{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-c03aa079.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-517835be.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Statics Formula Sheet' data-url='/boclips/videos/628c9213ecd98a74f6b52d8d' data-video-url='/boclips/videos/628c9213ecd98a74f6b52d8d' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nStatics Formula Sheet\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30360345\" href=\"/search?publisher_ids%5B%5D=30360345\"\u003eVirtually Passed\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eStatic Equilibrium:F = ma = 0 (for static objects that aren't acceleratingM = I_G alpha = 0 (for static objects that don't have an angular acceleration). Notice that moments can also be written as a vector  using M = r x F. Note that...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eStatic Equilibrium:\u003cbr/\u003eF = ma = 0 (for static objects that aren't accelerating\u003cbr/\u003eM = I_G alpha = 0 (for static objects that don't have an angular acceleration). Notice that moments can also be written as a vector  using M = r x F. Note that you'll have to use the right hand rule to determine direction.\u003cbr/\u003e\u003cbr/\u003eReactions:\u003cbr/\u003ePins prevent movement in x and y but not rotation\u003cbr/\u003eRollers prevent movement in y but not rotation\u003cbr/\u003eCantilevered supports prevent movement in x and y and rotation\u003cbr/\u003eNormal forces prevent movement in the positive y direction only.\u003cbr/\u003e\u003cbr/\u003eMethod of Joints and Method of Sections:\u003cbr/\u003eEvery joint and every section of the truss is in static equilibrium, so we can find internal forces by making appropriate cuts. Node that the internal force is parallel to the member only if pins are frictionless and members are massless (standard assumptions for simple trusses)\u003cbr/\u003e\u003cbr/\u003eCentroid:\u003cbr/\u003eThis is the same as the Center of Mass for an homogeneous object with constant thickness. \u003cbr/\u003e\u003cbr/\u003eSecond Moment of Area:\u003cbr/\u003eFor a rectangle with an axis at the centroid with base, b and height, h. I_x = 1/12 b h^3\u003cbr/\u003e\u003cbr/\u003eDistributed Load:\u003cbr/\u003eThis is a force per unit length. 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