Consider the portal frame given below. The beam is infinitely rigid. The properties assigned are, column...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the portal frame given below. The beam is infinitely rigid. The properties assigned are, column size: 0.30x0.40 m (long dimension is on lateral resistance), E=30,000 N/mm², h=3.0 m and m=100 tons. Damping ratio for the frame is =5 %. The frame is located on a seismically active region and S,= 0.226 and S₁= 0.895 according to Turkish Seismic Hazard Map (2018). Els= ∞ 3m 3m 3m EI, 00 El, ∞ m=100 tons m=100 tons m=100 tons E-30000 MPa IMP-IN/mm 2 300 mm 41 400 mm Column Cross-Section 4m Fault 1 Strike Slip Mw 7.0 EQ Epicenter Station R 25 km R-10 km Construction Site a) (20 pts) Write down the equation of motion for the frame given above. Obtain the natural frequencies, periods, mode shapes, mass normalized mode shapes and effective modal masses. I=[1; 1; 1] b) (20 pts) Assume that a magnitude M 7.0 earthquake happened at the given epicenter location near the building. Use Akkar and Bommer (2010) GMPE relationship for strike-slip fault to estimate the elastic displacements, shear and moment forces for [1; 1; 1] and mode where the effective modal mass is highest. Assume that Sa(T)-Sa(0.2s) and same for all modes. What is the probability of Sa(0.2s)>0.4g. (Oiny = 0.695). Consider the portal frame given below. The beam is infinitely rigid. The properties assigned are, column size: 0.30x0.40 m (long dimension is on lateral resistance), E=30,000 N/mm², h=3.0 m and m=100 tons. Damping ratio for the frame is =5 %. The frame is located on a seismically active region and S,= 0.226 and S₁= 0.895 according to Turkish Seismic Hazard Map (2018). Els= ∞ 3m 3m 3m EI, 00 El, ∞ m=100 tons m=100 tons m=100 tons E-30000 MPa IMP-IN/mm 2 300 mm 41 400 mm Column Cross-Section 4m Fault 1 Strike Slip Mw 7.0 EQ Epicenter Station R 25 km R-10 km Construction Site a) (20 pts) Write down the equation of motion for the frame given above. Obtain the natural frequencies, periods, mode shapes, mass normalized mode shapes and effective modal masses. I=[1; 1; 1] b) (20 pts) Assume that a magnitude M 7.0 earthquake happened at the given epicenter location near the building. Use Akkar and Bommer (2010) GMPE relationship for strike-slip fault to estimate the elastic displacements, shear and moment forces for [1; 1; 1] and mode where the effective modal mass is highest. Assume that Sa(T)-Sa(0.2s) and same for all modes. What is the probability of Sa(0.2s)>0.4g. (Oiny = 0.695).
Expert Answer:
Answer rating: 100% (QA)
Answers a The equation of motion for the frame can be written as Md2xdt2 Cdxdt Kx F Where M is the m... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
a) Write down the equation of a utility function that corresponds to a risk-neutral decision maker. (Note: there are many possible answers to this part and the next two parts.) b) Write down the...
-
A steel beam of rectangular cross section is 40 mm wide and 80 mm high (see figure). The yield stress of the steel is 210 MPa. (a) What percent of the cross-sectional area is occupied by the elastic...
-
4m 5 / 2 3m + 1 / 3 = 5/6
-
ABC Corporation earned $300,000 in profit in the current tax year, which is significantly higher than its previous year's earnings. Thus, its shareholders expected large dividends in the current...
-
Iris Plant owns and operates three floral shops in Magnolia, Texas. The accounting functions are performed manually. Each of the shops has a manager who oversees the cash receipts and purchasing...
-
A 65-Cpoint charge is at the origin. Find the electric field at the points (a) x =50 cm, y =0 cm; (b) x =50 cm, y =50 cm; (c) x =25 cm, y =-75 cm.
-
Dave Parrett, sales manager for Ace Chemicals, is wrestling with the issue of how to get Kay Powers back on track. Kay has been with the company for 20 years. Historically, she had been one of the...
-
Assume the following financial data for Rembrandt Paint Co. and Picasso Art Supplies: a. If all the shares of Rembrandt Paint Co. are exchanged for those of Picasso Art Supplies on a share-for-share...
-
The following information relates to the Jasmine Company for the upcoming year, based on 418,000 units: Sales Cost of goods sold Gross margin Operating expenses Operating profits 6,688,000 Amount $...
-
We have a digital medium with a data rate of 10 Mbps. How many 64-kbps voice channels can be carried by this medium if we use DSSS with the Barker sequence?
-
Your portfolio consists of two stocks. Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market:...
-
What is the difference between nominal and real interest rate? With reference to specific cases explain how the courts have determined the discount rate in your country. Should the courts use rate on...
-
What is Rule 10b- 5? Discuss the salient provisions of the rule for financial market stability.
-
What is the importance of exchange rates in judicial awards? Explain the difference between the breach date and the judgment date. Should plaintiffs be compensated for exchange rate volatility? Why?...
-
Was the Abu Dhabi formula inhibitive and akin to indirect expropriation? Could there have been a public purpose for Decree Law No. 124? Why? What are some of the economic and investment implications...
-
Why was the investment of Professor Willoughby taxed (see IRC v. Willoughby (1997))? Could his investment have been taxed under the FATCA (assuming he was a US citizen in 2011)? Why?
-
Find the linear demand equation for this market. Explain what the slope tells us about this market. What range of prices will the company want to charge in order to sell their product? Find the...
-
Draw and label the E and Z isomers for each of the following compounds: 1. CH3CH2CH==CHCH3 2. 3. 4. CH,CH2C CHCH2CH Cl CH3CH2CH2CH2 CH CH2CCCH2CI CHCH3 CH3 HOCH CH CCC CH O-CH C(CH
-
For electrons with an energy >> mc2, where m is the rest mass of the election, the energy is given by pc, where p is the momentum. For electrons in a cube of volume V = L3 the momentum is of the...
-
Consider an ideal gas of N particles, each of mass M, confined to a one-dimensional line of Length L. find the entropy at temperature . The particles have spin zero
-
Show for a single orbital of a fermion system that = (1 ), If is the average number of fermions in that orbital. Notice that the fluctuation vanishes for orbitals with energies deep enough below....
-
Calculate: (a) \(f=a /(b c)\), where \(a=2.34\mathrm{~mm}^{2}, b=54.26\mathrm{~m}\), and \(c=0.14\mu \mathrm{m}\); (b) \(g=k t^{3}\), where \(k=1.208\times 10^{-2}\mathrm{~s}^{-3}\) and...
-
Which of these is a hierarchical approach of subordination of individuals that work together and contribute to serve a common goal? Formal organization Informal structures Functional structure ...
-
A sound organization Prevents corruption Enhances creativity None of the above All of the above
Study smarter with the SolutionInn App