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 … Solve all problems using the finite element stiffness method.For the beams shown in Figure P4- 22 determine the nodal displacements and slopes, the forces in each element, and the reactions. 0000000771 00000 n
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 These axial effects can be accounted for by simply treating the beam element as a truss element in the axial direction. "F$H:R��!z��F�Qd?r9�\A&�G���rQ��h������E��]�a�4z�Bg�����E#H	�*B=��0H�I��p�p�0MxJ$�D1��D, V���ĭ����KĻ�Y�dE�"E��I2���E�B�G��t�4MzN�����r!YK� ���?%_&�#���(��0J:EAi��Q�(�()ӔWT6U@���P+���!�~��m���D�e�Դ�!��h�Ӧh/��']B/����ҏӿ�?a0n�hF!��X���8����܌k�c&5S�����6�l��Ia�2c�K�M�A�!�E�#��ƒ�d�V��(�k��e���l
����}�}�C�q�9 �ꇆ��n���Q�t�}MA�0�al������S�x	��k�&�^���>�0|>_�'��,�G! Step 2: Obtain the Stiffness Coefficients by the ‘unit displacement method’. �x������- �����[��� 0����}��y)7ta�����>j���T�7���@���tܛ�`q�2��ʀ��&���6�Z�L�Ą?�_��yxg)˔z���çL�U���*�u�Sk�Se�O4?׸�c����.� � �� R�
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 Step 3: Form the matrix equations (that correspond to the free joint rotational DOFs), and solve for the joint rotations. 0000000016 00000 n
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 10 ft 10 ft- Figure P4-22 ��w�G�	xR^���[�oƜch�g�`>b���$���*~� �:����E���b��~���,m,�-��ݖ,�Y��¬�*�6X�[ݱF�=�3�뭷Y��~dó	���t���i�z�f�6�~`{�v���.�Ng����#{�}�}��������j������c1X6���fm���;'_9	�r�:�8�q�:��˜�O:ϸ8������u��Jq���nv=���M����m����R 4	� 0000002730 00000 n
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 Identify and label the nodes and the elements. 0000008028 00000 n
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 For each element select a start node (node 1) and an end node (node 2). 0000005358 00000 n
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 the stiffness method can be used to solve the problem by transforming element stiffness matrices from the LOCAL to GLOBAL coordinates. Note that in addition to the usual bending terms, we will also have to account for axial effects . endstream
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 27.5 Solution of equilibrium equations. 4000 lb/ft E = 29 x 10 psi I = 150 in. )Use the direct stiffness method for beam structures, but you need to show two different procedures: (A) The 5-step procedure: Step 1: Analysis of the Restrained Structure. 0000005314 00000 n
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