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<h2 class="hd hd-2 unit-title">3.1 Bernoulli sequence and return period</h2>
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<h3 class="hd hd-2">Video</h3>
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<h2 class="hd hd-2 unit-title">3.2 Determination of design value corresponding to a certain return period</h2>
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<h3 class="hd hd-2">Video</h3>
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<h2 class="hd hd-2 unit-title">3.3 Poisson process</h2>
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<h2 class="hd hd-2 unit-title">Chapter 3 Homework</h2>
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<p style="margin: 0in; text-align: justify; text-justify: inter-ideograph;"><b><span style="font-family: 'Times New Roman',serif;">Problem: </span></b><span style="font-family: 'Times New Roman',serif;">A structure with a design life of 50 year is planned for a site where high-intensity earthquakes may occur with a return period of 100 yr. The structure is designed to have a 0.99 probability of not suffering damage within its design life. Damage effects between earthquakes are statistically independent<o:p></o:p></span></p>
<p style="margin: 0in; text-align: justify; text-justify: inter-ideograph; text-indent: 0in; mso-list: l0 level1 lfo1;"><!-- [if !supportLists]--><span style="font-family: 'Times New Roman',serif;"><span style="mso-list: Ignore;">(1)<span style="font: 7.0pt 'Times New Roman';"> </span></span></span><!--[endif]--><span style="font-family: 'Times New Roman',serif;">If the occurrence of high-intensity earthquakes at the site is modeled by a Bernoulli sequence, what is the probability of damage to the structure under a single earthquake?<o:p></o:p></span></p>
<p style="margin: 0in; text-align: justify; text-justify: inter-ideograph; text-indent: 0in; mso-list: l0 level1 lfo1;"><!-- [if !supportLists]--><span style="font-family: 'Times New Roman',serif;"><span style="mso-list: Ignore;">(2)<span style="font: 7.0pt 'Times New Roman';"> </span></span></span><!--[endif]--><span style="font-family: 'Times New Roman',serif;">Using the damage probability to a single earthquake from Part(a), what would be the probability of damage to the structure in the next 20 year, assuming that the occurrences of earthquakes constitute a Poisson process.<o:p></o:p></span></p>
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