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- Policie Current Attempt in Progress A steel [E = 29900 ksi, a = 6.5x10-6/°F] bar is held between two rigid supports. The bar is stress free at a temperature of 72°F. The bar is then heated uniformly. If the yield strength of the steel is 45 ksi, determine the temperature at which yield first occurs. Answer: T= i °F904. To avoid interference, a link in a certain machine is de- signed so that its cross-sectional area is reduced one-half at section A-B, as shown in Fig. P-904. Compute the maximum tensile stress developed across section A-B if (a) the cross section of the link is 160 mm square and (b) the cross section is a circle 160 mm in diameter. Ans. (a) 75.0 MPa; (b) 85.3 MPa 80 mm P = 240 kN 80 mm $2 B Figure P-904.904. To avoid interference, a link in a certain machine is de- signed so that its cross-sectional area is reduced one-half at section A-E, as shown in Fig. P-904. Compute the maximum tensile stress developed across section A-B if (a) the cross section of the link is 160 mm square and (b) the cross section is a circle 160 mm in diameter. Ans. (a) 75.0 MPa; (b) 85.3 MPa 80 mm P = 240 kN 80 mm B Figure P-904.
- 3. A steel bolt through a 31-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 81 degrees Fahrenheit. The cross-sectional area of the bolt is 0.09 sq. inch and the cross-sectional area of the tube of 0.30 sq. inch. a. Find the thermal deformation (in inches) of the steel bolt. (Write your answer to 6-decimal places.) b. Find the thermal deformation (in inches) of the aluminum tube. (Write your answer to 6-decimal places.) c. Find the stress (in psi) induced in the steel bolt by the temperature change. d. Find the stress (in psi) induced in the aluminum tube by the temperature change.Q stress determination in beams., Solid.A point in a body is subjected to a state of stress as shown where the magnitudes of the stress components are o = 55 MPa and o = 75 MPa. Find the normal strain in the z direction ( €) if the body is made of Titanium Ti-6AI-4V B. (assuming that the material behaves linearly elastic). note: e-6= 10 OB Select one: O 6.00e-5 O2.25e-4 O-3.90e-4 O-1.65e-4 O 1.64e-4 O 0.000 3:11 PM O G 4) ENG 1/31/2021
- The brass shell (αb511.6 3 10–6/°F) is fully bonded to the steel core (αs56.5 3 10–6/°F). Determine the largest allowable increase in tem-perature if the stress in the steel core is not to exceed 8 ksi.4) 4 points Calculate the minimum net area for the plate shown below connected to 14 mm thick gusset plate with 22 mm bolts. Plate 12 mm thick 35mm 20mm 20mm 150 mm 20mm 20mm 35mm „Gusset 14 mm thick 35mm 30mm 30mm 40mm a. 936 mm? b. 918 mm? c. 900 mm? d. 887 mm?A 5.2-m-long aluminum tube (1) is to be connected to a 2.2-m-long bronze pipe (2) at B. When put in place, however, a gap of 9 mm exists between the two members, as shown. Aluminum tube (1) has an elastic modulus of 69 GPa and a cross-sectional area of 1980 mm2. Bronze pipe (2) has an elastic modulus of 93 GPa and a cross-sectional area of 3970 mm2. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses ?1, ?2 produced in each of the members. (b) the displacement (change in length of material (2), up is positive) uB of flange B with respect to support A. 5.2 m 2.2 m Answers: (a) 0₁ = (b) Ug = C (1) B (2) -95.40 1.126 9 mm MPa, 0₂ = mm. -47.58 MPa
- If the gauge is made of a material having a yield stress equal 200 MPa, determine theminimum required diameter d. Using a factor of safety (F.S. = 2)An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Fig. P-108. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100 MPa. Figure P-108 PARTNER Aluminum A=400 mm² Steel A = 500 mm² 2.5 m 2.0 m Bronze A = 200 mm² 1.5 m 2P904. To avoid interference, a link in a certain machine is de- ed so that its cross-sectional area is reduced one-half at section r. as shown in Fig. P-904. Compute the maximum tensile stress developed across section 4-B if (a) the cross section of the link is 160 mm square and (b) the cross section is a circle 160 mm in diameter. Ans. (a) 75.0 MPa; (b) 85.3 MPa 80 mm P-240 kN 80 mm Flgure P-904.