10m2 1 m im Figure Q() Question 2 For the bar assemblages shown in Figure Q(2), determine the nodal displacements, the forces in each element and the reactions. Use the direct stiffness method (25 marks) 35 kN E-210 GPa 2...
Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed. Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of m. Element 2 has Young's Modulus of 200...