{"id":1066,"date":"2023-03-23T10:19:44","date_gmt":"2023-03-23T09:19:44","guid":{"rendered":"https:\/\/hydraulikmagazin.de\/calculate-hydraulic-cylinder\/"},"modified":"2023-09-25T15:06:50","modified_gmt":"2023-09-25T13:06:50","slug":"calculate-hydraulic-cylinder","status":"publish","type":"post","link":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/calculate-hydraulic-cylinder\/","title":{"rendered":"Calculate hydraulic cylinder"},"content":{"rendered":"

[et_pb_section fb_built=”1″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_row _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” hover_enabled=”0″ global_colors_info=”{}” sticky_enabled=”0″]<\/p>\n

Hydraulic cylinder – design<\/h2>\n

You want to calculate hydraulic cylinders<\/a>? When dimensioning hydraulic cylinders, knowledge of the forces acting on the cylinder is a prerequisite. The calculations apply to both double-acting and single-acting hydraulic cylinders<\/a>.<\/p>\n

First, let’s consider the calculation of the piston and ring area of the hydraulic cylinder:<\/p>\n

For the piston area applies:<\/p>\n

\"Formula<\/p>\n

For the bar side accordingly:<\/p>\n

\"Surface<\/p>\n

When calculating the piston forces, one must take into account the mechanical-hydraulic efficiency. Corresponding losses occur in particular due to friction at the sealing surfaces. The flow losses in the hydraulic cylinder are negligible.<\/p>\n

[\/et_pb_text][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of forces on hydraulic cylinders<\/h3>\n

The force for the extending piston is calculated as follows:<\/p>\n

\"Formula<\/p>\n

Where p1 is the pressure on the piston side, p2 on the rod side, A is the piston area, a is the annular area on the rod side of the hydraulic cylinder.<\/p>\n

If the back pressure p2 is very small, the second part of the formula can be neglected.<\/p>\n

The following formula is obtained for the retracting cylinder piston:<\/p>\n

\"Formula<\/p>\n

[\/et_pb_text][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Efficiency hydraulic cylinder<\/h3>\n

For efficiency, note that pressure p on the piston side stresses only one piston seal, while pressure p on the rod side stresses both a piston seal and the rod seal. This results in different efficiencies for the piston and rod sides. The following values can be assumed here:<\/p>\n

Efficiency piston side: \u03b7K = 0.9 – 0.95
Efficiency rod side: \u03b7S = 0.8-0.9<\/p>\n

[\/et_pb_text][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Hydraulic Cylinder Calculator<\/h2>\n

You want to design or calculate a hydraulic cylinder? Then simply use our hydraulic cylinder calculator!<\/p>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=”1_2,1_2″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”1_2″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of the piston area<\/h3>\n

Enter the piston diameter:<\/p>\n

[\/et_pb_text][cff_divi cff_form_id=”6″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][\/et_pb_column][et_pb_column type=”1_2″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of the piston ring area<\/h3>\n

Enter the piston diameter and the piston rod diameter:<\/p>\n

[\/et_pb_text][cff_divi cff_form_id=”9″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Cylinder volume during retraction and extension<\/h3>\n

Calculates the cylinder volume on the piston and rod side depending on the cylinder stroke.<\/p>\n

[\/et_pb_text][cff_divi cff_form_id=”18″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of the push and pull force of a hydraulic cylinder<\/h3>\n

Specify the piston area(s), the pressure on the piston and rod sides, and the efficiencies. The pressure on the rod side can be neglected if the return pressure is very small.<\/p>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=”1_2,1_2″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”1_2″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Compressive force during extension<\/h4>\n

[\/et_pb_text][cff_divi cff_form_id=”10″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][\/et_pb_column][et_pb_column type=”1_2″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Compressive force during retraction<\/h4>\n

[\/et_pb_text][cff_divi cff_form_id=”12″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of the necessary piston diameter
at given force<\/h3>\n

This calculation does not take into account the back pressure. Enter the required force and the existing pump pressure:<\/p>\n

[\/et_pb_text][cff_divi cff_form_id=”14″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculate hydraulic cylinder – travel speeds<\/h3>\n

Important criteria in the design of hydraulic cylinders are the travel speeds. The entry and exit speed is calculated as follows:<\/span><\/p>\n

Extend:<\/span><\/p>\n

\"Calculate<\/p>\n

Running in:<\/span><\/p>\n

\"Calculate<\/span><\/p>\n

Where Q is the volume flow in l\/min. The volumetric efficiency can be neglected in this case and thus set to \u03b7 = 1. <\/span><\/p>\n

[\/et_pb_text][cff_divi cff_form_id=”20″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

The extension time of the hydraulic cylinder is then for a known stroke:<\/p>\n

[\/et_pb_text][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of the volume flow at a specified extension speed<\/h3>\n

Calculate the required pump volume flow here to obtain the desired cylinder extension time:<\/p>\n

[\/et_pb_text][cff_divi cff_form_id=”22″ _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/cff_divi][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n

Calculation of hydraulic cylinders – Other<\/h2>\n

There are other criteria to be considered when designing hydraulic cylinders. Due to their design, which results from a large length compared to the diameter for the piston rod, hydraulic cylinders must also be calculated for buckling. The maximum permissible axial force for the cylinder is calculated taking into account the free kink lk and a safety factor S:<\/p>\n

\"Calculation<\/p>\n

Thereby is:<\/strong><\/p>\n

    \n
  • K4: Correction factor (often 1)<\/li>\n
  • E1: Modulus of elasticity of the piston rod material<\/li>\n
  • E2: modulus of elasticity of the cylinder body material<\/li>\n
  • I1: Moment of inertia of the piston rod<\/li>\n
  • I2: Moment of inertia of the cylinder body<\/li>\n
  • S: Safety factor (usually 1-3.5)<\/li>\n
  • lk: free buckling length<\/li>\n<\/ul>\n

    The type of fastening has a significant influence on the buckling length. It applies to the following load cases:<\/p>\n

     <\/p>\n

    [\/et_pb_text][et_pb_image src=”https:\/\/hytrade24.com\/hydraulikmagazin\/en\/\/wp-content\/uploads\/2023\/03\/Knickfaelle-Hydraulikzylinder.png” alt=”Calculate hydraulic cylinder – buckling cases” title_text=”Buckling cases hydraulic cylinder” _builder_version=”4.20.2″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_image][et_pb_text _builder_version=”4.20.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″]<\/p>\n

    In some cases, there are separate regulations for special designs or special applications.<\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

    Hydraulic cylinder – design You want to calculate hydraulic cylinders? When dimensioning hydraulic cylinders, knowledge of the forces acting on the cylinder is a prerequisite. The calculations apply to both double-acting and single-acting hydraulic cylinders. First, let’s consider the calculation of the piston and ring area of the hydraulic cylinder: For the piston area applies: […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[31,30,35],"tags":[],"class_list":["post-1066","post","type-post","status-publish","format-standard","hentry","category-knowledge","category-hydraulic-cylinder","category-tips-and-tricks","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"_links":{"self":[{"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/posts\/1066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/comments?post=1066"}],"version-history":[{"count":20,"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/posts\/1066\/revisions"}],"predecessor-version":[{"id":1516,"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/posts\/1066\/revisions\/1516"}],"wp:attachment":[{"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/media?parent=1066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/categories?post=1066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hytrade24.com\/hydraulikmagazin\/en\/wp-json\/wp\/v2\/tags?post=1066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}