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9ff04cad6ffe11df027c3ff0e69be13f08e85fdb3e22ff008271eafe20d5ff00b23c3fa469fa7ff69ebbaaea7ac5ff00d9fed5a9ea17b7b2cf732fe9fd1401f007fc31bfed15ff004962fdbfff00f0dcff00c12cbffa5a747fc31bfed15ff4962fdbff00ff000dcffc12cbff00a5a75f7fd1401f007fc31bfed15ff4962fdbff00ff000dcffc12cbff00a5a747fc31bfed15ff004962fdbfff00f0dcff00c12cbffa5a75f7fd1401f007fc31bfed15ff004962fdbfff00f0dcff00c12cbffa5a75e01fb2e7fc124f54fd8bbe04f81bf668fd9a3fe0a51fb7ff00c35f825f0d7fe126ff00842bc15ff08fff00c138fc63fd8bff00098f8c7c43e3ff0011ff00c547e3ff00f827a78abc5ba8ff0068f8b7c55af6adff00136d7aff00ec7f6ffb0587d974cb5b2b2b7fd7ea2803e00ff8637fda2bfe92c5fb7fff00e1b9ff0082597ff4b4e8ff008637fda2bfe92c5fb7ff00fe1b9ff82597ff004b4ebeff00a2803e00ff008637fda2bfe92c5fb7ff00fe1b9ff82597ff004b4e8ff8637fda2bfe92c5fb7fff00e1b9ff0082597ff4b4eb

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

51400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451401fffd9}}\par}{\colortbl;\red0\green0\blue0;\red0\green0\blue64;\red0\green0\blue128;\red0\green0\blue192;\red0\green0\blue255;\red0\green64\blue0;\red0\green64\blue64;\red0\green64\blue128;\red0\green64\blue192;\red0\green64\blue255;\red0\green128\blue0;\red0\green128\blue64;\red0\green128\blue128;\red0\green128\blue192;\red0\green128\blue255;\red0\green192\blue0;\red0\green192\blue64;\red0\green192\blue128;\red0\green192\blue192;\red0\green192\blue255;\red0\green255\blue0;\red0\green255\blue64;\red0\green255\blue128;\red0\green255\blue192;\red0\green255\blue255;\red64\green0\blue0;\red64\green0\blue64;\red64\green0\blue128;\red64\green0\blue192;\red64\green0\blue255;\red64\green64\blue0;\red64\green64\blue64;\red64\green64\blue128;\red64\green64\blue192;\red64\green64\blue255;\red64\green128\bl

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\blue192;\red255\green128\blue255;\red255\green192\blue0;\red255\green192\blue64;\red255\green192\blue128;\red255\green192\blue192;\red255\green192\blue255;\red255\green255\blue0;\red255\green255\blue64;\red255\green255\blue128;\red255\green255\blue192;\red255\green255\blue255;}{\phpg\posx1704\pvpg\posy1909\absw4722\absh279 \b \f20 \fs25 \cf0 \b \f20 \fs25\cf0 1. TEMA 5. MÉTODO MATRICIAL \par}{\phpg\posx1704\pvpg\posy2953\absw8320\absh1397 \b \f20 \fs25 \cf0 \b \f20 \fs25 \cf0 1.1 Ejercicios resueltos\par}{\phpg\posx1704\pvpg\posy2953\absw8320\absh1397 \sl-331 \par\b \f20 \fs25 \cf0 {\i \f31 \fs17 {\ul 1}{\ul .}}{\b0\i \f31 \fs17 En}{\b0\i \f31 \fs17 la}{\b0\i \f31 \fs17 cubierta}{\b0\i \f31 \fs17 de}{\b0\i \f31 \fs17 la}{\b0\i \f31 \fs17 figura,}{\b0\i \f31 \fs17 determiar}{\b0\i \f31 \fs17 el}{\b0\i \f31\fs17 valor}{\b0\i \f31 \fs17 de}{\b0\i \f31 \fs17 los}{\b0\i \f31 \fs17 momentos}{\b0\i \f31 \fs17 en }\par}{\phpg\posx1704\pvpg\posy2953\absw8320\absh1397 \sl-299 \b \f20 \fs25 \cf0\fi359 {\b0\i \f31 \fs17 los}{\b0\i \f31 \fs17 extremos}{\b0\i \f31 \fs17 de}{\b0\i \f31 \fs17 las}{\b0\i \f31 \fs17 barras,}{\b0\i \f31 \fs17 así}{\b0\i \f31 \fs17 como}{\b0\i \f31 \fs17 el}{\b0\i \f31 \fs17 momento}{\b0\i \f31 \fs17  máximo}{\b0\i \f31 \fs17 en}{\b0\i \f31 \fs17 ellas. }\par}{\phpg\posx1704\pvpg\posy2953\absw8320\absh1397 \sl-297 \b \f20 \fs25 \cf0\fi359 {\b0\i \f31 \fs17 (E=2.1·10}{\b0\i\dn006 \f31 \fs11 11}{\b0\i \f31 \fs17 N/m }{\b0\i\dn006 \f31 \fs11 2}{\b0\i \f31 \fs17 ,}{\b0\i \f31 \fs17 I=68000}{\b0\i \f31 \fs17 cm}{\b0\i\dn006 \f31 \fs11 4}{\b0\i \f31 \fs17 ,}{\b0\i \f31 \

