<div class="xblock xblock-public_view xblock-public_view-vertical" data-graded="False" data-has-score="False" data-runtime-class="LmsRuntime" data-init="VerticalStudentView" data-course-id="course-v1:ISSMGE+TC304-105+2021" data-request-token="0084f4701e3311f0b29a12f37cb8768e" data-runtime-version="1" data-usage-id="block-v1:ISSMGE+TC304-105+2021+type@vertical+block@0bf83707c35b45828925b9764acf7613" data-block-type="vertical">
<h2 class="hd hd-2 unit-title">Load and Resistance Factor Design(II)</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:ISSMGE+TC304-105+2021+type@video_xblock+block@c932b01a96e54c8e8c1892fdaa5c6530">
<div class="xblock xblock-public_view xblock-public_view-video_xblock" data-graded="False" data-has-score="False" data-course-id="course-v1:ISSMGE+TC304-105+2021" data-request-token="0084f4701e3311f0b29a12f37cb8768e" data-usage-id="block-v1:ISSMGE+TC304-105+2021+type@video_xblock+block@c932b01a96e54c8e8c1892fdaa5c6530" data-block-type="video_xblock">
<h3 class="hd hd-2">Video</h3>
<iframe
id="xblock-video-player-block-v1:ISSMGE+TC304-105+2021+type@video_xblock+block@c932b01a96e54c8e8c1892fdaa5c6530"
src="/courses/course-v1:ISSMGE+TC304-105+2021/xblock/block-v1:ISSMGE+TC304-105+2021+type@video_xblock+block@c932b01a96e54c8e8c1892fdaa5c6530/handler/render_player#block-v1:ISSMGE+TC304-105+2021+type@video_xblock+block@c932b01a96e54c8e8c1892fdaa5c6530"
frameborder="0"
scrolling="no"
allowfullscreen
mozallowfullscreen
webkitallowfullscreen
width="100%"
height="600px"
>
</iframe>
<ul class="wrapper-downloads-custom">
</ul>
<div id="xblock-info" class="is-hidden">
Version: 0.10.1
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-graded="False" data-has-score="False" data-runtime-class="LmsRuntime" data-init="VerticalStudentView" data-course-id="course-v1:ISSMGE+TC304-105+2021" data-request-token="0084f4701e3311f0b29a12f37cb8768e" data-runtime-version="1" data-usage-id="block-v1:ISSMGE+TC304-105+2021+type@vertical+block@37dc33287d1d417a8b531aa00bb678f4" data-block-type="vertical">
<h2 class="hd hd-2 unit-title">Chapter 9 Homework</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:ISSMGE+TC304-105+2021+type@html+block@cc35259b048d46949db05b957a331b82">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlModule" data-graded="False" data-has-score="False" data-runtime-class="LmsRuntime" data-init="XBlockToXModuleShim" data-block-type="html" data-request-token="0084f4701e3311f0b29a12f37cb8768e" data-runtime-version="1" data-usage-id="block-v1:ISSMGE+TC304-105+2021+type@html+block@cc35259b048d46949db05b957a331b82" data-type="HTMLModule" data-course-id="course-v1:ISSMGE+TC304-105+2021">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p style="margin:0in;text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:normal"><span style="mso-bidi-font-size:16.0pt;
font-family:"Times New Roman",serif;mso-fareast-font-family:DengXian;
mso-fareast-theme-font:minor-fareast;mso-font-kerning:12.0pt">Problem:</span></b><span style="mso-bidi-font-size:16.0pt;font-family:"Times New Roman",serif;
mso-fareast-font-family:DengXian;mso-fareast-theme-font:minor-fareast;
mso-font-kerning:12.0pt"> Considering the following shallow foundation, where its bearing capacity can be calculated using the following equations.<o:p></o:p></span></p>
<p><img height="199" width="579" src="/assets/courseware/v1/b7064240a0f9591f170f6dc84f8248bd/asset-v1:ISSMGE+TC304-105+2021+type@asset+block/shallow-foundation-chapter-9.JPG" alt="shallow foundation" /></p>
<p style="margin: 0in; text-align: justify; text-justify: inter-ideograph;"><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">Suppose the cohesion (<i>c</i>) and friction angle (</span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">φ</span></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">) both follow the normal distribution with </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">μ</span></i><i><sub><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">c</span></sub></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">= 20 kPa, </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">σ</span></i><i><sub><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">c</span></sub></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">= 5 kPa, </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">μ</span></i><i><sub><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">φ</span></sub></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">= 30<sup>o</sup>, and </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">σ</span></i><i><sub><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">φ</span></sub></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">= 6<sup>o</sup>, respectively. The correlation coefficient between <i>c</i> and </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">φ</span></i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;"> </span><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">is -0.5. The unit weight of the soil is </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">γ</span></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;"> = 20 kN/m<sup>3</sup></span><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif;">. Suppose the target reliability index of the foundation is 3.0. </span><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 12.0pt;">Determine:</span><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; color: #0070c0;"><o:p></o:p></span></p>
<p class="MsoListParagraph" style="margin-left: 0in; text-align: justify; text-justify: inter-ideograph; text-indent: 24.0pt; mso-list: l0 level1 lfo1;"><!-- [if !supportLists]--><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;">(1)<span style="font: 7.0pt 'Times New Roman';"> </span></span></span><!--[endif]--><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt;">The value of <i>B</i>;</span><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif;"><o:p></o:p></span></p>
<p class="MsoListParagraph" style="margin-left: 0in; text-align: justify; text-justify: inter-ideograph; text-indent: 24.0pt; mso-list: l0 level1 lfo1;"><!-- [if !supportLists]--><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;">(2)<span style="font: 7.0pt 'Times New Roman';"> </span></span></span><!--[endif]--><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt;">The resistance factor for <i>c</i> and </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">φ</span></i><i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt;">, </span></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt;">assuming </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">λ</span></i><i><sup><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; position: relative; top: 6.0pt; mso-text-raise: -6.0pt; mso-font-kerning: 12.0pt;">c</span></sup></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt;"><span style="mso-spacerun: yes;"> </span>= </span><i><span lang="EL" style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt; mso-ansi-language: EL;">λ<sup><span style="position: relative; top: 6.0pt; mso-text-raise: -6.0pt;">φ</span></sup></span></i><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif; mso-font-kerning: 12.0pt;"><span style="mso-spacerun: yes;"> </span>= 1.0.</span><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif;"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="mso-bidi-font-size: 16.0pt; font-family: 'Times New Roman',serif;"><o:p> </o:p></span></p>
</div>
</div>
</div>
</div>