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vdoc.pub_statics- X BCC-UMassD-Civ x UMASS CEN-flow X Summer Sessions X CEN 202: Mechar X milConnect + File C:/Users/baude/Downloads/Important%20Files/EGR%20254/vdoc.pub_statics-and-strength-of-material... ☆ Electronics, Cars, Fa... Pandora One - Liste... My TurboTaxⓇ – G... EasyBib: Free Biblio... G= News Homebanking milConnect - TAP Google M Gmail Neutral AXIS: me neutral axis can be located by finding the points of zero stress on the sides AD and dɩ of the beam. The stress distribution on the two sides of the beam is shown in Fig. 16.7(f). From similar triangles, we write a/72 (6a)/1010 or a = 0.399 in. The slope of the neutral axis = arctan (62a)/4 = 52.4°, as shown in Fig. 16.7(f). PROBLEMS 16.15 A horizontal W18 × 55 rolled steel beam 15 ft long supports a uniform load of 2 kip/ft. The cross section of the beam is inclined at a slope of 15°. Determine the maximum tensile and compressive stress in the beam if the ends are simply supported. See Table A.3 in the Appendix for properties of steel beams. 16.16 A horizontal simply supported W460 X 82 steel beam 4.5 m long supports a uniform load of 25 kN/m. The cross section of the beam is inclined at a slope of 20°. Determine the maximum tensile and compressive stress in the beam. See Table A.3 (SI Units) in the Appendix for properties of steel beams. 16.17 A simply supported W8 X 35 rolled steel beam 15 ft long supports a concentrated load at midspan. The load is applied through the centroid of the cross sec- tion of the beam. If the cross section of the beam is in- clined at a slope of 15° and the allowable bending stress is 24 ksi, what load can the beam support? Neglect the weight of the beam. See Table A.3 in the Appendix for properties of steel beams. 16.18 A W200 X 52 rolled steel cantilever beam 1.5 m long supports a concentrated load that is applied at its free end. If the cross section of the beam is inclined at a slope of 15° and the allowable bending stress is 165 MPa, what load can the beam support? Neglect the weight of the beam. See Table A.3 (SI Units) in the Appendix for properties of steel beams. 16.4 ECCENTRICALLY LOADED MEMBERS The eccentrically loaded member (Fig. 16.8) is a special case where the load produces both axial and bending stresses. The normal stress at any point on a cross section ABCD of the member is found by superposition. Adding the axial stress and the bending stresses about both the y and z axes, we write Р Myz My σχ 土 ± (a) A Ly Iz The moments of the load P about the y and z axes are My = Pez and M₂ = Pe. Substituting the moments into Eq. (a), we have P A Pez Pezy ± ± (b) I, I₂ Notice that the distribution of stress is the same for any cross section of the member. ez FIGURE 16.8 Type here to search D + 44°F > 6 (8) ☑ + 10:28 PM 4/19/2024 503

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