[{"data":1,"prerenderedAt":24},["ShallowReactive",2],{"formula-en-parallel-axis-theorem":3},{"formula":4,"related_topics":12,"alternates":21},{"id":5,"code":6,"slug":6,"title":7,"formula":8,"locale":9,"seo_title":10,"seo_description":10,"content_html":11},89,"parallel-axis-theorem","Parallel-Axis Theorem for Second Moments of Area","I = Ic + Aa²","en",null,"\u003Cdiv class=\"formula-chunk\">\u003Cp>The second moment of area about an axis parallel to a centroidal axis is found from the parallel-axis theorem:\u003C\u002Fp>\u003Cp>$$I_x=I_{x_c}+Aa^2,$$\u003C\u002Fp>\u003Cp>where \u003Cstrong>Ixc\u003C\u002Fstrong> is the second moment about the parallel centroidal axis, \u003Cstrong>A\u003C\u002Fstrong> is the area, and \u003Cstrong>a\u003C\u002Fstrong> is the distance between the axes.\u003C\u002Fp>\u003Cp>Similarly:\u003C\u002Fp>\u003Cp>$$I_y=I_{y_c}+Ab^2.$$\u003C\u002Fp>\u003Cp>For a composite section, the transferred contributions of all parts are summed algebraically; holes are treated with negative area.\u003C\u002Fp>\u003Cdiv data-formula-calculator-config=\"eyJ0aXRsZSI6IlBhcmFsbGVsLUF4aXMgVGhlb3JlbSIsImZvcm11bGEiOiJJID0gSWMgKyBBYcKyIiwidmFyaWFibGVzIjpbeyJrZXkiOiJzZWNvbmRNb21lbnQiLCJzeW1ib2wiOiJJIiwibGFiZWwiOiJTZWNvbmQgbW9tZW50IGFib3V0IG9mZnNldCBheGlzIiwicXVhbnRpdHkiOiJzZWNvbmRNb21lbnRPZkFyZWEiLCJkZWZhdWx0VW5pdCI6ImNtNCJ9LHsia2V5IjoiY2VudHJvaWRhbE1vbWVudCIsInN5bWJvbCI6IklfYyIsImxhYmVsIjoiQ2VudHJvaWRhbCBzZWNvbmQgbW9tZW50IiwicXVhbnRpdHkiOiJzZWNvbmRNb21lbnRPZkFyZWEiLCJkZWZhdWx0VW5pdCI6ImNtNCJ9LHsia2V5IjoiYXJlYSIsInN5bWJvbCI6IkEiLCJsYWJlbCI6IkFyZWEiLCJxdWFudGl0eSI6ImFyZWEiLCJkZWZhdWx0VW5pdCI6ImNtMiJ9LHsia2V5Ijoib2Zmc2V0Iiwic3ltYm9sIjoiYSIsImxhYmVsIjoiRGlzdGFuY2UgYmV0d2VlbiBheGVzIiwicXVhbnRpdHkiOiJsZW5ndGgiLCJkZWZhdWx0VW5pdCI6ImNtIn1dLCJzb2x2ZSI6eyJzZWNvbmRNb21lbnQiOiJjZW50cm9pZGFsTW9tZW50ICsgYXJlYSAqIG9mZnNldCAqIG9mZnNldCIsImNlbnRyb2lkYWxNb21lbnQiOiJzZWNvbmRNb21lbnQgLSBhcmVhICogb2Zmc2V0ICogb2Zmc2V0IiwiYXJlYSI6IihzZWNvbmRNb21lbnQgLSBjZW50cm9pZGFsTW9tZW50KSAvIChvZmZzZXQgKiBvZmZzZXQpIiwib2Zmc2V0IjoiTWF0aC5zcXJ0KChzZWNvbmRNb21lbnQgLSBjZW50cm9pZGFsTW9tZW50KSAvIGFyZWEpIn19\">\u003C\u002Fdiv>\u003C\u002Fdiv>",[13,17],{"id":14,"name":15,"path":16},121,"Parallel-Axis Theorem and Composite Sections","strength-of-materials\u002Fgeometric-properties-of-plane-areas\u002Fparallel-axis-theorem-and-composite-sections",{"id":18,"name":19,"path":20},59,"Geometric Properties of Plane Areas","strength-of-materials\u002Fgeometric-properties-of-plane-areas",{"en":22,"uk":23},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Fformulas\u002Fparallel-axis-theorem","https:\u002F\u002Fmechclassroom.com\u002Fformulas\u002Fparallel-axis-theorem",1787712543852]