2. For the beam shown below, let w₁ = 120 N/m, w₁ = 250 N/m, and M = 150 Nm. All dimensions are in m. Wo M ΔΑ AB 0 2 3 4 5 6 7 8 9 m Figure 1 Loaded Simply Supported Beam a. Find the reactions at A and B. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). d. Determine the values of the shear function at 0 m, 1 m, 1.5m, 2.5 m, 4.5 m, 6 m, 7.5 m, 8 m. If the shear function is discontinuous at any of these points, evaluate it at the-and + locations (an infinitesimal distance below and above the indicated location). For example, the shear function should have a step at 1.5 m, so you will find the values at 1.5-m and 1.5+ m. 3. For the beam shown below, let w₁ = 24 N/m and w₁ = 60 N/m. All dimensions are in m. Wa 0 1 2 3 4 5 6 7 m Figure 2 Loaded Cantilever Beam a. Find the reactions at A. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). d. Determine the values of the moment function at 0 m, 1 m, 2.5 m, 3.5 m, 6.5 m. If the moment function is discontinuous at any of these points, evaluate it at the- and + locations. e. Use the data from d. to sketch the moment diagram.

2. For the beam shown below, let w₁ = 120 N/m, w₁ = 250 N/m, and M = 150 Nm. All dimensions are in m. Wo M ΔΑ AB 0 2 3 4 5 6 7 8 9 m Figure 1 Loaded Simply Supported Beam a. Find the reactions at A and B. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). d. Determine the values of the shear function at 0 m, 1 m, 1.5m, 2.5 m, 4.5 m, 6 m, 7.5 m, 8 m. If the shear function is discontinuous at any of these points, evaluate it at the-and + locations (an infinitesimal distance below and above the indicated location). For example, the shear function should have a step at 1.5 m, so you will find the values at 1.5-m and 1.5+ m. 3. For the beam shown below, let w₁ = 24 N/m and w₁ = 60 N/m. All dimensions are in m. Wa 0 1 2 3 4 5 6 7 m Figure 2 Loaded Cantilever Beam a. Find the reactions at A. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). d. Determine the values of the moment function at 0 m, 1 m, 2.5 m, 3.5 m, 6.5 m. If the moment function is discontinuous at any of these points, evaluate it at the- and + locations. e. Use the data from d. to sketch the moment diagram.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.3.10P: A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec...

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