(Solved): The constructional details of an exhaust valve of a diesel engine are shown in Figure 4. A helical ...

The constructional details of an exhaust valve of a diesel engine are shown in Figure 4. A helical compression spring is required to develop a valve operating mechanism. The load varies for this mechanism from \( 14 \mathrm{~N} \) to \( 1050 \mathrm{~N} \) with \( 7 \mathrm{hz} \). The stiffiness of the spring for the valve is \( 2400 \mathrm{~N} / \mathrm{m} \). Due to assembly considerations, the spring wire's free length can't be more than \( 100 \mathrm{~mm} \), and the solid length can't exceed \( 40 \mathrm{~mm} \). The manufacturer's available spring wire diameters are \( 2.2,2.5 \) and \( 2.7 \mathrm{~mm} \). While using a fatigue design factor \( \mathrm{nf} \) of \( 1.4 \), robust linearity is \( 0.14 \) with the Goodman-Zimmerli. fatigue-failure criterion, design the helical compression spring with fluctuating loading conditions with appropriate wire materials. Consider the density of the chosen material is \( 7600 \mathrm{~kg} / \mathrm{m}^{3} \).