Three members of a truss frame into a steel gusset plate as shown. All forces are concurrent at point O. The angle =77Determine the resultant (magnitude and angle) of the three forces at must be carried by the gusset plate. The diagram illustrates a structural system with forces acting on a gusset plate. Here's a detailed breakdown:1. **Forces**: - **\( F_1 \)**: 10 kN (10,000 N) directed upwards at an angle \( \alpha = 77^\circ \) from the horizontal. - **\( F_2 \)**: 12 kN (12,000 N) directed horizontally to the left along the x-axis. - **\( F_3 \)**: 18 kN (18,000 N) directed downwards to the right at an angle \( \alpha = 77^\circ \) from the horizontal.2. **Gusset Plate**: A metal plate used to connect the structural members where the forces are applied.3. **Coordinate System**: - The x-axis is horizontal. - The y-axis is vertical.4. **Angles**: Both \( F_1 \) and \( F_3 \) are inclined at \( 77^\circ \) with respect to the x-axis.The diagram serves to illustrate the equilibrium of forces acting on a point at the gusset plate.

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Three members of a truss frame into a steel gusset plate as shown. All forces are concurrent at point O. The angle =77 Determine the resultant (magnitude and angle) of the three forces at must be carried by the gusset plate.

Three members of a truss frame into a steel gusset plate as shown. All forces are concurrent at point O. The angle =77 Determine the resultant (magnitude and angle) of the three forces at must be carried by the gusset plate.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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