Using the direct stiffness matrix method analyse the truss as shown in the figure.
use E= 2 x 105 kN/m2
L = 10 m
A = 0.01 m2
P = 10 kN
at joint B is the hinge and at joint C is the roller.
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13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in figure. Use the stiffness matrix to calculate the unknown displacement (D1 and D2) at the node where the load 5 kN and 10 kN are applied, and then determine the reactions at the pinned supports (Q3, Q4, Q5 and 26). Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant. The supports are pinned. 4....
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2-108 kPa, A=00, I = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A=0.002 m2. Also, take L=6.9 m and w=30 kN/m. Degrees of freedom l- _-2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global structure stiffness matrix. Note that ABC is infinitely rigid in the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2.108 kPa, A = 0,1 = 1.2e – 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 4.8 m and a = 25 kN/m. 0 2 A B C III 7 L 3 4 Degrees of freedom D L -2L Calculate the the bending moment at Joint B following the...
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global stiffness matrix; (b) Calculate the vertical and horizontal displacement at joint B; (c) Calculate the force in members 1 and 5; (d) Calculate the reaction forces. NOTE: Joint A is pinned and Joint D is a roller. AE is constant. Use the chart below for selecting near and far nodes and use the provided coordination numbers. u2 2m 5 2 kN 3 Element 2...
Using the stiffness method, determine the axial forces within members and the displacements of joints of the truss shown in the Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with E= 200 GPa (approx). (Cross members BD and CE are not connected at the middle) (a) Show local stiffness matrices for each member and the assembled global stiffness matrix. Show your step by step solution. (30 Marks) (b) Use an appropriate method...
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Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2 -108 kPa, A = 0,1 = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 6.5 m and o = 41 kN/m. 00 2 B с TIIL TE 3 Degrees of freedom D 2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...