Task 2.3.3:
Given: beam AE is hinged at point A and rests on the vertical rod CD. The length AB is 1 m, BC and CE are 2 m, and the forces F1 and F2 are vertical and equal to 2 kN and 4 kN, respectively.
Find: force in rod CD in kN.
Answer:
To solve the problem, we use the equilibrium equations. Let's create a vertical and horizontal system of equations for node C:
$\sum F_y=0: F_{CD}-2-4=0 \Rightarrow F_{CD}=6$ кН.
Answer: the force in rod CD is 6 kN.
This digital product is a solution to one of the problems from the collection “Problems on Strength of Materials” by the author Kepe O.?. Beautiful html design ensures ease of reading and navigation through the contents of the product.
The solution to Problem 2.3.3 is an example of a problem from the field of strength of materials in which it is necessary to determine the force in a rod under given conditions. The solution to this problem is presented in the form of a system of equations and contains detailed explanations of each step of the solution.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used as a sample when performing similar tasks. In addition, the beautiful design of the product makes it attractive and functional for use for educational purposes.
This product is a solution to problem 2.3.3 from the collection “Problems on Strength of Materials” by the author Kepe O.?.
The problem is given a beam AE, which is hinged at point A and rests on a vertical rod CD. The length AB is 1 m, BC and CE are 2 m, and the forces F1 and F2 are vertical and equal to 2 kN and 4 kN, respectively. It is necessary to find the force in the rod CD in kN.
The solution to the problem is based on the principle of body equilibrium. To solve the problem, it is necessary to create vertical and horizontal systems of equations for node C. After this, we solve the system of equations and find the value of the force in the rod CD, which is equal to 6 kN.
By purchasing this product, you receive a ready-made solution to the problem, which can be used as a sample when performing similar tasks. In addition, the beautiful design of the product makes it attractive and functional for use for educational purposes.
***
Solution to problem 2.3.3 from the collection of Kepe O.?. consists in determining the force in the rod CD, on which the hinged beam AE rests. To do this, it is necessary to calculate the equilibrium of forces acting on the system. From the problem conditions it is known that the length AB is equal to 1 m, and BC and CE are equal to 2 m. It is also known that the forces F1 and F2 acting on the system are equal to 2 kN and 4 kN, respectively, and are directed vertically.
To solve the problem, it is necessary to create equilibrium equations vertically and horizontally. Vertically, the sum of all forces must be equal to zero, since the system is at rest. Horizontal forces must also be balanced.
From the equilibrium equations, the force in the rod CD can be determined, which is equal to 7.33 kN.
***