Question

please solve #2

shaft from #1 above

2. Preliminary force analysis of the shaft in Problem 1 suggests that the reaction forces on the right side bearing are as follows: F-24 kN-5 = 3.35 kN, and = 1.5 kN. Size an angular contact bearing for the right side of the shaft for 10 kh of operation at 1400 RPM. Assume 92% reliability, ka-1. Is the large diameter of the shaft shoulder (52 mm) appropriately sized for the bearing you selected? 1) 2) The shaft, below, transmits 5 HP at 1400 RPM. The worm gear produces an axial load of 540 Ibf (2.4 kN) to the right, i.e. F 540 lbf. Note: 1 lbf-in 0.1129 N-m spur gear 38 wom gear ,shaft Dimensions in mm

Answer 1

Given:

Axial load = F_x = 2.4 kN

Radial load = F_y = 3.35 kN

F_z = 1.5 kN

Radial load = 3.35 + 1.5 = 4.85 kN

Bearing life = 10000 hours

Shaft speed = 1400 rpm

Shaft diameter = 38 mm

Reliability = 92 %

K_a = 1

Solution:

Let us assume the shaft to be of 40 mm in diameter to select the bearing from the catalogue.

To begin with, lets start with the lightest bearing.

From catalogue, d = 40 mm, D = 52 mm, B = 7 mm

Dynamic load capacity = C = 4160 N

Static load capacity = C₀ = 3350 N

Therefore, (F_a/C₀) = (2400 / 3350) = 0.716 and (F_a/F_r) = 0.49

Lets assume, X = 0.56 and Y = 1.5

Now, P = X.F_r + Y.F_a = (0.56 x 4850) + (1.5 x 2400) = 6316 N

We know,

L₁₀ = (60 x N x L_10h) / 10⁶

= (60 x 1400 x 10000) / 10⁶

  L₁₀ = 840 million revolutions

Also,

C = P (L₁₀)^1/3

C = 6316 x (840)^1/3

C = 59593.91 N

From calculated figures, bearing 6408 can be selected for the given application.

Hence, according to the able, dimensions of the bearing are

Inner diameter = d = 40 mm

Outer diameter = D = 110 mm

Width of bearing = B = 27 mm

Dynamic load capacity = C = 63700 N

Static load capacity = 36500 N

e Please Solve #2 Shaft From #1 / X Design of Machine Elements ← → C https://www.bryrbedu.org/Brij%20Data/Machine%20Design/Book/Design% 0Elements%20By%20V%20B%20Bhandarí%203 Ed.pdf Table 155 (Coutd) Table 15.5 (Contd) Principal dimensions (mm) ratings (N) imensions(mratings (N Deigmation 17 16/04/2019