Question 1 (40 marks) Calculate the displacements,U, and V, of the truss structure shown below. B...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
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2. A truss assembly shown in Figure Q2 below is made of aluminum alloy that has a modulus of elasticity, E = 69 GPa. member is 225 mm2 The cross sectional area of each 4300 N (0, 40) m (40, 40) m 2 500 N 3 (0, 0) FIGURE Q2 Determine the global stiffness matrix for the truss assembly. a. [10 marks] Determine the displacement at node 3. b....
A plane structure consists of three truss elements connected to four nodes, as shown below. All trusses have cross sectional area A -7.104 m2 and elastic modulus E = 210 GPa. The length of each truss element is L = 1 m. A point force, P -5 kN, is acting on node 4 L/2 3.1 Calculate the displacements at the nodes 3.2 Calculate the reaction forces 3.3 Calculate the stress in each bar
A plane structure consists of three truss...
3. A two bar truss structure is shown in Figure 1. The coordinates of Points A, C and B are given by (0,0), (0, 10") and (10",0), respectively, in which the x-axis is from A to B and the y-axis is from A to C. Points A and C are fixed. The cross-sectional area of all members in inch?. A vertical point load, P, is applied at the tip of the structure, Point B. Based upon either the Principle of...
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,...
Question 4 The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss. b) Determine the horizontal and vertical displacements at node 4. c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 600 4 3 1.5m...
Analyse the ten members truss structure shown in Figure 02 using Compatibility Method and calculate the axial force acting on member EC Take the Young's Modulus and the cross-sectional area of each member to be constant. 2(a) (15 marks 5 m 20 35 kN Figure Q2: Ten members truss b) Find the force in member BC 3 marks) Find the force in member BF 2 marks)
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
The members of the truss shown below have a cross
sectional area of 0.0002m^2 and Young's modulus of E=69GPa.
Determine the deflection at each joint using Finite Element
Method.
500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
Problem 1 Analyze the truss structure (statically determinate) shown below. The diameter of the circular truss members is 4 cm. The material used has an elastic modulus E-160GPa 1. Calculate the forces in each truss member. 2. Calculate the horizontal and vertical displacements 1 KN of the truss nodes B and C Calculate the margin of safety. Note: Tension members can fail by stress failure and compression members can fail by stress failure or buckling. 3. 1.732 m 2 KN...