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 area below the surface. ��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 <>/Metadata 217 0 R/ViewerPreferences 218 0 R>> endobj 2. zkis the depth in which the center of gravity of the surface, the centroid, is situated. Instead, the resultant forces in certain directions may be determined, and these forces may then be combined vectorially. �A t�� #�� !' ��6Ū������/�B*�vP��Y 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 . This resultant point force acts compressively, normal to the surface, through a point termed the “center of pressure". 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. Calculate the horizontal force Fx acting on the projected vertical face. The product (γ.zk), is the hydrostatic pressure at the … <> �����X�+�� J�D.��q�U)
endstream endobj startxref Hydrostatic forces on curved surfaces The resultant pressure force on a curved surface is computed by separating it into horizontal and vertical components, as shown in the Figure a. 2 0 obj stream Pressure Prism. ج�f� Curved Surfaces. 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. %%EOF Hydraulically-operated equipment is designed to transform a relatively small input force into a much larger output force.
179 0 obj <>stream 3. Its magnitude is: F=γzkA, where: 1. γ is the fluid's specific gravity. x��Ymo�6�n���� Force on a Curved Surface due to Hydrostatic Pressure If the surface is curved, the forces on each element of the surface will not be parallel (normal to the surface at each point) and must be combined using some vectorial method.
4 0 obj x��ZYoI~���ǙH����l���x�+6Vv�����b��*�~�z c��3�l�3�UUW}u�;���u�?e��m�L���m9`_����o����Y��n؛ލ���WS���� ����lw����\�_�� ���b㲵�� ��v������^��$�#�d^q���sǺ�pˇ�n&���g���Ck�Kv�cݿZ[X�Skkc���[F�`3��4(A�����`A �_2m ���b�a�U)�si�wB���4�H�=�&u��+��"�&{��:��m� ���)�y�f��q�N"5�p\���0Aq[���E���0�� #0�#��2d���J�rh�*.L����B! If the surface is planar, a single resultant point force is found, mechanically equivalent to the distributed pressure load over the whole surface. <> <>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 595.32 841.92] /Contents 4 0 R/Group<>/Tabs/S>> Hydrostatic Force on a Plane Surface Henryk Kudela When a surface is submerged in a fluid, forces develop on the surface due to the fluid. Friction effects are negligible too. h�bbd```b``�"3�d �d= f+�H&[0�V�fw�٧�lo0� ������L0ylN ��Zf' I��;�l����(��u%�.ɭf{�H�G`�#��b���710}! %����
Example Problem – Hydrostatic Pressure Force on Curved Surfaces (Example Problem 3-9, Çengel and Cimbala) Author: John M. Cimbala, Penn State University Latest revision: 05 September 2012 Draw a free body diagram around this volume of water, as shown to the right. h��W�n7�>&(�%��!��@l��� ��XG�n�6h��=Cɒbَ� �A.9ù�� ��2!
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