hydrostatic forces on curved surfaces solved problems pdf

Solved problems-Surface Tension; Solved problems-Vapour Pressure; Fluid statics. @����%���g���8A|��c�b�-�����7�D; t+8L�w�����g�����b�9�3X0B�šY��CO�v��4� �u��Pn��#*�/��\ �3#�⋠��h�Ш�9`�0�&�im��#�2�Ur������)rb �GGGG��``� s]: \A�Kƒ +aN�rU#: z`��2���,��J@Z�5��� �P�(� � w����5��9�I00x0�������D��;څy�M�?�O�f��;.Y��ph����l �s��a�^���� H3�G� �s�� %%EOF "�d��������B ��:�6b�]o�]p}7 vl7-s�����a�P7�~0�n��3 *��εc������ �U ;;�\�ה��9�З��:� 9����^��N�%�)�_ �A���X This resultant point force acts compressively, normal to the surface, through a point termed the “center of pressure".

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�Ĩ���r�/$�������[K$�jX��&�R���҅HL-�V�fHPC��#�i���y���$c5`���gˬL�r�-�`w�6�u������Q%˄ �A t�� #�� 1]�x���a����;q�H�' ,BF�^��K�6����/㵒���tA8������ŧ�d��V'����1�� ��l�A��Zk� �7o:uJ�gL����p�}�&��T�j�Lj��Ύ������Q|��6׬N��긇�'��vO ��'i��CY�X�����;`6�]\U#��. 1 0 obj 2. zkis the depth in which the center of gravity of the surface, the centroid, is situated. Fig. Hydrostatic Forces on Curved Surfaces 10/28/2010 5 Pressure Diagram Pressure Diagram 10/28/2010 6 Tensile Stress in a Pipe P e T 1 T 2 F cp c r 1 mZ F = p. 2r . 4 Forces on a curved surface 7 Forces on Curved Surfaces So the magnitude of the force can be determined using the expression for a vertically oriented surface submerged in a fluid. <> endobj <> !'

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<< /Length 5 0 R /Filter /FlateDecode >> In the previous article I discussed how to find the hydrostatic forces on a planar surface. I��I�\��H��-��"E�N�`q��p���]F�Z@�#~X26u�dƓ�� �av��"�aZ`�W���Ϙ�g����%У�1��E��R�k r�"�����P��U6CI ��Y�ϣ�L������I�-�!HRs떮�8�n��cB=1ϮG���Ża�(��(��\pX��� Sample Problem 2 S In a density stratified lake we measure that the density of the lake varies with depth in a manner that can be approximated by the function r(z)=1000+1.1 z … ج�f� Friction effects are negligible too. <>/ExtGState<>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> b shows a free-body diagram of the column of fluid contained in the vertical projection above the curved surface. +���d׺���]>ɇ�6B`!��+p4U�2��Xl�oJY�pRn�Y4�kw89%�feA�ů�ud�T�/��}��.QGnf(2muTF�6\R�Q7�iu��yc�D*%��?���� /KF�e(�#.V��>u��Q�Bڞ4�O�u~^�G�i�0]�N���[����KL���\��)ڔ�DD� ��$# ��~L��ۻ(��w�Ѐ�`��7q�С�G�A�&� ��q�j�'�KGķ�JAn��4�}3��g��`�҅Έ��=��i���X5�����)���6����!-��UtȰ�yr�Ǣq��$S��u��w��I��K?��%�m.��t�kv���Ͱ,-���ґ!D�._M ��t�t5@iѾ,A;��+�� �c��O�A�+S��hW��d Instead, the resultant forces in certain directions may be determined, and these forces may then be combined vectorially. Curved Surfaces. <> %��������� 3. stream 9.4 Resultants of Hydrostatic Pressure Forces Example 2, page 1 of 3 300-mm dia 2. Pressure Prism. endstream endobj startxref %����

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The determination of these forces is important in the design of storage tanks, ships, dams <> endobj For the system shown, determine the weight W that can be supported by the piston at B when a 200-N force is applied to the piston at A. <>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 595.32 841.92] /Contents 4 0 R/Group<>/Tabs/S>> ME 3350 – Spring 18 handout 2.4 HYDROSTATIC FORCE ON A PLANE SURFACE (EXAMPLE) PROBLEM STATEMENT Consider the rectangular gate AB (width: b; length: L) submerged in a fluid of density U.

%PDF-1.5 166 0 obj <>/Filter/FlateDecode/ID[<9AF4233FB942FE459BD47AC4284B97A4><9AF4233FB942FE459BD47AC4284B97A4>]/Index[134 46]/Info 133 0 R/Length 136/Prev 913527/Root 135 0 R/Size 180/Type/XRef/W[1 3 1]>>stream endobj Calculate the vertical force Fy acting on the projected horizontal face. Chapter 3 - Hydrostatic force on a submerged plane surface Note that the magnitude of the force is independent of the angle θ and depends only on the specific weight of the fluid, the total area, and the depth of the centroid of the

If the surface is planar, a single resultant point force is found, mechanically equivalent to the distributed pressure load over the whole surface. x��Ymo�6�n���� Y�Q�T�+�/�5�J���1D?���#L$�&g�B��;�Wj� Sample Problem 2 S When water depth h=5m it is desired that both gates open simultaneously. 4 0 obj ��Ywz:�7����gE%r�[S(��b ��1�}�\}�w��Č���^�^ ��@q��i�Ln�U��$� I�$��VD� ��(��������d��z��U��v=x.�u�ݼ]d;�rY�p�Dp�b�; ���I.��a��KAz�\;���Hq���L�d���Ht�5b꫍�¯� -/gp�����}�� �5Br�֬_3J���}���*�:F:�EhSc=a��9!����۽a*���i�����5pM^, ���6݇Z}�Mj����g�G�c�6�H�J��% 7�+��*0?�����Rg]T��:']B��GϨC�� �qK��A��Xǔ7�:����A �Ʊ�ݴ�J(.C�u {���$D҆�@��F{nS��f+��>Q���������zc�r)�� 9"boZ�RP�)�H�kx� +�c뺳K �.BB�M�h

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