Essentials in the theory of framed structures . nk = and c = When A and B are on opposite sides ofthe center the application is made as follows: In Fig. 140 letk = and c = ; then in Fig. 141, k = and c = ;whence F = in each case. Maxwells law rendersexcellent service in the solution of statically indeterminatestructures. Sec. IV. Cantilever Beams 149. The beam in Fig. 143 supports a single load P at thefree end. It is fixed in the wall at A in such a way that the <- - I ,^ A) ^ 1 ^ eg. ^^^-- -^ -PI _,^ -^ ^^^ -< ^ f^L Fig. 143. tangent to the elastic curve a
Essentials in the theory of framed structures . nk = and c = When A and B are on opposite sides ofthe center the application is made as follows: In Fig. 140 letk = and c = ; then in Fig. 141, k = and c = ;whence F = in each case. Maxwells law rendersexcellent service in the solution of statically indeterminatestructures. Sec. IV. Cantilever Beams 149. The beam in Fig. 143 supports a single load P at thefree end. It is fixed in the wall at A in such a way that the <- - I ,^ A) ^ 1 ^ eg. ^^^-- -^ -PI _,^ -^ ^^^ -< ^ f^L Fig. 143. tangent to the elastic curve at A remains horizontal, hencethe deflection at the free end is A = i = — (- The negative sign indicates that the elastic curve deviatesbelow the tangent. The beam in Fig. 144 supports the load W uniformly dis-tributed. The M-diagram is SQY. The curve SV is a para- Sec. IV DEFLECTION OF BEAMS 233 bola with the vertex at S, hence the deflection at the free end is -=M-v)(^)(!) = 8EI A 7-in., is-lb. I-beam (Fig. 145) supports a load of 2,000 Fig. = 1,050,000,000 The tangent is drawn through C. h -12,,728 ^ _oo5g,in. I ,050,000,000 _ —12,000 X 3 X 4 X 1,728 ^ _1,050,000,000A = 2<i + fc = in. in. 234 THEORY OF FRAMED STRUCTURES Chap. V The deflection at B may also be found by drawing the tangentthrough either A or B. A cantilever beam is shown in Fig. 146. In finding h, 2000* 10000* 5000*
Size: 1248px × 2002px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
