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

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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
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 × 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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