Meriam, Kraige & Bolton — Statics of Particles: Problem 2_116

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/116 The gantry crane of Prob. 2/93 is repeated here, and the tension in cable AB is 14 kN. Replace this force as it acts on point A by an equivalent force–couple system at O. Point B is located at the center of the container top. Problem 2/116 1. Coordinate Analysis and Identification of Points First, we must identify the coordinates of points and from the geometry provided in Problem 2/116 and its reference Problem 2/93. We establish the origin at point . Coordinates of Point (the trolley on the bridge): The gantry track is located at a distance of from the along the . The trolley is at an additional offset of from the track along the bridge (which is parallel to the ). Thus, . The bridge centerline is at a distance of from the along the . Thus, . The height of the bridge is given as . Thus, . Point . Coordinates of Point (center of the container top): Point is on the top of the container, which has a height of . Thus, . The center of the container is offset by from the track along the . Thus, . The center of the container is offset by from the bridge centerline along the . Thus, . Point . 2. Determination of the Tension Force Vector The tension force acts from toward with a magnitude . AB O(0,0,0) A 12 my-axisx-axis A12 m x-axisx = A 12+12=24 m 16 mx-axisy-axis y = A 16 m 20 mz = A 20 m A=(24,16,20) m B B3 mz = B 3 m 5 mx-axis x= B 12+5=17 m 9 m y-axisy = B 16+9=25 m B=(17,25,3) m F FABT=14 kN ● Calculation Process 1. Determin