{"id":821,"date":"2017-02-06T17:45:55","date_gmt":"2017-02-06T16:45:55","guid":{"rendered":"http:\/\/geospectrum.pl\/geotechnics\/obliczenia-statecznosci\/"},"modified":"2022-09-19T10:02:27","modified_gmt":"2022-09-19T08:02:27","slug":"stability-calculations","status":"publish","type":"page","link":"https:\/\/www.geospectrum.pl\/en\/geotechnics\/stability-calculations\/","title":{"rendered":"STABILITY CALCULATIONS"},"content":{"rendered":"<section class=\"l-section wpb_row tlotresc height_medium with_img\"><div class=\"l-section-img\" role=\"img\" data-img-width=\"1400\" data-img-height=\"308\" style=\"background-image: url(https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/01\/naglowek.jpg);\"><\/div><div class=\"l-section-h i-cf\"><div class=\"g-cols vc_row via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><\/div><\/div><\/div><\/div><\/div><\/section><section class=\"l-section wpb_row height_medium\"><div class=\"l-section-h i-cf\"><div class=\"g-cols vc_row via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-8 wpb_column vc_column_container tresc has_bg_color\"><div class=\"vc_column-inner us_custom_4fb9e5a3\"><div class=\"wpb_wrapper\"><div class=\"g-cols wpb_row okruszki-kontener via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column okruszki\"><div class=\"wpb_wrapper\"><p><a href=\"http:\/\/geospectrum.pl\/en\/\">Main Page<\/a>\u00a0|\u00a0<a href=\"http:\/\/geospectrum.pl\/en\/knowledge-base\/\">Knowledge base<\/a>\u00a0| <a href=\"http:\/\/geospectrum.pl\/en\/geotechnics\">Geotechnics<\/a> | Stability calculations<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><div class=\"g-cols wpb_row zdjecia-kolumny via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column zdjecia-kolumny\"><div class=\"wpb_wrapper\"><h1>STABILITY CALCULATIONS<\/h1>\n<p><span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">There are many ways to calculate stability for landslides, slopes, but also for anthropogenic works such as road embankments, railways and other types.<\/span><\/span> <span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">Nowadays, these calculations are done by specialized computer programs that use different algorithms in their calculations.<\/span><\/span> <span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">The vast majority of them analyze the balance of forces in a given computational model.<\/span><\/span> FoS (Factor of Safety) is the ratio of the generalized sum of friction and cohesion forces\u00a0 of the material and forces derived from the geotechnical protection of the slope (anchors, gabions, etc.), to the sum of generalized force loads, caused by \u00a0gravity, filtration, static and dynamic loads.<\/p>\n<p>The solution of this equation most often leads to finding the actual or potential slip surface, and the choice of a suitable computational method to evaluate the stability of the slope depends on its predicted form of deformation. <span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">When analyzing stability of rocks or soil\u00a0 slope, all possible elements of the landslide process should be taken into account.<\/span><\/span><\/p>\n<p><span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">When selecting a calculation method, it is recommended to consider:<\/span><\/span><\/p>\n<ul>\n<li>layering in the ground,<\/li>\n<li>o<span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">ccurrence and inclination of discontinuity<\/span><\/span>,<\/li>\n<li><span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">filtration and distribution of water pressure in the slope (taking into account the water),<\/span><\/span><\/li>\n<li><span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">short and long-term stability<\/span><\/span>,<\/li>\n<li>d<span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">eformation of slope from creep<\/span><\/span>ing.<\/li>\n<\/ul>\n<\/div><\/div><\/div><\/div><\/div><\/div><div class=\"g-cols wpb_row zdjecia-kolumny via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img decoding=\"async\" width=\"740\" height=\"225\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/02\/model_obliczeniowy_en.png\" class=\"attachment-full size-full\" alt=\"GeoSpectrum - Computational model with boundary conditions for slope stability analysis with asphalt road\" loading=\"lazy\" srcset=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/02\/model_obliczeniowy_en.png 740w, https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/02\/model_obliczeniowy_en-300x91.png 300w, https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/02\/model_obliczeniowy_en-600x182.png 600w\" sizes=\"auto, (max-width: 740px) 100vw, 740px\" \/><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"g-cols