Calculating the Reaction Force Formula of the Bearing in the Mechanical Structure
1. For fixed bearings (hinged bearings): - In the horizontal direction, the support reaction force is zero because the fixed support (hinged support) can prevent the object from moving horizontally. - In the vertical direction, the reaction force of the support is equal to the gravity of the object. 2. For sliding bearings: - In the horizontal direction, the reaction force of the support is equal to the horizontal force exerted by the object on the support. - In the vertical direction, the reaction force of the support is equal to the gravity of the object. 3. For rolling bearings: - In the horizontal direction, the reaction force of the support is equal to the horizontal force exerted by the object on the support. - In the vertical direction, the reaction force of the support is equal to the gravity of the object. 4. For a simply supported beam structure (take the concentrated force acting in the middle of the simply supported beam as an example): If a concentrated force acts in the middle of the simply supported beam, according to the knowledge of structural mechanics, the support reaction force at both ends is the same, and the magnitude is half of the concentrated force. For example, if the concentrated force is F, then the reaction force of both supports is F/2. 5. For the frame structure (let the angle of the upper and lower chords of the frame be a, and the force of the first and second members be N1 and N2 respectively, when the external force of the structure is balanced): - x = 0 = xA = 0; - If Y = 0, then Ya+Yb = 4P (assuming the total external force is 4P), then Ya = Yb = 2P by using the carrier and the shape. It should be noted that the above formula only applies to mechanical systems under static conditions. In actual engineering, other factors such as friction, bending, and shear should be considered in the calculation of bearing reaction force. Therefore, in the specific problem, the calculation formula of the support reaction force needs to be determined according to the specific situation and the results of the force analysis. Read more exciting novels for free
Calculating the Bearing Reaction Force with the Equilibrium-equation of Theoretic Mechanics
In theoretical mechanics, when calculating the reaction force of a support in a plane force system: - ** Plane Convergence Force System **: The lines of action of all forces are in the same plane and converge at the same point. The equilibrium equations were as follows: ? Fx = 0 (the projection algebra sum of the x-direction force is zero) and? Fy = 0 (the projection algebra sum of the y-direction force is zero). - ** Plane arbitrary force system **: The lines of action of all forces are in the same plane and do not need to converge at the same point. The equilibrium equations were as follows: <anno data-annotation-id ="0fd11000 - 4c65 - 4c50 - 4c50 - 9c6c9999999"> Fx = 0 </anno>,</anno> Fy = 0, and <anno> Mo = 0 (the force system's moment algebra sum for any point O in the plane is zero). For the space force system, when calculating the reaction force of the support: - ** Space Convergence Force System **: The lines of action of all forces converge at the same point. The equilibrium equations were as follows: ? Fx = 0,? Fy = 0, and? Fz = 0 (the projection algebra sum of the forces in the x, y, and z directions is zero). - [Spatial Force System: No need to converge at the same point.] The equilibrium equations were as follows: ? Fx = 0,? Fy = 0,? Fz = 0,? Mx = 0 (the sum of the moments on the x axis is zero),? My = 0 (the sum of the moments on the y axis is zero), and? Mz = 0 (the sum of the moments on the z axis is zero). The usual steps to find the reaction force of the support were: first, take the separated body (separate the component that needs to find the reaction force of the support from the overall structure), then draw the force analysis diagram (accurately draw all the forces acting on the separated body, including the active force and the reaction force of the support), find the component with the simplest force (to determine the situation where the number of unknown forces is small), and finally calculate the reaction force of the support with the equilibrium equation. For example, for a simply supported beam, the support reaction force can be calculated by using the vertical direction, where the sum of the vertical force is zero. For the hinged point, the support reaction force can be calculated by using the sum of the moment of the hinged point. For hyperstatic structures (such as continuous beams, rigid frames, etc.), the force method or displacement method is needed to calculate. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
What is the principle of calculating the bearing reaction force in structural mechanics?