fs17 A=56}{\b0\i \f31 \fs17 cm }{\b0\i\dn006 \f31 \fs11 2}{\b0\i \f31 \fs17 ) }\par}{\phpg\posx5942\pvpg\posy4946\absw338\absh138 \f20 \fs12 \cf0 \f20 \fs12 \cf0 EI, A \par}{\shp\shpleft7846\shptop5119\shpright8000\shpbottom5227\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 m \par}}

{\shp\shpleft7846\shptop5264\shpright8000\shpbottom5334\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 1 \par}}{\phpg\posx5560\pvpg\posy5412\absw338\absh138 \f20 \fs12 \cf0 \f20 \fs12 \cf0 EI, A \par}{\shp\shpleft7837\shptop5462\shpright7990\shpbottom5570\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}

{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 m \par}}{\shp\shpleft7837\shptop5608\shpright7990\shpbottom5677\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}

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{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 1 \par}}{\phpg\posx6170\pvpg\posy5990\absw464\absh138 \f20 \fs12 \cf0 \f20 \fs12 \cf0 3kN/m \par}{\shp\shpleft4090\shptop6140\shpright4244\shpbottom6455\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 kN/m \par}}{\shp\shpleft7846\shptop6361\shpright8000\shpbottom6469\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 m \par}}{\shp\shpleft4090\shptop6491\shpright4244\shpbottom6560\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}

{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 2 \par}}{\phpg\posx5167\pvpg\posy6672\absw416\absh138 \f20 \fs12 \cf0 \f20 \fs12 \cf0 2EI, A \par}{\shp\shpleft7846\shptop6505\shpright8000\shpbottom6678\shpz0\shpfhdr0\shpbxpage\shpbypage\shpwr3\shpwrk0\shpfblwtxt0{\*\shpinst {\sp{\sn fLine}{\sv 0}}{\sp{\sn shapeType}{\sv 202}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn txflTextFlow}{\sv 2}}}{\shptxt \f20 \fs11 \cf0 2.5 \par}}{\phpg\posx5892\pvpg\posy7985\absw338\absh138 \f20 \fs12 \cf0 \f20 \fs12 \cf0 4.5 m \par

}{\phpg\posx1703\pvpg\posy8537\absw5622\absh608 \f11 \fs17 \cf0 \f11 \fs17 \cf0 En primer lugar, definimos los nudos y los grados de libertad de la estructura.\par}{\phpg\posx1703\pvpg\posy8537\absw5622\absh608 \sl-156 \par\par\f11 \fs17 \cf0 \fi141 {\f20 \fs10 8 }\par}{\phpg\posx2136\pvpg\posy9283\absw73\absh114 \f20 \fs10 \cf0 \f20 \fs10 \cf0 7 \par}{\phpg\posx1795\pvpg\posy9393\absw311\absh781 \f20 \fs10 \cf0 \f20 \fs10 \cf0 9\par}{\phpg\posx1795\pvpg\posy9393\absw311\absh781 \sl-140 \par\f20 \fs10 \cf0 \fi50 5 C\par}{\phpg\posx1795\pvpg\posy9393\absw311\absh781 \sl-154 \par\f20 \fs10 \cf0 6

 \par}{\phpg\posx1795\pvpg\posy9393\absw311\absh781 \sl-151 \f20 \fs10 \cf0 \fi59 B \par}{\phpg\posx3943\pvpg\posy9496\absw140\absh114 \f20 \fs10 \cf0 \f20 \fs10 \cf0 10 \par}{\phpg\posx2136\pvpg\posy9871\absw73\absh114 \f20 \fs10 \cf0 \f20 \fs10 \cf0 4 \par}

