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- Calculate Young's modulus for an iron crystal when tension is applied along [2 -2 1] direction. S11=7.6 (TPa)-', S12 = - 2.8 (TPa)-', S44 = 8.6 (TPa) -!A uniform beam of weight Wis supported by the two rods, the lower ends of which are at the same level just before the beam is supported, as shown in figure. The ratio of the areas Aluminium (E = 70 GPa) 2 m 1.5 m W 3 m 3m Aaluminium Asteel Steel (E = 200 GPa) 0.5 m of the rods so that the beam will be horizontal after it is attached to the rods isThis is Structural Theory. Evaluate the structural stability of the following structures. If stable, determine the degree of indeterminacy (DI) and if unstable, state the reason.
- Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 30 mm. Assume a = 4.9, b = 2.3,0=29° T R aR Titanium e Copper bR --x1. An element whose material has Sy = 280 MPa, Sut = 330 MPa, and Suc = 460 MPa is loaded as shown. Determine the safety factors of the following elements based on these criteria. (a) MSST (b) MDET (c) MNST = -40 MPa T Txy = 40 MPa σx = 30 MPaTwo wires are welded together end to end. The wires are made of the same material, but the diameter of one is twice that of the other, di = 2 d2. They are subjected to a tension of T= 4.60 N. The thin wire has a length of L2 = 40.0 cm and a linear mass density of 2 = 2.00 g/m. The combination is fixed at both ends and vibrated in such a way that two antinodes are present, with the node between them being right at the weld. (a) What is the frequency of vibration? (b) What is the length of the thick wire, L1 =? N A N A N o d2 L,, µi L2, H2
- Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 30 mm. Assume a = 4.9, b = 2.3, 0=29° y R 1 aR Titanium Copper bR - XMechanics of Deformable Bodies The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? 21 -1.5 →1.5 Bronze Steel A = 900 mm2 E= 200 GPa L= 1.5 m A = 300 mm? E = 83 GPa L=2 mif a certain type of steel has a ultimate strength of 185 ksi, calculate the value of constant a(alpha) for the material. choices: a. 0.00438 b 0.000438 c. 0.000348 d. 0.0003438
- Solve d part only in 2 hours it's mechanical engineering question so plz don't reject and solve itAt a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.7 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 8.6 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. 90.2°F O 69.9°F 139.2°F 103.5°F O 111.0°F B ↑ 2 in. ↓ 44 in. -0.04-in. gapAt room temperature, a 0.6-mm gap exists between the ends of the rods as shown in Figure Q2 (a). At a later time when the temperature has increased by 120 degree Celsius, determine the followings: 0.6 mm 350 mm- ks A w B Figure Q2 (b) - 300 mm A Aluminum A = 2000 mm² E = 75 CPa Stainless steel A = 800 mm² E = 190 GPa a = 17.3 x 10-6/°C a = 23 x 16-6/°C Figure Q2 (a) a.) Calculate the support reaction R due to the increase in temperature b.) Calculate the stress and change in length of the stainless steel rod c.) If the rods are connected through the gap with a spring having spring constant ks = 10x10⁹ N/m as shown in Figure Q2 (b), recalculate the reaction R when the increase in temperature is 60 degress Ce is. B