re are, respectively. 800 -800 -800 2400 -1600 kips 1600 4000

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.12P
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Equation 10.76 is : C =a0M+ a1 K

10.10 A three-story building is modeled as shown in
Fig. P10.10. The stiffness matrix and the mass matrix
for the structure are, respectively,
800 -800
K = -800
2400 –1600
kips/in.,
0 -1600 4000
1007
M =|0 20
kip-sec'/in.
Lo0 2
Transcribed Image Text:10.10 A three-story building is modeled as shown in Fig. P10.10. The stiffness matrix and the mass matrix for the structure are, respectively, 800 -800 K = -800 2400 –1600 kips/in., 0 -1600 4000 1007 M =|0 20 kip-sec'/in. Lo0 2
(a) Determine the Rayleigh damping coefficients a, and
a, in Eq. 10.76 such that the 3-DOF system has damping
factors = 52 = 0.01 in its first two modes. (b) What is
the resulting value of the damping factor č, of the third
mode?
m = 1 kip-sec²in.
k = 800 kips/in.
m2 = 2
k2 = 1600 kips/in.
m3 = 2
k3 = 2400 kips/in.
Figure P10.10
Transcribed Image Text:(a) Determine the Rayleigh damping coefficients a, and a, in Eq. 10.76 such that the 3-DOF system has damping factors = 52 = 0.01 in its first two modes. (b) What is the resulting value of the damping factor č, of the third mode? m = 1 kip-sec²in. k = 800 kips/in. m2 = 2 k2 = 1600 kips/in. m3 = 2 k3 = 2400 kips/in. Figure P10.10
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