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The motion of a vibrating particle is defined by the position
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- 1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z), and (1/GJo)(dΦ(Z)/dz) ?F1=603N F2 =818N show a detailed solution pleaseP-8. The steel shaft shown in the figure rotates at 6.40 Hz with 42 kW taken off at A, 27 kW removed at B, and 69 kW applied at C. Using G = 110 GPa. The angle of rotation of gear A relative to gear C is_ degrees. A B 55 mm ¢ 65 mm ¢ 4 m 2 m 2.289 4.573 6.057 9.552 O 11.374
- (a) e = 0.366; Please solve and explain BA.) It is the boundary condition for fixed support Choices: Both choices Y=0 Y’=0 Either of the choices B.) It is a type of simple stress acting parallel to an area Choices: Flexural stress Shear stress Axial stress Bearing stress C.) For concentric row of bolts in a coupling connection, the shear deformations in the bolts is proportional to the: Choices Modulus of rigidity Diameter of bolt circle Radial distance Number of bolts note: please help us in the word meaing sample problems thank youA spur gear transmission includes a stepped steel shaft as shown in the figure. The applied torque induces a constant torsion shear stress on the surface of 120 MPa. The applied bending moment induces an alternating bending stress on the surface with a magnitude of 100 MPa. These stress values include the effect of the stress concentration. r °C) M M T T D d The steel has an ultimate strength of 552 MPa and a yield strength of 434 MPa. All of the surfaces are machined, and the hardness is 160 Bhn. The operating temperature stays below 300 °F. A. Estimate the endurance limit for this steel with a reliability of 50%. The shaft diameter is in the range resulting in a gradient factor, CG = 0.9. The bending load factor, CL = 1, is appropriate for this state of biaxial stress. B. Given the defined state of stress and the calculated endurance limit, estimate the safety factor.
- A V-belt pulley is made of cast iron with 240 mm. in diameter is connected to a 360 mm. diameter driven pulley on the parallel shaft that runs on the same direction. The center distance between the pulleys is 520 mm. Determine the following: The length of arc for angle 8 in mm (Example for the answer: 388. 62) 240 mm Q X 520 mm 8 360 mm1 Example 2 Steel plates, both 8mm thick, No washers held together with M10 Corse Threaded bolt the bolt is 30mm long, threaded length of 26 mm d = 10 mm At = 58.0MM тв 6 bolt Find bulr stiffness (N/HM) ? member stiffness (N/mm)? and siffness constant of the join; C ? |||| SSolve the problem. A 11-in. connecting rod in an engine connects the wrist pin of a piston at point A to the end of a second rod at point on the crankshaft. As the piston moves forward and back, the crankshaft is turned counterclockwise around point C. The stroke length of the engine is the distance that the piston travels (one way) with its cylinder. If the stroke length is 4 in., and the engine turns at 600 rpm, write a model representing the distance d (in inches) from A to the center of the crankshaft Cas a function of time t (in minutes). Assume that at t = 0, the piston is at its farthest point from the crankshaft. B B C C B A A stroke length
- After recording the applied twisting moment and resulted angle, fill the following table MT (N.m) T. MPa (degree) (rad.) Now, the twisting moment-twisting angle and shear stress-shear strain curves can be plotted, then determine maximum shear stress, shear stress at proportional limit and modulus of rigidity. 4-6 Problem The following torsion test data were obtained for AA6061-T6 aluminum alloy has a round cross section with 30mm outer diameter, 0 inner diameter and 100 length. 0 32 130 Twisted angle (): 0 1 Torque (N.m): 286 347 487 5.5 591 786 910 1105 1163 1235 1222 3.5 6.5 7.5 9. 10.5 13.5 16.5 21.5 25.5 > Plot the torque-twisted angle curve and determine the proportional limit on it. Plot the shear stress-strain curve the determine the shearing strength and modulus of rigidity. Prof. Adnan N. Abood Asst. Lec. Zainah Waheed 25S-3) In order to carry the 100 KN force safely on the frame in Figure 3, find the diameters of the B and D pins (B single cut D double cut), the thickness t of the BD bar. (Safety Cat.(S)=2, T = 250 Nmm2 o -350 N/mm2) 40.a mm 300 mm ТАКE a-9,6 60.a mm 50 mm D Yatağı 100 mm C t mm |F=100 kN4- 100 ft tape was used to measure line DF; if the correct tape length is 100.05 ft, the field temperature is 37°, the standard temperature is 20°, the thermal expansion coefficient is 0.00004, Calculate the corrected distance if the measured one is 425.50 ft.