Derive the formula for the maximum shear and maximum bending moments for Case 1 to case 8.
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Derive the formula for the maximum shear and maximum bending
moments for Case 1 to case 8.
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- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.4kN/m uniform spring load h = 2b allowable normal stress 12MPa h(min) = ?The following shaft is made of steel (Sut = 520 MPa, Se = 260 MPa) and is subjected to 3 loads at C; an axial load P, a bending force F, and a torque T. The shaft is fixed at its left end A. A fillet of 2 mm radius exists at B. The loads fluctuate such that Fmin = 0 and Fmax = 100 N, Pmin = 0 N and Pmax= 1000 N, and Tmin = 0 and Tmax = 100 N.m. For the shaft, find the factor of safety for infinite life (using Case 3 safety factor calculation) at B. Assume all fatigue stress concentration factors are equal to 1.
- Q.2 A hollow simple supported shaft 3m made of steel with di/do of 0.6. The shaft is subjected to a bending force of 4 KN and transmits 52 KW with 150 rpm. Find the outer and inner diameter of the shaft, if the ultimate shear stress of 600 MPa and allowable compression stress of 100 MPa, tack safety factor 7.Given: l1=2l; l2=1,2l; l3=1,5l; M1=-1,7M; M2=0M; M3=1,4M. Parameter of length l=40cm; parameter of load М=410Nm. The shaft is made of steel with yielding shear stress τY=190MPa; factor of safety n=1,9. Find: the diameter (in mm) of cross section from strength calculation d = ?Given: l1=1,3l; l2=1,9l; l3=1,2l; M1=-0,6M; M2=-1,6M; M3=1,9M. Parameter of length l=40cm; cross section diameters: d=41mm; d0=26mm. The shaft is made of steel with yielding shear stress τY=250MPa; factor of safety n=1,6. Find: the allowable value of load parameter (in Nm) MA = ?
- A 16 ft steel line shaft has no bending action except its own weight. What power in hp can shaft deliver at a speed of 200 rpm. Consider that the torsional deflection wm not exceed 0.08o/ft of length.The connecting rod of a four stroke cycle Diesel engineis of circular section and of length 550 mm. The diameter and stroke of the cylinder are 150 mm and240 mm respectively. The maximum combustion pressure is 4.7 N/mm2. Determine the diameter ofthe rod to be used, for a factor of safety of 3 with a material having a yield point of 330 MPa.Find also the maximum bending stress in the connecting rod due to whipping action if the engine runsat 1000 r.p.m. The specific weight of the material is 7800 kg/m3. [Ans. 33.2 mm ; 48 MPa]1.1. State three underlying assumptions in the formulation of the torsion formula, .TGJrl (3) 1.2 A hollow shaft has to be designed for a marine engine delivering 1200 kW when running at 120 r/min. The maximum allowable shear stress is 50 MPa and the maximum torque to be transmitted by the shaft is 30 % greater than the mean torque. The internal diameter of the shaft is 50 % that of the external diameter. Calculate: 1.2.1 The dimensions of the shaft and the angle of twist of the shaft over 3 m when transmitting the above torque (G = 80 GPa). (14) 1.3 Determine the torsional rigidity of a 300 mm long steel shaft with a diameter of 50 mm. (G = 80 GPa
- A turbine shaft transmits 500 kW power at 900 rpm. The permissible shear stress is 80N/mm² while twist is limited to 0.5º in a length of 2.5 m. Take G = 0.8x10⁵ N/mm², on thebasis of torsional rigidity;i.Determine diameter of shaft if solid shaft is used.ii.If hollow shaft is chosen with di/do = 0.6, determine the suitable diameters of theshaft. please write with ball pen.. thank youA solid circular shaft has a diameter of d mm and is made from steel, which fail when tested in simple tension test at a stress of 150 MPa. The shaft was subjected by bending moment and torque which are 22.2 kNm and 44.4 kNm respectively. Calculate the minimum allowable shaft diameter, d according to:- (a) Tresca failure criterion (b) Von Mises theory of elastic failurecampute the bending stress number for the goer pair described by the given data beLow. KS= 1, Km= 1,21, F= 2.00 in, DP= 3,33 in, NG= 70, Np=20 hp = 1750v. p.m, Av=11, Pd =6, Tp= 900ib V1= 1527 ft/min The matarial used for pinion a gear is cast iron