Assuming that cycle is in the stationary condition and the loads acting on the wheels of the bicycle are due to Rider’s weight as well as Bicycle’s weight. Also assuming the weight of the bicycle as 15 kg and the masses of the rider as stated above as m1, m2 and m3. The masses of the rider as well as mass of the bicycle are summed up and then the combined mass (M) is converted into weight through given equation (6) below: W = M * g (6) Table 3 shows the masses of rider, mass of bicycle and Total combined mass. The Total combined mass is converted to Total combined weight (W). Mass of Rider (m) kg Mass of Bicycle (mb) kg Total Combined Mass (M) kg Total Combined Weight (W) N 1. 70 15 85 833.
85 2. 85 15 100 981 3. 100 15 115 1128.15 The Normal Reaction Force that acts on the wheels of the bicycle is due to the Total Combined Weight as shown in the equation (7) below. The Normal Reaction Force produced acts in vertically upward direction as shown in Figure 5. W=N (7) From the Center of Gravity, the Total Combined Weight acting on the wheels gets distributed.
On the rear wheel the Total Combined Weight Acting is 2/3 times of Total Combined Weight (W) and on the front wheel is 1/3 times of Total Combined Weight (W) 5 as shown in Figure 5.As the loads due to Total Combined Weight (W) on the front wheel is 1/3 times, the weight acting on the front wheel is as shown in Table 4.Nodal Stresses generated in the front wheel due to the weight of the rider as well as the weight of the bicycle should be less than the Safe Design Stress for Static Loads i.
e. 142.5 N/mm2.The Maximum Stress generated in the front wheel for maximum weight on the front wheel is 70.37 N/mm2 as shown in Table 4 which is less than the Safe Design Stress i.e. 142.
5 N/mm2 . Thus the design is safe.