Question

Milestone 3: Since two conditions are considered, equivalent stiffness values for the support structure with and without braces are 36,400 kN/m and 5,240 kN/m, respectively. Neglecting the weight of the braces, the mass of the support structure can be taken as 8 ton. In this part of the project, we provide the basic information of the SDOF system, students are expected to: 1. Compute the natural period and frequency for both structures with and without braces. 2. Considering damping ratios of 1%, 3% and 5 % , repeat step (1). 3. Compare and discuss results in (1) and (2) for the two systems.

Answer 1

| Soutibu Suppot Shucture usit byaeus 3 (400 KN tep 1 frequesoy gives will be K tounes atructre wчere Looo touuues Sos Maturo uey r tructure wif brace 36 400 xj03 Kt 6 4 54 rad Time periodT1? , Tу 67.454 T, - usithout braces'- Auppot ruetuse Giveu K2 Natura 5240x L03 w2 25.als

Alo Tme perioe LT2- 2 R T2 "T2s o.245 5 see 25 S9 dawping Pregueiey Auawe o- 2 Yatios alio Coundered -- Cre wueu 4L be Matural theu aud 2 R ud Ta tine peiod T aumping Ratio J wi tuout usitt braees braces 67 454 adls Wi 2S.59YodS w 2 -0.012 6-44 1 .25-S9 O01 G7 4 51 Tad'se 2S S88 T ad|sj T 0 09 315 Sec Tds - d I -60324s4 d2 1 G7.42 36 a^ /tec- 2 5.684 Todsec wdn = Ta2 O 0932 gee 0 24 S6 sec. Td2 wd 1(o-0s) 2S.S C3 454 25 SS9 Yadtej o.o5 o24S8 Sec Tds = O 09326 Sec

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