Question

Problem 1.5 Determine the natural frequency of the fixed beam in Fig. P1.5 carrying a concentrated weight W at its center. Neglect the mass of the beam. W EI L/2 L/2 u Fig. P1.5 Problem 1.6 The numerical values for Problem 1.5 are given as: L = 120 in. EI = 10^9 (lb.in^2), W = 5000 lb, with initial conditions u0 = 0.5 in and v0 = 15 in/sec. Determine the displacement, velocity, and acceleration of W at t = 2 sec later. Plot the responses (i.e., displacement, velocity, and acceleration) using MATLAB and determine the maximum amplitude.

          Problem 1.5
Determine the natural frequency of the fixed beam in Fig. P1.5 carrying a concentrated weight W at its center. Neglect the mass of the beam.

W
EI
L/2
L/2
u
Fig. P1.5
Problem 1.6
The numerical values for Problem 1.5 are given as: L = 120 in. EI = 10^9 (lb.in^2), W = 5000 lb, with initial conditions u0 = 0.5 in and v0 = 15 in/sec. Determine the displacement, velocity, and acceleration of W at t = 2 sec later. Plot the responses (i.e., displacement, velocity, and acceleration) using MATLAB and determine the maximum amplitude.

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Problem 1.5
Determine the natural frequency of the fixed beam in Fig. P1.5 carrying a concentrated weight W at its center. Neglect the mass of the beam.

W
EI
L/2
L/2
u
Fig. P1.5
Problem 1.6
The numerical values for Problem 1.5 are given as: L = 120 in. EI = 10^9 (lb.in^2), W = 5000 lb, with initial conditions u0 = 0.5 in and v0 = 15 in/sec. Determine the displacement, velocity, and acceleration of W at t = 2 sec later. Plot the responses (i.e., displacement, velocity, and acceleration) using MATLAB and determine the maximum amplitude.

Added by Sean S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hunza Gilgit

Step 1

5, the natural frequency of a beam with a concentrated weight at its center can be determined using the formula for the natural frequency of a simple pendulum, which is given by: ωn = sqrt(W / (EI * L^3 / 48)) where: - W is the weight of the load, - EI is the Show more…

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Problem 1.5: Determine the natural frequency of the fixed beam in Fig. P1.5 carrying a concentrated weight W at its center. Neglect the mass of the beam. Problem 1.6: The numerical values for Problem 1.5 are given as: L = 120 in., EI = 10^9 lb.in^2, W = 5000 lb, with initial conditions u0 = 0.5 in and v0 = 15 in/sec. Determine the displacement, velocity, and acceleration of W at t = 2 sec later. Plot the responses (i.e., displacement, velocity, and acceleration) using MATLAB and determine the maximum amplitude.

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