Question: For the one-dimensional bar discretized into three elements as shown in Figure P16-2, determine the lumped- and consistent-mass matrices. Let the bar properties be E,

For the one-dimensional bar discretized into three elements as shown in Figure P16-2, determine the lumped- and consistent-mass matrices. Let the bar properties be E, (, and A throughout the bar.
Figure P16-2

L-

Step by Step Solution

★★★★★

3.24 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Lumped mas... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1414-P-T-H-T(1629).docx

120 KBs Word File

Students Have Also Explored These Related Thermodynamics Questions!

Determine the consistent-mass matrix for the one-dimensional bar discretized into two elements as shown in Figure P16-1. Let the bar have modulus of elasticity E, mass density (, and cross-sectional...

Three lossless lines are connected as shown in Figure. Determine Zin. 3A/4- SA/8 SA/8 /2- Z, = 75 2 z, - 100 2 Zia Z, - 60 - j 35 Z,= 502

For the one-dimensional bar shown in Figure P16-3, determine the natural frequencies of vibration, v's, using two elements of equal length. Use the consistent-mass approach. Let the bar have modulus...

# MPC - Master-Slave Method # MFC: u2-u6 = 1/5 - slave: u6 import numpy as np def MasterStiffnessOfSixElementBar(kbar): K = np.zeros((7, 7)) for (i, row) in enumerate(K): if i == 0: row[i:i+2] =...

the song 245 = h M = 50.5 m =66 . 601 PPM - D. 9450 = 08474 664 18.5 6h - 0625 6P = 06 6 M = 0. S 6 m =0 03 Silver Gold ha = 29.9+ 7 6h = 1 025 1 = 21 95 + 0:29 Da= 19.90 6D= I DY D = 12. $105) D =...

The uniaxial bar shown below can be modeled as a onedimensional bar. The bar has the following properties: $L=1 \mathrm{~m}, A=10^{-4} \mathrm{~m}^{2}, E=100 \mathrm{GPa}$, and \(\alpha=2 \times...

The heat equation for a one-dimensional bar of length L is given by pcut = (Koux)+Q Determine the steady state temperature in the bar for the following cases: Qxe, Ko = 2 (a) ux (0,t) = 0, u(L,t) = 0...

=+Problem 6.4 The stiffness matrix of a clamped-free bar discretized with N elements is a N N tridiagonal matrix of the form: K = k 2 1 0 0 1 2 1 0 1 2 1 0 2 1 0 0 1 1 ...

Question 3 - For the one - dimensional bar shown in figure, determine the natural frequencies of longitudinal vibration using three elements of equal length. Let the bar have E = 3 0 1 0 6 , = 0 . 0...

13. Indicate which configuration is represented at the stereogenic center in ibuprofen. . R b. S . d. Z CH3 ( )-ibuprofen 14. A mixture that is 75% (R)-limonene and 25% (S)-limonene rotates...

The Solution Design, Purchase of the required hardware and software and the installation should be a total of 19 days. The total budgeted amount for these three tasks is $4000. During the completion...

Which of the following best describes the overall impact on the balance sheet if all of the firm's cash was stolen and the loss is not insured?" Select an answer and submit. For keyboard navigation,...

2.57 The average daily cost to community hospitals for patient stays during 2006 for each of the 50 U.S. states was as follows: These data are also provided in the fi le XR02057. Source: Bureau of...

A 30-cm-diameter horizontal pipe is maintained at a constant temperature of 25oC and placed in room air at 20oC. Calculate the free-convection heat loss from the pipe per unit length.

A 12.5 cm-diameter duct is maintained at a constant temperature of 260oC by hot combustion gases inside. The duct is located horizontally in a small warehouse area having an ambient temperature of...

A horizontal cylinder with diameter of 5 cm and length of 3mis maintained at 180oF and submerged in water that is at 60oF. Calculate the heat lost by the cylinder.

Narda Corporation agreed to sell all of its capital stock to Effie Corporation for three monthly payments of $200,000. After Effie made the first required payment, it ceased making other payments....

Hybrid cars are touted as a "green" alternative; however, the financial aspects of hybrid ownership are not as clear. Consider the 2014 Edsel 550h, which had a list price of $5, 900 (including tax...

Which of the following statements is false? A. Redemptions and partial liquidations that qualify as exchanges of the redeemed stock GENERALLY reduce earnings & profits by an amount which does not...