. Strength of materials: a practical manual of scientific methods of locating and determining stresses and calculating the required strength and dimensions of building materials . signs previouslystated (Art. 29) that the moment of a force which tends to pro-duce clockwise rotation is plus, and that of a force which tends toproduce counter-clockwise rotation is minus; but in order to getthe same sign for the bending moment whether computed fromthe right or left, we change tJie sign of the sum of the momentswhen computed from the loads and reactions on the right. Thusfor section <2, Fig. 8,


. Strength of materials: a practical manual of scientific methods of locating and determining stresses and calculating the required strength and dimensions of building materials . signs previouslystated (Art. 29) that the moment of a force which tends to pro-duce clockwise rotation is plus, and that of a force which tends toproduce counter-clockwise rotation is minus; but in order to getthe same sign for the bending moment whether computed fromthe right or left, we change tJie sign of the sum of the momentswhen computed from the loads and reactions on the right. Thusfor section <2, Fig. 8, the algebraic sums of the moments of theforces are: when computed from tne left, -1,000 X 5 + 3,000 X1=-2,000 foot-pounds;and when computed from the right, 1,000 X 19-3,000 X15 + 2,000 X13 + 2,000 X 1 = -f 2,000 bending moment at section a is -2,000 foot-pounds. Again, for section J, the algebraic sums of the moments of theforces are:when computed from the left, -1,000 X 22 + 3,000 X 18-2,000 X 16-2,000 X1 + 3,000 X 2=-2,000 foot-pounds;and when computed from the right, 1,000 X 2= + 2,000 bending moment at the section is CO en U K H t/l s>> C5 Z i; ^^ •^ H CO 3 ^ OC -^ X ^ H •_^ CC ^ (d -2 Q . Z ^ 3 2 Vi V* Q ^ O W o ^ ^ ■-. C/5 ,. 3 .;^ O ^- o: ^ --^ (X. •:- O «i b] ^ OC X Q ^ F- i. U ^ < j; CC b. 5 O V z S ►< X ^ ^w o •3 X o (f) ft. z mm ^ ]j ticelve. 43. Notation. We shall use M to denote bendincr moment atany section, and the bending moment at a particular section willbe denoted by that letter subscripted; thus Mj, M,„ etc., denotevalues of the bending moment for sections one, two, etc., feetfrom the left end of the beam. Examples. 1. Compute the be


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