The principle of calculating the reaction force of the support in structural mechanics is based on the principle of force equilibrium. First of all, he had to determine the force on the object, including gravity, external force, etc. He could use the free-body diagram to represent the force point and direction. Then, the force balance of the object was calculated along the horizontal and vertical directions. For the balance of force in the horizontal direction, the reaction force in the horizontal direction is usually zero or equal to the external force in the horizontal direction; for the balance of force in the vertical direction, the reaction force in the vertical direction is usually equal to the gravity of the object or equal to the external force in the vertical direction. The calculation formula of the bearing reaction mainly included the equilibrium equation and the moment equation. The equilibrium equation states that when an object is in a state of static equilibrium, the resulting force and moment of all forces acting on the object are zero. In the calculation of the reaction force of the support, the equilibrium equation of the object was usually divided into two equations in the horizontal direction (where the sum of all the forces acting on the object in the horizontal direction was zero) and the vertical direction (where the sum of the forces in each direction was set to zero and the equation system was solved, the magnitude of the reaction force of the support could be solved. In addition, according to the type of support (such as fixed support, hinged support, etc.), the shape of the object, the way the force is applied, and other factors, the specific calculation method will be different. Complex force situations may require more complicated mechanical methods to calculate. For some special beam structures, there were some simple calculation methods. For example, for a simply supported beam under symmetrical load, the support reaction force could be divided into half by the symmetrical load, that is, the two supports each bear half of the load. For a simply supported beam under a biased load, the support reaction force could be calculated by the inverse ratio of the biased load. The support reaction force at one end of the beam was equal to the ratio of the distance from the point of action of the load to the other support and the length of the beam span multiplied by the size of the load. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The Formula of Calculating Reaction Heat by Using the Bond
The formula for calculating the heat of reaction using chemical bonds was as follows: <anno data-annotation-id ="a1000000 - 4c50 - 4c50-a110-a1111111118"></anno> The total bond energy of the reagent minus the total bond energy of the product. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
How to Find the Formula of the Reaction Force of the Support
The calculation formula of the bearing reaction mainly included the equilibrium equation and the moment equation. When calculating the reaction force of the support, the equilibrium equation of the object was usually divided into two equations: the horizontal direction and the vertical direction. For the balance equation in the horizontal direction, the formula, F x = 0, can be used. This formula means that the total force of all forces acting on the object in the horizontal direction is zero. When calculating, all the horizontal forces on the object (including external forces and support reactions) need to be added. At the same time, when using the moment equation, the couple relationship between the support reaction force and other forces should be considered. According to the specific force situation of the structure, the relevant equations should be listed, and then the support reaction force should be obtained by solving the equation. For example, in some structures, if the support reaction forces FA and FO form a couple in opposite directions, it is necessary to list the equation and solve it according to the overall force balance. For the case of structural external force balance, such as the conditions of x=0, y=0, etc., can also be used to solve the support reaction force. For example, in the framework structure, the support reaction force can be obtained by the method of x=0 to get XA=0, y=0 to get Ya+Yb=4P, and then the load and shape are symmetrical to know Ya=Yb= 2P. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Bearing reaction force is the content of theoretical mechanics, right? Why?
The reaction force of a support was a term in theoretical mechanics. It could also be called the restraint reaction force of a support. It was the support force of a support to the supported object, so the reaction force of a support was part of theoretical mechanics. In the analysis of theoretical mechanics, such as the analysis of the mechanical equilibrium relationship of the structure, the calculation of the support reaction force was an important part. Without theoretical mechanics as the basis, it was impossible to calculate the support reaction force and other structural mechanics related content. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
What is the formula for the reaction force of the support in structural mechanics?
For a simply supported beam, the static equilibrium could be used to calculate the support reaction force, that is, in the vertical direction, there is always an equation of F = 0, and for the hinged point, there is a equation of M = 0. For the continuous beam, rigid frame and other static indeterminate structures, it should be calculated by force method or displacement method. The calculated vertical force is the reaction force of the support. The specific calculation of the reaction force of each support is the calculated vertical force of the support divided by the number of supports. In addition, the formula for calculating the reaction force of the support was also: Ri + Ri = P (where P was the external force, Ri and Ri were the reaction force of the support). For the frame structure, if the external force of the structure is balanced, then the equation of x=0 is xA=0; the equation of y=0 is Ya+Yb=4P (where 4P is the sum of external force, Ya and Yb are the reaction force of the support). By using the load and shape symmetries, Ya=Yb= 2P. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The Formula for Calculating the Cost of a Dish
The formula for calculating the cost of a dish was: dish cost = raw material cost + direct labor cost + manufacturing cost + management cost. Among them, the cost of raw materials referred to the cost of raw materials required for dishes; the direct labor cost referred to the cost of labor required to make dishes; the manufacturing cost referred to the expenses incurred in the manufacturing process such as gas, water, and electricity; and the management cost referred to the cost of the restaurant management staff. When calculating the cost of raw materials, one needed to find the purchase price and usage of each raw material and add them up. The direct labor cost needed to find the salary of each employee who made the dishes and the man-hours needed to make the dishes, then multiply them and add them up.
The Calculating Formula for the Day of Plague
Formula for Calculating the Cost of Kitchen Dishes
The cost of a dish in the kitchen could be calculated using the following formula: the standard cost of each dish = the unit purchase price of the raw materials divided by the fraction of the unit food raw materials that could be called a dish. In addition, the standard cost of each dish could also be calculated by dividing the total production cost of the standard recipe by the number of servings. The specific calculation method could refer to the actual situation of the kitchen manager and the recipe requirements.
Price Depreciation Rate Calculating Formula
There were many formulas to calculate the rate of price depreciations. The following calculation formulas: 1. Paper currency depreciating rate =(current price level-base price level)/current price level *100% 2. Depreciation rate =(Paper currency issuance-the amount of money needed in circulation)/Paper currency circulation 3. Nominally depreciated rate =(current exchange rate-previous exchange rate)/previous exchange rate 4. Real Depreciation Rate =(nominal Depreciation Rate-Deflation Rate)/(1+ Deflation Rate) 5. The relative PVP rate of depreciations =(current exchange rate-PVP rate)/PVP rate 6. Capital flow depreciating rate =(capital outflow-capital influx)/capital influx These formulas could be used according to the specific situation. However, due to some conflicting and inconsistent information in the search results provided, it was impossible to determine which formula was the most accurate. It was suggested that the appropriate calculation formula should be selected according to the specific situation and needs in practical application.