wpb_row wiersz-podpisu via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column podpis\"><div class=\"wpb_wrapper\"><p>Computational model with boundary conditions for slope stability analysis with asphalt road<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><div class=\"g-cols wpb_row zdjecia-kolumny via_flex valign_middle type_default stacking_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column zdjecia-kolumny\"><div class=\"wpb_wrapper\"><p>When analyzing a particular case, the calculation programs identify the slip surface group, whereby the safety factor for the most unfavorable is calculated. By using forces equilibrium methods, it&#8217;s assumed:<\/p>\n<ul>\n<li>flat stress &#8211; deformation state &#8211; two-dimensional character of the computational model (geotechnical cross-section),<\/li>\n<li><span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">simultaneous occurrence of the limit state across the entire slip surface,<\/span><\/span><\/li>\n<li>l<span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">inear strain distribution from own weight<\/span><\/span>,<\/li>\n<li><span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">different shapes of slip surface: flat, circular &#8211; cylindrical, circular,<\/span><\/span><\/li>\n<li>occurrence of equilibrium Coulomb&#8217;s strength hypothesis &#8211; at the boundary state.<\/li>\n<\/ul>\n<h3><span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">Computational methods commonly used:<\/span><\/span><\/h3>\n<\/div><\/div><\/div><\/div><\/div><\/div><div class=\"g-cols wpb_row zdjecia-kolumny via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-7 wpb_column vc_column_container zdjecia-kolumny\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><ul>\n<li>n<span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">umerical method FEM (Finite Element Method)<\/span><\/span><\/li>\n<li>numerical method <span id=\"result_box\" class=\"short_text\" lang=\"en\"><span class=\"\">FDM (Finite Difference Method)<\/span><\/span><\/li>\n<\/ul>\n<\/div><\/div><div class=\"w-btn-wrapper align_none\"><a class=\"w-btn us-btn-style_4 us_custom_80a192e9\" href=\"http:\/\/geospectrum.pl\/en\/geotechnics\/stability-analysis\/numeryczne\/\"><span class=\"w-btn-label\">See more<\/span><\/a><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-5 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_none\"><a href=\"http:\/\/geospectrum.pl\/pl\/badania-geotechniczne\/obliczenia-statecznosci\/numeryczne\" aria-label=\"GeoSpectrum - Geotechnics - Numerical stability analysis\" class=\"w-image-h\"><img decoding=\"async\" width=\"300\" height=\"115\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/02\/obliczenia_numeryczne_small_en.png\" class=\"attachment-full size-full\" alt=\"GeoSpectrum - Geotechnics - Numerical stability analysis\" loading=\"lazy\" \/><\/a><\/div><\/div><\/div><\/div><\/div><div class=\"g-cols wpb_row zdjecia-kolumny via_flex valign_top type_default stacking_default\"><div class=\"vc_col-sm-7 wpb_column vc_column_container zdjecia-kolumny\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><ul>\n<li>analytic method<\/li>\n<\/ul>\n<\/div><\/div><div class=\"w-btn-wrapper align_none\"><a class=\"w-btn us-btn-style_4 us_custom_80a192e9\" 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src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/01\/budownictwo-1.jpg\" class=\"attachment-us_600_600_crop size-us_600_600_crop wp-post-image\" alt=\"GeoSpectrum - Budownictwo\" \/><\/a><\/div><div class=\"w-html usg_html_1\"><\/div><div class=\"w-post-elm post_image usg_post_image_2 stretched\"><a href=\"http:\/\/geospectrum.pl\/en\/applications\/engineering\/\" aria-label=\"Engineering\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"320\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/01\/budownictwo-1.jpg\" class=\"attachment-us_600_600_crop size-us_600_600_crop wp-post-image\" alt=\"GeoSpectrum - Budownictwo\" \/><\/a><\/div><h2 class=\"w-post-elm post_title usg_post_title_1 has_text_color align_center entry-title color_link_inherit\"><a href=\"http:\/\/geospectrum.pl\/en\/applications\/engineering\/\">Engineering<\/a><\/h2><\/div>\t\t<\/div>\r\n\t\t\t<\/article>\r\n\t<article class=\"w-grid-item size_1x1 custom-link post-439 us_portfolio type-us_portfolio status-publish has-post-thumbnail hentry us_portfolio_category-oferta-en\" data-id=\"439\">\r\n\t\t<div class=\"w-grid-item-h\" style=\"background:rgba(0,0,0,0);\">\r\n\t\t\t\t\t\t\t<a href=\"http:\/\/geospectrum.pl\/en\/applications\/objects-location\/\" aria-label=\"Objects&lt;br&gt;location\"><\/a>\r\n\t\t\t\t\t\t<div class=\"w-vwrapper usg_vwrapper_2 align_center