Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Chapter 7, Problem 33P
To determine
Find the required moment of inertia of the beam.
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a) For the truss shown in the figure below, determine the stiffness matrices of elements 2, 3 and 4 in the in the global co-ordinate system. Assume for each member A = 0.0015 m2 and E = 200 GPa. Indicate the degrees-of freedom in all the stiffness matrices.
b) Determine the stiffness matrix of the whole truss in the global co-ordinate system. Clearly indicate the degrees-of freedom numbers in the stiffness matrix.
c) Calculate all the nodal displacements and all the member forces of the truss.
a) Draw a 2D element and show the dofs (degrees of freedom). Draw all the 2D elements used in Strand7. Explain the differences between these elements in terms of the no. of nodes and interpolation/shape functions used.
b) A 8 m x 8 m plate (in the xy plane) with 8 mm thickness, is fixed at all the edges and is loaded by a pressure loading of 4 kN/m2 in the downward (-z) direction. The plate is made of steel (E = 200 GPa, density = 7850 kg/m3). Explain the steps involved in setting up a Strand7 model for this problem. Your explanation should include how the given input data for this problem will be used in Strand7 modelling. Explain how you would determine the maximum deflection from the Strand7 output.
For the truss shown in Fig 2, determine the nodal displacement and member forces using the stifness method for all elements of the truss. Assume for each member A = 0.0015 m2 and E = 200 GPa
Chapter 7 Solutions
Structural Analysis, SI Edition
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
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