A round cross-sectional bar d= 32 mm is cut from steel of Sut = 715 MPa. The bar is loaded with a completely reversed stresses. What is the strength of failure (in MPa) If only 10 4 cycles are needed? (Take fully corrected Se = 350 MPa, no need to use modification fcactors) (accepted answer range +/- 5 MPa)
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- An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.A stepped bar with a hole (see figure) has widths h = 2.4 in. and c = 1.6 in. The fillets have radii equal to 0.2 in. What is the diameter d max of the largest hole that can be drilled through the bar without reducing the load-carrying capacity?A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
- A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN (see figure part a). Use a factor of safety of 1.8 against yielding. (a) If the thickness t of the pipe is one-eighth of its outer diameter, what is the minimum required outer diameter dmin? (b) Repeat part (a) if the tube has a hole of diameter dt 10 drilled through the entire tube, as shown in the figure part b.A prismatic bar with a length L = 1 m and cross-sectional area A = 1200 mm2 is supported at the ends. The bar is then subjected to a temperature increase ?T = 25°C. Calculate the complete stale of stress acting on an inclined section .rs that is cut through the bar at an angle ?? = 45*. Use E = 200 GPa and the coefficient of thermal expansion a = 12×10-6/?.Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
- The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?A round cross-sectional bar d= 30 mm is cut from steel of Sut = 715 MPa. The bar is loaded with a completely reversed stresses. What is the strength of failure (in MPa) If only 10 4 cycles are needed? (Take fully corrected Se = 338 MPa, no need to use modification fcactors) (accepted answer range +/- 5 MPa)
- The round cross-sectional bar shown below is cut from a steel with a diameter of 34 mm and has the following properties (Sut = 467 MPa, Sy = 384 MPa and fully corrected Se =179 MPa). The bar is loaded at its end with a fluctuating bending load ranges from Fmin = -423 N to Fmax = 832 N. Using a design factor of nd = 1.1, what will be the maximum length of the bar that prevents failure using Modified Goodman criteria?A forged steel bar, 50 mm in diameter, is subjected to a reversed bending stress of 250 MPa. The bar is made of 40 C8 with ultimate strength of 600 MPa. Calculate the endurance limit and life of the bar. Consider 90% reliability.A round bar, 40 mm in diameter, has a shallow circumferential notch with a depth c = 2 mm with a root radius r = 50 microns. The bar is made of a low carbon steel with a yield strength of σy = 300 MPa. It is loaded axially with a nominal stress, σnom. At what value of σnom will yield first commence at the root of the notch?