{"id":60,"date":"2021-02-02T12:03:53","date_gmt":"2021-02-02T17:03:53","guid":{"rendered":"http:\/\/pressbooks.library.upei.ca\/statics\/?post_type=part&#038;p=60"},"modified":"2025-07-17T12:16:42","modified_gmt":"2025-07-17T16:16:42","slug":"chapter-6-internal-forces","status":"publish","type":"part","link":"https:\/\/pressbooks.library.upei.ca\/statics\/part\/chapter-6-internal-forces\/","title":{"raw":"Chapter 6: Internal Forces","rendered":"Chapter 6: Internal Forces"},"content":{"raw":"In the last chapter we looked at the normal (axial) force running through beams joined into trusses by analyzing either the joints or a whole section of the truss.\r\n\r\nIn this chapter, we look at what happens <em>along <\/em>a <em>single <\/em>beam. We will look at three types of internal forces and moments. Note that when we say 'internal forces', we really mean 'internal forces and moments'. Inside a beam, we will calculate the normal and shear forces as well as the bending moment at any point in the beam.\r\n\r\nFor this chapter: the shear force and bending moment change throughout the beam because additional transverse forces are applied. However, the normal force usually stays the same, because it's uncommon to have applied axial forces along the beam.\r\n\r\nHere are the sections in this Chapter:\r\n<ul>\r\n \t<li class=\"toc__title\"><a href=\"https:\/\/pressbooks.library.upei.ca\/statics\/chapter\/3-types-of-internal-forces\/\">6.1 Types of Internal Forces<\/a> - shear force, normal force and bending moment<\/li>\r\n \t<li class=\"toc__title\"><a href=\"https:\/\/pressbooks.library.upei.ca\/statics\/chapter\/shear-moment-diagrams\/\">6.2 Shear\/Moment Diagrams<\/a> - graphing the shear force and bending moment<\/li>\r\n \t<li class=\"toc__title\"><a href=\"https:\/\/pressbooks.library.upei.ca\/statics\/chapter\/6-3-examples\/\">6.3 Examples<\/a> - Examples from your peers<\/li>\r\n<\/ul>\r\nHere are the important equations for this chapter:\r\n\r\n<img src=\"http:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-1024x576.png\" alt=\"List of equations for chapter 6. These include: shear, normal and moment.\" class=\"aligncenter wp-image-1506 size-large\" width=\"1024\" height=\"576\" \/>","rendered":"<p>In the last chapter we looked at the normal (axial) force running through beams joined into trusses by analyzing either the joints or a whole section of the truss.<\/p>\n<p>In this chapter, we look at what happens <em>along <\/em>a <em>single <\/em>beam. We will look at three types of internal forces and moments. Note that when we say &#8216;internal forces&#8217;, we really mean &#8216;internal forces and moments&#8217;. Inside a beam, we will calculate the normal and shear forces as well as the bending moment at any point in the beam.<\/p>\n<p>For this chapter: the shear force and bending moment change throughout the beam because additional transverse forces are applied. However, the normal force usually stays the same, because it&#8217;s uncommon to have applied axial forces along the beam.<\/p>\n<p>Here are the sections in this Chapter:<\/p>\n<ul>\n<li class=\"toc__title\"><a href=\"https:\/\/pressbooks.library.upei.ca\/statics\/chapter\/3-types-of-internal-forces\/\">6.1 Types of Internal Forces<\/a> &#8211; shear force, normal force and bending moment<\/li>\n<li class=\"toc__title\"><a href=\"https:\/\/pressbooks.library.upei.ca\/statics\/chapter\/shear-moment-diagrams\/\">6.2 Shear\/Moment Diagrams<\/a> &#8211; graphing the shear force and bending moment<\/li>\n<li class=\"toc__title\"><a href=\"https:\/\/pressbooks.library.upei.ca\/statics\/chapter\/6-3-examples\/\">6.3 Examples<\/a> &#8211; Examples from your peers<\/li>\n<\/ul>\n<p>Here are the important equations for this chapter:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-1024x576.png\" alt=\"List of equations for chapter 6. These include: shear, normal and moment.\" class=\"aligncenter wp-image-1506 size-large\" width=\"1024\" height=\"576\" srcset=\"https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-1024x576.png 1024w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-300x169.png 300w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-768x432.png 768w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-1536x864.png 1536w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-2048x1152.png 2048w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-65x37.png 65w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-225x127.png 225w, https:\/\/pressbooks.library.upei.ca\/statics\/wp-content\/uploads\/sites\/56\/2021\/02\/Screen-Shot-2021-08-29-at-8.05.57-PM-350x197.png 350w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n","protected":false},"parent":0,"menu_order":6,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-60","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/pressbooks\/v2\/parts\/60","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":6,"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/pressbooks\/v2\/parts\/60\/revisions"}],"predecessor-version":[{"id":2765,"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/pressbooks\/v2\/parts\/60\/revisions\/2765"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/wp\/v2\/media?parent=60"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/wp\/v2\/contributor?post=60"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/statics\/wp-json\/wp\/v2\/license?post=60"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}