The shaft of a gear box supporting two spur gears B and C is shown in figure below. The shaft is mounted on two bearings A and D. The pitch circle diameters of gears B and C are 900 and 600 mm respectively. The material of the shaft is steel FeE 580 (Sut = 770 and Syt = 580 N/mm2). The factors k, and k, are 1.5 and 2.0 respectively. Determine the shaft diameter. Assume that the gears are connected to the shaft by means of keys.

Determine the minimum required diameter of the shaft CD.

Problem : A train of spur gears with 20°full-depth involute teeth is shown in the Figure below. Gear 1 is the driving gear and transmits 50 kW power at 300 rpm to the gear train. The number of teeth on gears 1, 2, 3 and 4 are 30, 60, 25 and 50 respectively, while the module for all gears is 8 mm. Gears 2 and 3 are mounted on the same shaft. Gear 1 is rotating in the clockwise direction when seen from the left side of the page. The shaft is made of plain carbon steel 40C8 (Syt = 380 N/mm2) and the factor of safety is 2. Using maximum shear stress theory, estimate suitable diameter of shaft. 150 500 125 3 B1 B2

The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F₁ = 1600 lbf and F2 = 640 lbf. A steady torque of 1600 lbf-in is being transmitted through the shaft between the points of application of the forces. 1 / in ] A in [lin -10 in- F₁ in F₂ -10 in- All fillets in R. 12in] 3 in The value of the notch sensitivity is The value of the fatigue stress concentration factor is in NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. What is the value of the theoretical stress concentration factor for torsion, the notch sensitivity, and the fatigue stress concentration factor? (You must provide an answer before moving to the next part.) The value of the theoretical stress concentration factor for torsion is

Gear shaft ABCDE is subjected to the torques shown in the figure. Find the internal torque in each seg- ment, and then plot the torsional moment diagram. Assume that the spacing between gears is constant, i.e., 10 in. T1 = T2 = 1000 lb-in. 500 lb-in. A B T3 = 800 Ib-in. C Ta = 500 lb-in. d = 1.0 in. D T; = 800 lb-in. E

600 Nm An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in Figure. Using G = 28 GPa, determine the relative angle of twist of gear D relative to 900 Nm 1100 Nm 2 m 800 N-m gear A. 3m 2 m

The two solid steel shafts shown in the figure are connected together using gear wheels. The length of the CD shaft is Lcd=2 m and the length of the AB shaft is LAB= 1.5 m. The radius of gear C is rc=45 mm and the radius of gear B is rB= 90 mm. The CD and AB shafts rotate freely in the bearings on which they are supported. Also, shaft AB is fixed at point A. Each shaft has a diameter of 20 mm and a shear modulus of G=65 GPa. When a torque of T= 450 N.m is applied to the CD shaft from the D end;a) Calculate the torsion angle on shaft AB. (Write your result in radians.)b) Calculate the total rotation (torsion angle) of the D end of the CD shaft. (Write your result in radians.)