. The strength of materials; a text-book for engineers and architects. <, and ft which give themaximum stresses across the section, and so we will write theresult as /,. = ! (3) M f-% (*^ In the case where the section is symmetrical about the ,d^ is equal to dt, so that Z^ and Z^ are equal. In this case,therefore, /, = ft, and we may write the relation as ZFor values of section moduli for British Standard BeamSections, see Appendix. Unit Section Modulus ; Beam Factor.—If instead of taking the section modulus as Z we took -v and called it the unit section modulus, the quantity would be r
. The strength of materials; a text-book for engineers and architects. <, and ft which give themaximum stresses across the section, and so we will write theresult as /,. = ! (3) M f-% (*^ In the case where the section is symmetrical about the ,d^ is equal to dt, so that Z^ and Z^ are equal. In this case,therefore, /, = ft, and we may write the relation as ZFor values of section moduli for British Standard BeamSections, see Appendix. Unit Section Modulus ; Beam Factor.—If instead of taking the section modulus as Z we took -v and called it the unit section modulus, the quantity would be rather moreuseful and probably more easy to conceive to those who finddifficulty in purely mathematical conceptions. We should then have Z I A;^ Unit compression section modulus = z, = -^ = a ^ ^ ~d~ „ tension „ ,, = Zt = -j z, and Zi then become lengths 1*\^ rnK v^TKKNcrrn ov MVTK)n\ oi|iK-\tious (o^ ;\iul {4) ^ivi^ A /,.A A MZ, «, ivud ;7<i. horizontally to ivpix^sont k , tho radius of gyration. i>7i». i>f tho soot ion abovo tho >*. joining u i\ \ v and drawing linosOK, DF ivsptvtivoly at riglit anglos to thoni. Thon i k, c fare ;:, and ;. ivsjHvtivoly. Take, for oxaniplo, tho As r k i\ nc o: thoy aro similar. 6Vum factor.—Tho quantity J = v r ^*^^^ ^ synunotrioal STR-KSSKS IN liKAMS ID!) ,. Z rniM. ,. , „ i • I i- 1 K(H!ti(tri, ()»• . , , lor- n, ])<,ih\ h(5A a Hafo bfMiding Hl/fOHHCiH an^ ilio HarrKJ in cotuprc-HHiou ;iikI (-criHioii, Ji. (iicjiHiirfi of Mic vJiJiK! of I-Im! Hf5(!l,ioji n,H Ji f)ca,fri !»(«, cMlicd Mi(5 />(,(wi Idcior. i\il!) ;i,nd A I7{. .. boarn la(;l>or .^ •J23 For IIk^ W / H^Hiandard boairi Z ()()(), A 2()-2. .. beam factor ,., „,, ,, .{4210 X 20-2 .. tho 10 X 8 in a mom rusoMomicjal (5(5ian^ular HccMoii wonid ^dvc- u, beam facjtor ^ ^ \ 1^7. N(JMici{.K!Ai, i*]xAi
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