 | De Volson Wood - 1875 - 346 sider
...condition of maximum resistance. 96. The moment of inertia of a surface is the sum of all the products obtained by multiplying each elementary area by the square of its distance from an axis. APPENDIX. MOMENT OF LNEHTIA OF A SURFACE. Let I - - the moment of inertia about an axis ;... | |
 | 1886 - 542 sider
...the factor 2y'S is called the moment of inertia of the cross section and is represented by I. It is obtained by multiplying each elementary area by the square of its distance from the neutral axis and taking the sum of the products. Representing 2y'S by I, we have, M=-I (35) We... | |
 | Philetus Harvey Philbrick - 1886 - 192 sider
...the factor 2y'6 is called the moment of inertia of the cross section and is represented by I. It is obtained by multiplying each elementary area by the square of its distance from the neutral axis and taking the sum of the products. Representing ^tfd by I, we have, M=4l (35) V We... | |
 | Mansfield Merriman - 1890 - 410 sider
...are constants this expression may be written 5 -2az*. But 2a^, being the sum of the products formed by multiplying each elementary area by the square of its distance from the neutral axis, is the moment of inertia of the crosssection with reference to that axis and may... | |
 | Mansfield Merriman - 1897 - 182 sider
...INERTIA. The moment of inertia of a plane surface with respect to an axis is the sum of the products obtained by multiplying each elementary area by the square of its distance from that axis. In the discussion of beams the axis is always taken as passing through the center of gravity... | |
 | William Chase Thomson - 1905 - 104 sider
...given section, or The factor (~y*A) is called the moment of inertia and is represented by I. It is obtained by multiplying each elementary area by the square of its distance from the neutral axis and taking the sum of the products. Representing (2y2A) by I, then M= — I = moment... | |
 | Mansfield Merriman - 1905 - 548 sider
...beams and columns. The ' polar moment of inertia ' of a surface is defined as the sum of the products obtained by multiplying each elementary area by the square of its distance from the center of gravity of the surface. Thus if da is any elementary area and z its distance from the... | |
 | Mansfield Merriman - 1905 - 554 sider
...resisting moment of horizontal stresses But the quantity Ida . z2, being the sum of the products formed by multiplying each elementary area by the square of its distance from the neutral axis, is the 'moment of inertia' of the area of the cross-section with reference to that... | |
 | Joseph Gregory Horner - 1907 - 560 sider
...See High-Speed Tool Steels. Moment of Inertia.— If each particle of the mass of any solid body Ы- multiplied by the square of its distance from a given...considering the section of a rolled steel joist or H I>eam two definite values of I are usually calculated : one is termed the greatest moment of inertia,... | |
 | George A. Hool - 1916 - 728 sider
...follows : The moment of inertia of a plane surface with respect to an axis is the sum of the products obtained by multiplying each elementary area by the square of its distance from that axis. If S is taken to mean the sum of, then it is evident that 2or2 between the limits of the... | |
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Inertia of a surface about an axis through its center of gravity und perpendicular to the surface is the sum of the products obtained by multiplying each elementary area by the square of its distance from the center of gravity of... 
