Determine the force modulus F at which the moment in the seal

Determine the force modulus F at which the moment in embedment A is equal to 300 N*m, if the intensity of the distributed load qmax = 20 N/m, and the dimensions AB = 1 m, BC = 2 m, CD = 3 m.

Problem 11168. Detailed solution with a brief record of the conditions, formulas and laws used in the solution, derivation of the calculation formula and answer. If you have any questions regarding the solution, please write. I try to help.

To solve this problem, you need to use the formula for calculating the moment of force.

The moment of force M is defined as the product of the force modulus and the distance from the axis of rotation to the point of application of the force:

M = F * L

where F is the modulus of force, L is the distance from the axis of rotation to the point of application of force.

In this problem, the moment in the embedment A is equal to 300 N*m, and the dimensions AB = 1 m, BC = 2 m, CD = 3 m. It is also known that the intensity of the distributed load qmax = 20 N/m.

To calculate the force modulus F, it is necessary to find the distance from the axis of rotation to the point of application of the force. In this problem, the point of application of the force is at a distance BC from the axis of rotation. Therefore, the distance L is 2 m.

Thus, we can find the magnitude of the force F using the formula for calculating the moment of force:

F = M / L = 300 N*m / 2 m = 150 N

Answer: the modulus of force F, at which the moment in embedment A is equal to 300 N*m, is equal to 150 N.

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