Question 2: Stiffness Method in Structural Analysis. Calculate the moment at the fixed end support for...
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...
SAN4701 OCT/NOV 2017 QUESTION 1 The beam shown in Figure 1 is fixed at support A and support C, support B is a roller support. Use the stiffness matrix method to determine the. Member stiffness matrix 11 1.2 Structure and load matrix (10) 13 Displacement matrix Reactions at the support 14 15. Moments at the fixed supports El is constant along the length of the beam 18 kN 10 kN 20 m 10 m 1 15 m15 m Figure 1...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
And please explain what difference does the roller support at B make. Question 1: Stiffness method Figure Q1 shows a steel beam with length 1 m (The modulus of elasticity is E 210GPa) The beam is fixed at A. Joint B is a rigid roller that can only move up and down but not rotate. Furthermore, Joint B is supported by a vertical spring. (a) Compute the stiffness coefficient associated with the vertical displacement at Joint B. (b) Compute the...
Q2. Statically determinate or indeterminate truss analysis by the stiffness method. (50 marks) a) Determine the stiffness matrix of the whole truss given in problems 14.9 and 14.10 (p. 583). Indicate the degrees-of freedom in all the stiffness matrices. (18 marks) b) Calculate all the nodal displacements and all the member forces for the truss. (16 marks) 14-9. Determine the stiffness matrix K for the trus Take A 0.0015 m2 and E 200 GPa for each member. 2 12 4...
Week 7. Question 1: Use the stiffness method to determine the horizontal and vertical displacements at joint A. For all members, E-206.8 GPa and A - 1290 mm? Take a - 8 mandb-6.1 m B 2 انها 160 kN Solve the problem by following these steps Part 1) Calculate the stiffness matrix of each member in the global coordinate system. Check kna (the value at the second column and second row) in each member stiffness matrix a) Member 1: ky...
Week 9. Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2 -10% kPa, A -00, = 1.2e - 4 m. For the truss member DB, E = 200000000 kPa, A = 0.002 m. Also, take L54 m and w37 kN/m с 7 Degrees of freedom 22 Calculate the the bending moment at Joint B following the steps below. Part 1: Assemble the global structure stiffness matrix. Note that ABC is...
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...
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie at B and a spring at C carries a uniformly distributed load of 72 kN/m on member AB and a concentrated load of 54 kN on member BC. Using the flexibility method and neglect the axial effects in the bcam, (a) perform the global flexibility matrix of the beam structure, (b) calculate the rotation at B and displacement at C, (c) draw the deflection,...