What is the binding force of hinge restraint

1. Using lever balance principle
1) take a as the fulcrum
the vertical component of CD × AC=P × AB
the vertical force of CD = 20KN
the horizontal force of CD = vertical force = 20KN (45 ° So the force on CD = 20 × Root 2Kn

2) take point C as fulcrum
vertical force of point a (downward) × AC=P × CB
the force in the vertical direction of point a = 10kN

3) AB is taken as the load-bearing object and is in equilibrium. The resultant force in the horizontal direction is 0, so the magnitude of the force in the horizontal direction of point a = the component force of Cd in the horizontal direction = 20KN, and the direction is opposite (left)

so the force in point a is a vertical downward force = 10kN, One is the horizontal left force of 20KN
so the resultant force at point a is the root sign (10 & # 178+ 20²= 22.4KN

2. It's d. There must be no force on the x-axis

3. class

4. For the fixed hinge, the binding force can be expressed by two components, which are perpendicular to the mounting surface and parallel to the mounting surface. Their resultant force is equal to the resultant force of the external force acting on the hinge, and the direction is opposite. For the sliding collar chain, there is only the binding force perpendicular to the mounting surface, and there is no binding force parallel to the mounting surface

5.

The method to determine the direction of constraint reaction is as follows:

in force analysis, the positive direction is assumed first, then the equilibrium equation is written to solve, and finally the specific force direction is determined according to the sign of the result. A positive sign indicates that the actual direction is consistent with the assumed direction, and a negative sign indicates that the actual direction is opposite to the assumed direction

for the fixed hinge, the binding force can be expressed by two components, which are perpendicular to the mounting surface and parallel to the mounting surface. Their resultant force is equal to the resultant force of the external force acting on the hinge, and the direction is opposite. For the sliding collar chain, there is only binding force perpendicular to the mounting surface, and there is no binding force parallel to the mounting surface

extended data:

in engineering, members are often supported on the foundation or another static member by bearings. The support is a kind of restraint to the member. The restraint reaction of the support to the component it supports is also called the support reaction

The structure of

bearing is various, and its specific situation is relatively complex. Only by simplifying and summarizing into several types, can it be convenient for analysis and calculation. The bearings of building structure are usually divided into four types: fixed hinge bearing, sliding bearing, fixed (end) bearing and roller bearing

The component can not move in any direction, but can rotate around the pin. It can be seen that the constraint reaction of the fixed hinge support is the same as that of the cylindrical hinge, that is, the constraint reaction must act on the contact point, pass through the pin center, and the direction is uncertain

the action point of its constraint reaction is the contact point between the constraint and the constrained object, and the constraint reaction passes through the center of the pin and is perpendicular to the bearing surface. The direction may point to the component or deviate from the component, depending on the main dynamic force

6.

There are two unknowns about the binding force of cylindrical pin or hinge, which are divided into horizontal direction and vertical direction. In fact, a force with unknown size and direction is decomposed into two forces with unknown size but known direction. Therefore, it can be determined by trigonometric function according to the magnitude of two horizontal and vertical forces

The hinge can be made of movable components or foldable materials. To make people get better enjoyment, there is hydraulic hinge, which is characterized by buffering function when the cabinet door is closed, minimizing the noise caused by the collision between the cabinet door and the cabinet body when the cabinet door is closed

extended data:

according to Newton's law of motion, whether an object is balanced or not is determined by the external force, and the acceleration when the object is unbalanced is also determined by the external force, which has nothing to do with the internal force of the internal interaction of the object

Therefore, when solving mechanical problems, we often consciously select a part as the research object, regard it as an object, cut it from the constraints of the surrounding environment, and apply the corresponding external force

7. Force analysis of fixed hinge support
remove the fixed hinge support and expose two constraint reaction directions. First assume that all support reaction forces (support reaction method: first take the moment, then write the balance equation x, y) are obtained. Generally, the direction of the known force is opposite to that of the known force

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