Explanation Forces acting upward and rightward are considered as positive and the torque acting counter clockwise is considered as positive. The free body diagram is sketched below as figure 1. Here, F A B is the force exerted by the link A B , F D E is the force exerted by the link D E , θ is the angle between F A B and horizontal direction, C x is the x component of moment of the force at C and C y is the y component of moment of the force at C . Write the expression for the moment at C M C = F × D ⊥ (I) Here, M C is the moment at C , F is the force, and D ⊥ is the perpendicular distance between the C and the point where force is experienced. The moment at C is due to the forces F A B and F D E . Thus, the complete expression of M C is ∑ M C = F A B ( 5 in . ) − F D E ( 6 in .) (II) Here, ∑ M C is the sum of all moment of force at C . At equilibrium, the sum of the moment acting at A will be zero ∑ M A = F A B ( 5 in . ) − F D E ( 6 in .) =0 (III) Write the expression for the net force along the x direction. ∑ F x = − F A B cos θ + C x (IV) Here, ∑ F x is the sum of all force along the x direction, F A B cos θ is the x component of force F A B . At equilibrium, the net force along the x direction will be zero. ∑ F x = − F A B cos θ + C x = 0 (V) Write the expression for the net force along the y direction. ∑ F y = − F A B sin θ + C y − F D E (VI) Here, ∑ F y is the sum of all force along the x direction, F A B sin θ is the y component of force F A B . The negative sign for F D E in the above equation implies that, F D E is directed opposite that all other force vectors

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Chapter 4.1, Problem 4.18P

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The maximum force that can be safely exerted by link AB on the bell crank if the maximum allowable value for the reaction at C is 400 lb.

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Chapter 4.1, Problem 4.17P

Chapter 4.1, Problem 4.19P

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The maximum force that can be safely exerted by link A B on the bell crank if the maximum allowable value for the reaction at C is 400 lb .

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The maximum force that can be safely exerted by link AB on the bell crank if the maximum allowable value for the reaction at C is 400 lb.

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Chapter 4 Solutions