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{\phpg\posx3600\pvpg\posy9300\absw206\absh658 \f20 \fs10 \cf0 \fi52 \f20 \fs10 \cf0 11\par}{\phpg\posx3600\pvpg\posy9300\absw206\absh658 \sl-152 \par\f20 \fs10 \cf0 12\par}{\phpg\posx3600\pvpg\posy9300\absw206\absh658 \sl-150 \par\f20 \fs10 \cf0 \fi115 D \par}{\phpg\posx1785\pvpg\posy11196\absw192\absh673 \f20 \fs10 \cf0 \fi52 \f20 \fs10\cf0 2\par}{\phpg\posx1785\pvpg\posy11196\absw192\absh673 \sl-152 \par\f20 \fs10 \cf03\par}{\phpg\posx1785\pvpg\posy11196\absw192\absh673 \sl-158 \par\f20 \fs10 \cf0\fi100 A \par}{\phpg\posx2128\pvpg\posy11392\absw73\absh114 \f20 \fs10 \cf0 \f20 \fs10 \cf0 1\par}{\phpg\posx1704\pvpg\posy12321\absw7319\absh202 \f11 \fs17 \cf0 \f11 \fs17 \cf0Las características necesarias para calcular las matrices de rigidez se resumen en la tabla siguiente. \par}{\phpg\posx3758\pvpg\posy12835\absw613\absh2054 \f11 \fs17 \cf0 \f11 \fs17 \cf0BARRA\par}{\phpg\posx3758\pvpg\posy12835\absw613\absh2054 \sl-256 \par\f11 \fs17 \cf0

 AB\par}{\phpg\posx3758\pvpg\posy12835\absw613\absh2054 \sl-256 \par\f11 \fs17 \cf0 BC\par}{\phpg\posx3758\pvpg\posy12835\absw613\absh2054 \sl-258 \par\f11 \fs17 \cf0 BD\par}{\phpg\posx3758\pvpg\posy12835\absw613\absh2054 \sl-256 \par\f11 \fs17 \cf0 CD \par}{\phpg\posx4845\pvpg\posy12835\absw416\absh2054 \f11 \fs17 \cf0 \f11 \fs17 \cf0L (m)\par}{\phpg\posx4845\pvpg\posy12835\absw416\absh2054 \sl-256 \par\f11 \fs17 \cf0 2.5\par}{\phpg\posx4845\pvpg\posy12835\absw416\absh2054 \sl-256 \par\f11 \fs17 \cf0

 2\par}{\phpg\posx4845\pvpg\posy12835\absw416\absh2054 \sl-258 \par\f11 \fs17 \cf0 4.61\par}{\phpg\posx4845\pvpg\posy12835\absw416\absh2054 \sl-256 \par\f11 \fs17 \cf0 4.61 \par}{\phpg\posx5659\pvpg\posy12835\absw590\absh2054 \f11 \fs17 \cf0 \f11 \fs17 \cf0I (cm{\dn006 \fs11 4})\par}{\phpg\posx5659\pvpg\posy12835\absw590\absh2054 \sl-256 \par\f11 \fs17 \cf0 136000\par}{\phpg\posx5659\pvpg\posy12835\absw590\absh2054 \sl-256 \par\f11 \fs17 \cf0 136000\par}{\phpg\posx5659\pvpg\posy12835\absw590\absh2054 \sl-258 \par\f11 \fs17 \cf0

 68000\par}{\phpg\posx5659\pvpg\posy12835\absw590\absh2054 \sl-256 \par\f11 \fs17 \cf0 - \par}{\phpg\posx6640\pvpg\posy12835\absw520\absh2054 \f11 \fs17 \cf0 \f11 \fs17 \cf0A(cm{\dn006 \fs11 2})\par}{\phpg\posx6640\pvpg\posy12835\absw520\absh2054 \sl-256 \par\f11 \fs17 \cf0 56\par}{\phpg\posx6640\pvpg\posy12835\absw520\absh2054 \sl-256 \par\f11 \fs17 \cf0 56

8/18/2019 Ejercicios Calculo de Estructuras I-tema 5

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\par}{\phpg\posx6640\pvpg\posy12835\absw520\absh2054 \sl-258 \par\f11 \fs17 \cf0 56\par}{\phpg\posx6640\pvpg\posy12835\absw520\absh2054 \sl-256 \par\f11 \fs17 \cf0 56 \par}{\phpg\posx7608\pvpg\posy12835\absw737\absh2054 \f11 \fs17 \cf0 \f11 \fs17 \cf0ANGULO\par}{\phpg\posx7608\pvpg\posy12835\absw737\absh2054 \sl-256 \par\f11 \fs17 \cf0 90\par}{\phpg\posx7608\pvpg\posy12835\absw737\absh2054 \sl-256 \par\f11 \fs17 \cf0 90\par}{\phpg\posx7608\pvpg\posy12835\absw737\absh2054 \sl-258 \par\f11 \fs17 \cf0 12.5288\par}{\phpg\posx7608\pvpg\posy12835\absw737\absh2054 \sl-256 \par\f11 \fs17 \cf0 -12.5588 \par}\sect\sectd\pard\plain\pgwsxn11900\pghsxn16840{\phpg\posx0\pvpg\posy0\absw11900\absh16840 \overlay{\*\shppict {\pict\jpegblip\picw595 \pich842\picwgoal11900 \pichgoal16840\picscalex135 \picscaley135ffd8ffe000104a46494600010100000100010000ffdb00430001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

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