Question

3.2 The cantilever beam is supported by a spring at the end as shown in the figure. Using FEM, determine the deflection and rotation at the node 2.

          3.2 The cantilever beam is supported by a spring at the end as shown in the figure.
Using FEM, determine the deflection and rotation at the node 2.

Added by Manuel A.

Mechanics of Materials

R. C. Hibbeler 9th Edition

Chapter 12

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Solved by Expert Hafiz Shahzaib

Step 1

- We have a cantilever beam with two nodes. - Node 1 is fixed (clamped support at left end). - Node 2 has a spring support with spring constant k. - Beam properties: length L, elastic modulus E, moment of inertia I. - Load P is applied vertically at node 2. - We Show more…

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Please solve using matrix method (FEM - Finite Element Method). Please double-check your global matrix! 3.2 The cantilever beam is supported by a spring at the end, as shown in the figure. Using FEM, determine the deflection and rotation at node 2. E = 1