3. Determine the displacement and slope (i.e. 0) at the load point for the stepped beam shown in the following figure. Also determine the reaction forces and moments. Each element has E = 200 GPa. The area moment of inertia are given as I₁ = 1.25 x 105 mm, and I2 = 4 x 104 mm. Clearly show the elemental stiffness matrices (k) for each element, assembly of k matrices to get global stiffness matrix (K) and application of boundary conditions. Then solve the reduced K matrix to get displacements and reactions 3000 N 125 mm 150 mm 75 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.5.6P: The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of...
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Parvinbhai 

3. Determine the displacement and slope (i.e. 0) at the load point for the stepped beam
shown in the following figure. Also determine the reaction forces and moments. Each
element has E = 200 GPa. The area moment of inertia are given as I₁ = 1.25 x 105
mm, and I2 = 4 x 104 mm. Clearly show the elemental stiffness matrices (k) for
each element, assembly of k matrices to get global stiffness matrix (K) and application of
boundary conditions. Then solve the reduced K matrix to get displacements and reactions
3000 N
125 mm
150 mm
75 mm
Transcribed Image Text:3. Determine the displacement and slope (i.e. 0) at the load point for the stepped beam shown in the following figure. Also determine the reaction forces and moments. Each element has E = 200 GPa. The area moment of inertia are given as I₁ = 1.25 x 105 mm, and I2 = 4 x 104 mm. Clearly show the elemental stiffness matrices (k) for each element, assembly of k matrices to get global stiffness matrix (K) and application of boundary conditions. Then solve the reduced K matrix to get displacements and reactions 3000 N 125 mm 150 mm 75 mm
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