The formula to calculate Longitudinal Strength of Composite is:

\[ \sigma_{cl} = \tau_m (1 - V_f) + \sigma_f V_f \]

Longitudinal Strength of Composite refers to its strength along the direction of the fibers or reinforcement. The Stress in Matrix is the stress at the failure of the composite, and the Tensile Strength of Fiber is the maximum stress a material can withstand while being stretched or pulled before breaking.

Let's assume the following values:

- Stress in Matrix = 70,100,000 Pascal
- Volume Fraction of Fiber = 60%
- Tensile Strength of Fiber = 6,375,000 Pascal

Using the formula:

\[ \sigma_{cl} = 70,100,000 (1 - 0.6) + 6,375,000 \times 0.6 = 31,865,000 \text{ Pascal} \]

The Longitudinal Strength of the Composite is 31,865,000 Pascal.

Stress in Matrix (Pascal) | Volume Fraction of Fiber (%) | Tensile Strength of Fiber (Pascal) | Longitudinal Strength of Composite (Pascal) |
---|---|---|---|

70100000 | 0.5 | 6375000 | 38,237,500.000000000000000 |

70100000 | 0.55 | 6375000 | 35,051,250.000000000000000 |

70100000 | 0.6 | 6375000 | 31,864,999.999999992549419 |

70100000 | 0.65 | 6375000 | 28,678,749.999999988824129 |