 | Augustus Jay DuBois - 1877 - 532 σελίδες
...for finding the strain in the third. The moment of the strain in this last about this point must be equal to the algebraic sum of the moments of all the forces acting between the section and one end. Take Pt for example. Its upward reaction at A is 7.415. [A... | |
 | James Gordon MacGregor - 1887 - 540 σελίδες
...algebraic sum of the moments of X, Y about an axis through O perpendicular to the plane of Cx, Cy is Hence the algebraic sum of the moments of all the forces about this axis is !,( Yx - Xy), + aZ Y- b2X = 2( Yx - Xy), since S-ST = SF=0. Hence the sum of the moments of... | |
 | James Gordon MacGregor - 1887 - 540 σελίδες
...about an axis through O perpendicular to the plane of Cx, Cy is Y(x + a)-X(y + b) = Yx-Xy+aY-bX. Hence the algebraic sum of the moments of all the forces about this axis is 2( Yx - Xy), + al, Y- bZX = 2( Yx - Xy), since 2X =2F=0. Hence the sum of the moments of the... | |
 | Edward Salisbury Dana - 1881 - 320 σελίδες
...fixed axis and acted upon by forces in a plane perpendicular to this axis, will be in equilibrium if the algebraic sum of the moments of all the forces about this axis is zero. According to the condition the body is only free to rotate in one plane perpendicular... | |
 | Henry Turner Eddy - 1890 - 124 σελίδες
...of separately computing T' and T", and then taking their sum to obtain T. The value of h T is, then, equal to the algebraic sum of the moments of all the forces at the left of Q' minus the moment about Q' of the stresses in the members of the web cut by the vertical... | |
 | Myron H. Lewis - 1906 - 838 σελίδες
...Moment at a = Rt (I — *,), " " I = Bl (I - xt) - W, (*, - *,), That is, the moment at any section is equal to the algebraic sum of the moments of all the forces on either side about that section. The largest of these is the maximum moment. NOTE. — The shears... | |
 | Sir John Harvard Biles - 1908 - 488 σελίδες
...resistance must balance the moment WrX,. Hence the total bending moment on any section of a bar is equal to the algebraic sum of the moments of all the forces acting on the bar on one side of the section. If we look at fig. 158 we see that in the two ends of... | |
 | Harold Pender - 1910 - 366 σελίδες
...particles, the rate of change of the total moment of momentum of the system about any fixed axis is equal to the algebraic sum of the moments of all the forces about this axis, irrespective of any force which the individual particles may exert on one another. When a rigid... | |
 | John Graham - 1910 - 340 σελίδες
...moment due to the internal stresses at the section. The bending moment at any section of a beam is equal to the algebraic sum of the moments of all the forces to the right or to the left of the section. Let a beam be loaded as shown in Fig. 150. It is required... | |
 | Harold Pender - 1911 - 460 σελίδες
...particles, the rate of change of the total moment of momentum of the system about any fixed axis is equal to the algebraic sum of the moments of all the forces about this axis, irrespective of any forces which the individual particles may exert on one another. When a rigid... | |
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The bending moment at any Imaginary transverse section of a beam Is equal to the algebraic sum of the moments of all the forces to either side of the section. bending of strata (Geol.). 
