Meriam, Kraige & Bolton — Statics of Particles: Problem 2_138

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/138 The portion of a bridge truss is subjected to several loads. For the loading shown, determine the location in the x-z plane through which the resultant passes. [Given values from the diagram]: - Height of the truss: - Panel length of the top chord: per segment (4 segments shown) - Horizontal offset between top and bottom nodes: - Width between the two parallel trusses: - Applied loads (all directed vertically downward): - at the first top-back node. - at the origin node (bottom-front). - at the next bottom-front node. - at the fourth bottom-front node from . - Coordinate system: Origin at a bottom node on the front truss; -axis along the bottom chord, -axis vertical, -axis along the bridge width. Problem 2/138 1. Coordinate Analysis of Forces First, we identify the coordinates for each of the four vertical forces based on the provided diagram and the defined origin . All forces are acting in the negative -direction, so . Force : This force acts at the first top node of the back truss. Given the horizontal offset of to the left of , the height of , and the truss width of , its position is: Force : This force acts directly at the origin on the front truss: Force : This force acts at the bottom node one panel length () to the right of on the front truss: Force : This force acts at the bottom node three panel lengths to the right of (skipping one node at ) on the front truss: h=4 m3 m 1.5 m w=3 mF = 1 75 kNF = 2 250 kNO F = 3 10