(Solved): The bell-crank mechanism shown is in equilibrium for an applied load of \( \mathrm{P}=3 \mathrm{kN} ...

The bell-crank mechanism shown is in equilibrium for an applied load of \( \mathrm{P}=3 \mathrm{kN} \) applied at A. Assume \( a=195 \mathrm{~mm}, b=145 \mathrm{~mm}, c= \) \( 6 \mathrm{~mm}, t=8 \mathrm{~mm} \) and \( \theta=55^{\circ} \) Determine the minimum diameter \( d \) required for pin \( B \) for each of the following conditions: (a) The shear stress in the pin may not exceed \( 40 \mathrm{MPa} \). (b) The bearing stress in the bell crank may not exceed \( 100 \mathrm{MPa} \). (c) The bearing stress in the support bracket may not exceed \( 165 \mathrm{MPa} \). Calculate the force \( F_{2} \) in the rod that is connected at \( C \). Assume the direction to the right or up as positive. otherwise as negative. Answer: \( F_{1}= \) Calculate \( B_{\text {w}} \), the horizontal component of the reaction force on the bell crank at \( B \). Answer: \( \mathrm{B}_{2}= \) eTextbook and Media Using multiple attempts will impact your score. \( 20 \% \) score reduction after attempt 4 Part 3 Calculate \( B_{w} \), the vertical component of the reaction force on the bell crank at B, Answer: \( B_{\psi}= \) Calculate \( |B| \), the resultant reaction force on the bell crank at \( B \). Answer: \( |B|= \) eTextbook and Media o Attempts: unlimited Using multiple attempts will impact your score. 20 scare reduction after attempt 4 Part 5 Calculate the minimum pin cross-sectional area (across the two brackets) for which the average shear stress in the pin does not exceed \( 40 \mathrm{MPa} \). Also. calculate the corresponding minimum pin diameter. Answers: Calculate the minimum projected area (across the two brackets) of the pin at B for which the bearing stress in the bell crank does not exceed \( 100 \mathrm{MPa} \). Also, calculate the corresponding minimum pin diameter. Answers: Attempts: unlimited Using multiple attempts will impact your score. \( 20 \% \) score reduction after attempt 4 Part 7 Calculate the minimum projected area (across the two brackets) of the pin at B for which the bearing stress in the support bracket does not exceed 165MPa. Also, calculate the corresponding minimum pin diameter. Answers: