Homework SourseThe dimensions of a bike seating tube is given below Assumin
The dimensions of a bike seating tube is given below. Assuming this tube was constructed from the sample material as sample B calculate the following properties: The stiffness of the tube, the weight of the tube and the maximum weight the tube could carry before yielding. Sample B Properties
Tube Dimensions
| Density in kg/m3 | Ultimate Tensile Strength in MPa | Young Elastic Modulus in MPa | Total Elongation of Sample in mm |
| 7771 | 363.24 | 463496 | 9.9075 |
Solution
Solution:
Cross-sectional area, A = pi*(Do2-Di2)/4 = 3.14*79.34/4 = 62.32 mm2
(a) Axial stiffness of the tube = AE/L = 62.32*463496/300 = 96285.65 N/mm
(b) weight of the tube = Density*A*L = 7771*62.32*300/109 = 0.1453 Kg
(c) As no information is given about Yield stress or elastic strain, it is not possible to calculate any yielding information. Considering the ultimate stress, (P/A) = 363.24, P = 22637.12 N. Please verify the yiled stress and replace the ultimate stress with yield stress.
