Parvinbhai 3. Determine the displacement and slope (i.e. 0) at the load point for the stepped beamshown in the following figure. Also determine the reaction forces and moments. Eachelement has E = 200 GPa. The area moment of inertia are given as I₁ = 1.25 x 105mm, and I2 = 4 x 104 mm. Clearly show the elemental stiffness matrices (k) foreach element, assembly of k matrices to get global stiffness matrix (K) and application ofboundary conditions. Then solve the reduced K matrix to get displacements and reactions3000 N125 mm150 mm75 mm

Answered: 3. Determine the displacement and slope…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.3.10P: Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.

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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 × 105 mm4, and 2 = 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 150 mm 75 mm 125 mm
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