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- Prove each of the following equations separately 30 0x - 270 ([1-sin() sin(³9)] y Exy| Oxx 30 cos 1+ sin sin 270 30 K cos() sin() cos(32) K₁ x 2.70 Stresses near the tip of a crack in an elastic material. Crack FIGURE COSProb 02: The two rods are used to support a crate with weight of 2kN. The rod are made of the same material and of the same diameter. If the failure tensile normal stress for this material is 200 mPa, what is the minimum required diameter for the rods in mm? (2 points) 45° 30°Two cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the average normal stress must not exceed 175 MPa in rod AB and 150 MPa in rod BC, determine the smallest allowable values of d1 and d2. 300 mm 250 mm A B C -d₁ 40 kN -d₂. 30 kN
- Two cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the average normal stress must not exceed 175 MPa in rod AB and 150 MPa in rod BC, determine the smallest allowable values of d1 and d2. 300 mm 250 mm A B C dy 40 kN -dr 30 kNA steel tube is rigidly attached between an Al rod and a bronze rod. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress of 80MPa in Al, 150MPa in steel and 100 Mpa in bronze. -1.0m 200 mm² 2.0m Steel 400 mm² 2P -2.5 m Bronze 500 mm²Dates Name: Times Course: CIOSS sectional area =0.0012 m² 150 kW 4m A. 4m 4m E 4m thar 100 kN 200 ka t Value of RA to 2. Value RF stress ik member BE stress in member 8D membes 4. kla 5. Stress in CE
- 2.) When an axial load is applied to the ends of the bar shown, the total elongation of the bar between joints A and C is 0.15 in. Ing segment BC, the normal strain is measured as 1,300 µin/in. Determine: (a) the elongation of segment BC; (b) the normal strain in segment AB of the bar. A tuhe with R 10u106 ni i 11The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/2021904. 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.
- E- 10IGPA A,-2 cm? 1) Determine the nodal displacements, average element stress values and support reactions dividing the bar into five elements (Use both the elimination method and E-69 GPa 4,-Sem 20kN E-73GP E-10IGPa penalty approach handling boundary conditions.) 50 cm- 40 cm 50 cmConsider the compound system consisting of three sections with cross-sectional areas 3A, 2A, and A and loaded as shown. Which of the following gives the maximum average normal stress in the system shown? 6P 4P A5.5 P/A B.4.5 P/A 3A 2A A 3P C.4 P/A D.3 P/A 4P 6P Which of the following is the highest value of stress within the strain hardening region of a typical elasto-plastic material subjected to tensile test? A. Elastic Limit B.Yield Stress C.Ultimate Stress D.Proportional Limit What is the lateral strain of a uniaxially loaded member if its longitudinal strain is 0.02 and its Poisson's ratio is equal to 0.3? A.+0.006 B.-0.006 C.+0.667 D.-0.667 Which of the following is the highest value of stress within the elastic region of a typical elasto-plastic material subjected to tensile test? A.Yield Stress B.Elastic Limit C.Ultimate Stress D.Proportional LimitDetermine the normal strain EAB in wire AB.