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The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which is in a state of compression, in the figure shown. The system is in static equilibrium. With neat, dimensioned free body diagrams of the bar DBC and bar AB a) Determine the reactions at the roller D, and the spring force at C b) Determine the force at point B on the bar AB. What is the name of this bar? Assume angle made by bar AB with horizontal is 45 degrees. Please show all work and draw FBD of bar DBC and bar AB separately.

The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which is in a state of compression, in the figure shown. The system is in static equilibrium. With neat, dimensioned free body diagrams of the bar DBC and bar AB a) Determine the reactions at the roller D, and the spring force at C b) Determine the force at point B on the bar AB. What is the name of this bar? Assume angle made by bar AB with horizontal is 45 degrees. Please show all work and draw FBD of bar DBC and bar AB separately.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Text Transcription for Educational Website:** The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which is in a state of compression, as shown in the figure. The system is in static equilibrium. With neat, dimensioned free body diagrams of the bar DBC and bar AB: a) Determine the reactions at the roller D, and the spring force at C. b) Determine the force at point B on the bar AB. What is the name of this bar? Assume the angle made by bar AB with the horizontal is 45 degrees. Please show all work and draw FBD of bar DBC and bar AB separately. **Diagram Explanation:** - A vertical load of 100 kN is applied at the midpoint (middle section) of bar DBC. - A couple moment of 200 kNm is applied at the top of the bar DBC. - The roller at point D supports the horizontally placed bar, 2 meters away from the vertical bar. - The spring located at C is attached at the bottom of the bar DBC with a spring constant \( k = 500 \, \text{N/m} \), and is under compression. - Bar AB is inclined at 45 degrees to the horizontal and is connected at point A on the left and at point B on the bar DBC. - Additional vertical loads of 100 kN are applied at 1-meter intervals along the bar DBC below point D. - The entire vertical bar DBC is 4 meters long from point D to point C. The diagram is a detailed representation of the forces, moments, and supports acting on the mechanical system, which helps in analyzing equilibrium conditions and calculating unknown forces.
Transcribed Image Text:**Text Transcription for Educational Website:** The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which is in a state of compression, as shown in the figure. The system is in static equilibrium. With neat, dimensioned free body diagrams of the bar DBC and bar AB: a) Determine the reactions at the roller D, and the spring force at C. b) Determine the force at point B on the bar AB. What is the name of this bar? Assume the angle made by bar AB with the horizontal is 45 degrees. Please show all work and draw FBD of bar DBC and bar AB separately. **Diagram Explanation:** - A vertical load of 100 kN is applied at the midpoint (middle section) of bar DBC. - A couple moment of 200 kNm is applied at the top of the bar DBC. - The roller at point D supports the horizontally placed bar, 2 meters away from the vertical bar. - The spring located at C is attached at the bottom of the bar DBC with a spring constant \( k = 500 \, \text{N/m} \), and is under compression. - Bar AB is inclined at 45 degrees to the horizontal and is connected at point A on the left and at point B on the bar DBC. - Additional vertical loads of 100 kN are applied at 1-meter intervals along the bar DBC below point D. - The entire vertical bar DBC is 4 meters long from point D to point C. The diagram is a detailed representation of the forces, moments, and supports acting on the mechanical system, which helps in analyzing equilibrium conditions and calculating unknown forces.
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