valign_middle\"><div class=\"w-post-elm post_image usg_post_image_1 stretched\"><a href=\"https:\/\/www.geospectrum.pl\/en\/portfolio\/lokalizacjaobiektow\/\" aria-label=\"Objectslocation\"><img loading=\"lazy\" decoding=\"async\" width=\"365\" height=\"365\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01.png\" class=\"attachment-us_600_600_crop size-us_600_600_crop wp-post-image\" alt=\"\" srcset=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01.png 365w, https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01-300x300.png 300w, https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01-150x150.png 150w, https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01-350x350.png 350w\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" \/><\/a><\/div><div class=\"w-html usg_html_1\"><\/div><div class=\"w-post-elm post_image usg_post_image_2 stretched\"><a href=\"http:\/\/geospectrum.pl\/en\/applications\/objects-location\/\" aria-label=\"Objectslocation\"><img loading=\"lazy\" decoding=\"async\" width=\"365\" height=\"365\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01.png\" class=\"attachment-us_600_600_crop size-us_600_600_crop wp-post-image\" alt=\"\" srcset=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01.png 365w, https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2026\/02\/wielkokubaturowe01-300x300.png 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valign_middle\"><div class=\"w-post-elm post_image usg_post_image_1 stretched\"><a href=\"https:\/\/www.geospectrum.pl\/en\/portfolio\/geofizykaposzykiwawcza\/\" aria-label=\"Explorationgeophysics\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"320\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/01\/geofizyka-poszukiwawcza-1.jpg\" class=\"attachment-us_600_600_crop size-us_600_600_crop wp-post-image\" alt=\"\" \/><\/a><\/div><div class=\"w-html usg_html_1\"><\/div><div class=\"w-post-elm post_image usg_post_image_2 stretched\"><a href=\"http:\/\/geospectrum.pl\/en\/applications\/exploration-geophysics\/\" aria-label=\"Explorationgeophysics\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"320\" src=\"https:\/\/www.geospectrum.pl\/wp-content\/uploads\/2017\/01\/geofizyka-poszukiwawcza-1.jpg\" class=\"attachment-us_600_600_crop size-us_600_600_crop wp-post-image\" alt=\"\" \/><\/a><\/div><h2 class=\"w-post-elm post_title usg_post_title_1 has_text_color align_center entry-title color_link_inherit\"><a href=\"http:\/\/geospectrum.pl\/en\/applications\/exploration-geophysics\/\">Exploration<br>geophysics<\/a><\/h2><\/div>\t\t<\/div>\r\n\t\t\t<\/article>\r\n<\/div><div class=\"w-grid-preloader\">\t<div class=\"g-preloader type_1\">\r\n\t\t<div><\/div>\r\n\t<\/div>\r\n\t<\/div>\t<div class=\"w-grid-json hidden\" onclick='return {&quot;action&quot;:&quot;us_ajax_grid&quot;,&quot;infinite_scroll&quot;:0,&quot;max_num_pages&quot;:1,&quot;pagination&quot;:&quot;none&quot;,&quot;template_vars&quot;:{&quot;columns&quot;:&quot;2&quot;,&quot;exclude_items&quot;:&quot;none&quot;,&quot;img_size&quot;:&quot;us_600_600_crop&quot;,&quot;ignore_items_size&quot;:0,&quot;items_layout&quot;:&quot;3702&quot;,&quot;items_offset&quot;:&quot;1&quot;,&quot;load_animation&quot;:&quot;none&quot;,&quot;overriding_link&quot;:&quot;{\\&quot;url\\&quot;:\\&quot;\\&quot;}&quot;,&quot;post_id&quot;:0,&quot;query_args&quot;:{&quot;post_type&quot;:[&quot;us_portfolio&quot;],&quot;tax_query&quot;:[{&quot;taxonomy&quot;:&quot;us_portfolio_category&quot;,&quot;field&quot;:&quot;slug&quot;,&quot;terms&quot;:[&quot;oferta-en&quot;]}],&quot;post_status&quot;:[&quot;publish&quot;],&quot;posts_per_page&quot;:999},&quot;orderby_query_args&quot;:{&quot;orderby&quot;:{&quot;date&quot;:&quot;ASC&quot;}},&quot;type&quot;:&quot;grid&quot;,&quot;us_grid_post_type&quot;:&quot;us_portfolio&quot;,&quot;us_grid_ajax_index&quot;:1,&quot;us_grid_filter_query_string&quot;:null,&quot;us_grid_index&quot;:1,&quot;page_args&quot;:[],&quot;lang&quot;:&quot;en&quot;}}'><\/div>\r\n\t<\/div><\/div><\/div><\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":818,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-821","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/pages\/821","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/comments?post=821"}],"version-history":[{"count":24,"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/pages\/821\/revisions"}],"predecessor-version":[{"id":4493,"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/pages\/821\/revisions\/4493"}],"up":[{"embeddable":true,"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/pages\/818"}],"wp:attachment":[{"href":"https:\/\/www.geospectrum.pl\/en\/wp-json\/wp\/v2\/media?parent=821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}