=Given the following data. A Ix = le + Ad? h-10 in -C b + h3 + Ad? d-5 in 12 b-5 in 416.6 in^4 O 50 m^2 O 1666.6 in^4 50 in^2 * =Given the following data. Ix =Given the following data. Ic Ix = le + Ad² Ix = le + Ad² h-10 in b+ h3 b + h3 Ix = 12 + Ad² Ix = 12 + Ad? d-Sin d-5 in b-5in 416.6 in^4 1666.6 in^4 1555.50 in^4 416.6 in^4 1666.6 in^4 50 in^2 50 m^2 5166.6 in^4 O
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- The Euler’s theory holds good for ________ Select one: a. Long column b. Short column c. Short shaft d. Long shaftData:P = 2 kipd = 3.6 inchw = 305 millimeterst = 0.03 meterr = 5.08 centimeterh = 0.6667 feet a) Calculate the maximum static stress in the material (in MPa). b) Estimate the theoretical stress concentration factor at the fillet c) Estimate the theoretical stress concentration factor at the holeThe material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm objects falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie: 1. The minimum wire diameter is most nearly A. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in 2. The mean coil diameter is most nearly A. 8.6 in B. 10 in C. 13 in D. 16 in 3. The number of active coils is most nearly A. 8 B. 11 C. 12 D. 14
- The shaft and the flange of a marine engine are to be designed for flange coupling, in which the flange is forged on the end of the shaft. The following particulars are to be considered in the design: Power of the engine=2.4 MW Speed of the engine 80 r.p.m Permissible shear stress in bolts and shaft = 60 MPa Number of bolts used =6 Pitch circle diameter of bolts=1.6* Dimeter of shaft Find 1.diameter of shaft; 2.diameter of bolts; 3.thickness of flange; and 4.diameter of flange. (25 degreaShear modulus: Alloys Malleable ASTM A-197 ;68 Gpa, and Cast Iron Gray ASTM 20:27 GPa Alloys Malleable ASTM:9.8 *10^3 ksi and Cast Iron Gray ASTM :3.9*10^3 ksiA hollow shaft with outside diameter of 14 cm and wall thickness of 0.8 cm transmits 400 KW at 400 rpm. What must be the angular deflection if the length is 5 m? G= 12 Mpsi
- The material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm object falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie:1. The minimum wire diameter is most nearlyA. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in2. The mean coil diameter is most nearlyA. 8.6 in B. 10 in C. 13 in D. 16 in3. The number of active coils is most nearlyA. 8 B. 11 C. 12 D. 146 6 - A) -22.124 j NmB) (-22.124) k NmC) (-42.124) i NmD) (-12.124) i NmE) (-32.124) j NmProb # 1.A round bar made from SAE 1025 low Carbon steel is to support a direct tension load of 50,000 lbs. Using a factor of safety of 4, and assuming that the stress concentration factor, k = 1, What is the suitable standard diameter. Yield stress is 40,000 psi. a. 3 ½ inch b. 2 ¼ inch c. 2 9/16 inch d. 1 ½ inch
- At a temperature of 60°F, a 0.03-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 3.0 in. and a thickness of 0.70 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.9 in. and a thickness of 0.70 in. The supports at A and C are rigid. Assume h1=3.0 in., h2=1.9 in., L1=27 in., L2=47 in., and Δ=Δ= 0.03 in. Determine(a) the lowest temperature at which the two bars contact each other.(b) the normal stress in the two bars at a temperature of 260°F.(c) the normal strain in the two bars at 260°F.(d) the change in width of the aluminum bar at a temperature of 260°F.At a temperature of 60°F, a 0.03-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 3.0 in. and a thickness of 0.70 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.9 in. and a thickness of 0.70 in. The supports at A and C are rigid. Assume h1=3.0 in., h2=1.9 in., L1=27 in., L2=47 in., and Δ=Δ= 0.03 in. Determine:3) A flange coupling is to connect two 60mm shafts. The hubs of the coupling are 120mm, 100mm thick, & the flange webs are 20 mm thick. Six M16 bolts fasten the flange from a 165 bolt circle. The keyway is 15mm shorter than the hub’s thickness & the key is 15mm x 15mm. The coupling transmits 45kW @ 450rpm. The yield point in shear for all materials is half of its yield point in tension or compression. Yield tensile strength is 0.75 of ultimate strength of the materials. The Sult is 448N/mm2 . Find: (a) the shear stress in key; (b) the bearing stress in key; (c) the shear stress in bolts; (d) bearing stress in flange.