Tham khảo tài liệu 'advanced mechanics of materials (1993-john willey) episode 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 402 9 CURVED BEAMS . If E 200 GPa and G GPa for the steel in Problem determine the deflection of the ring for a load p 60 kN. Let k . Ans. ỗp mm . An aluminum alloy ring has a mean diameter of 600 mm and a rectangular cross section with 200 mm thickness and a depth of 300 mm radial direction . The ring is loaded by diametrically opposite radial loads p MN. Determine the maximum tensile and compressive circumferential stresses in the ring. . If E GPa and G GPa for the aluminum alloy ring in Problem determine the separation of the points of application of the loads. Let k . Ans. ôp mm . The link in Fig. has a circular cross section and is made of a steel having a yield point stress of Y 250 MPa. Determine the magnitude of p that will initiate yield in the link. Figure Section . Let the curved beam in Fig. have a rectangular cross section with depth h and width b. Show that the ratio of the bending moment for fully plastic load Pp to the fully plastic moment for pure bending Mp Ybh 2 4 is given by the relation M _ 4D 4D2 8Z 2 Mp h V r p . Let the curved beam in Problem be made of a steel that has a flat top stress-strain diagram at the yield point stress Y 430 MPa. From the answer to Problem the load that initiates yielding is equal to PY SF P kN. Since D 3h assume M Mp and calculate Pp. Determine the ratio Pp Pỵ. Ans. Pp kN Pp Py REFERENCES 403 . Let the steel in the curved beam in Example have a flat top at the yield point stress Y 280 MPa. Determine the fully plastic moment for the curved beam. Note that the original cross section must be used. The distortion of the cross section increases the fully plastic moment for a positive moment. REFERENCES American Institute of Timber Construction AITC 1985 . Timber Construction Manual 3rd ed. New York Wiley. Anderson c. G. 1950 . Flexural Stresses in Curved Beams of I- and Box Sections. Presented to
