Meriam, Kraige & Bolton — Equilibrium of Rigid Bodies: Problem 4_105

⚡ Mecademy AIENG정역학 · ch4  Problem Statement A double-axle suspension for use on small trucks is shown in the figure. The mass of the central frame is , and the mass of each wheel and attached link is with center of mass from the vertical centerline. For a load transmitted to the frame , compute the total shear force supported by the pin at . Problem 4/105 (a) Calculation of the total shear force supported by the pin at ● Calculation Process 1. Present Final Formula: First, we determine the ground reaction on each tire by considering the equilibrium of the entire system. Then, we analyze the free-body diagram of one wheel-link assembly to find the pin reaction at . Taking moments about the frame support point (located at from the centerline) allows us to eliminate that unknown force. where: is the upward normal force from the ground. is the weight of one wheel and link assembly. is the vertical reaction at pin . are the horizontal distances from the vertical centerline. 2. Substitute Values: Given values: , , , . Horizontal positions: , , , . Calculate individual forces: F40 kg35 kg 680 mmL=12 kNF A A N= 2 L+m g+2m g Fw ABx = B = 2 500 250 mm=0.25 m M = ∑ B 0⟹N(x − N x )− B W (x − ww x )− B A (x − yA x )= B 0 N W = w m g w A y A x ,x ,x ,x NwAB L=12000 Nm = F 40 kgm = w 35 kg g= 9.81 m/s 2 x = N 0.750 mx = w 0.680 mx = A 0.400 mx = B 0.250 m W = F 40×9.81=392.4 N W = w 35×9.81=343.35 N () Substitute into the moment equation about point : 3. Partial Operations: 4. Final Calcu