What is the reaction force of the support in structural mechanics?
For the solution of the support reaction force of a static structural beam, the following methods can be used: Remove a support (such as support A) and replace it with an external force.(That is, the reaction force of the support, the line of action, and the canceled support member are overlapped, and the direction is generally upward). Then, all the external forces are applied to the other support to calculate the bending moment (note the positive and negative signs). Since the static beam will not rotate, the total bending moment of all external forces (including the reaction force of the support A) to the other support should be "0", so the reaction force of a support can be calculated (note the + sign indicates that the reaction force of the support is in the same direction as the assumed reaction force of the support, otherwise it is opposite). Similarly, the reaction force of the other support could be obtained. In addition, after finding the reaction force of a support, the reaction force of another support could also be found under the condition that all the support reaction forces were equal to all the external forces. For a simply supported beam, static equilibrium could also be used. In the vertical direction, there was always the equation of F = 0, and for the hinged point, there was the equation of M = 0. For the continuous beam, rigid frame and other indeterminate structures, the force method or displacement method should be used to calculate the support reaction force. Read more exciting novels for free
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>
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>
An example and answer to the reaction force of the support constraint in theoretical mechanics
The following is an example of the reaction force of the support constraint in theoretical mechanics: ** I.Example1: Overhanging Beam Regardless of Self-weight ** 1. ** Already known conditions ** - Beam A B is subjected to a certain load (the specific form of the load is not specified, but the relevant parameters q, M, l are known). 2. ** Requirement ** - Find the constraint reaction force at supports A and C. ** II. Example2: The stress of the OOA-beam ** 1. ** Already known conditions ** - A uniform load was applied to the OOA-beam, with a load concentration of q = 10KN/m and a concentrated force of F = 20KN. 2. ** Requirement ** - Find the constraint reaction force at the fixed end O. ** 3. Question 3: The movement of the small ring M (indirectly related to the reaction force)** 1. ** Already known conditions ** - The small ring M was sheathed on a fixed semicircle ring with a radius of 0C = R = 120mm and a straight rod that moved in parallel. When OOB = BG = 60mm, the straight rod moved at a speed of v0 = 30mm/s. 2. ** Requirement ** - Although the constraint reaction force was not directly calculated, it could be prepared for the constraint reaction force through motion analysis (for example, analyzing the interaction force between the small ring, the semi-circular ring, and the straight rod to obtain the constraint reaction force). ** IV. Example4: Slider M in the Rocker Slideway ** 1. ** Already known conditions ** - The sliding block M in the rocking bar slide way mechanism simultaneously slide in the fixed circular arc groove BG and the slide way of the rocking bar UA. The radius of the arc BG is R, the axis O of the rocking bar UA is on the circumference of the arc BG, and the rocking bar is rotated around the axis O at an equiangular speed Omega. When the motion starts, the rocking bar is in a horizontal position. 2. ** Requirement ** - Solve the motion equation of point M, and find its velocity and acceleration. This process can lay the foundation for analyzing the constraint reaction force on the sliding block M. ** 5. Example5: Force situation of the thin steel plate (related to the synthesis of restraining force)** 1. ** Already known conditions ** - At the center of the hole A, B, and C, there are three forces: P1 = 100N along the vertical direction, P2 = 50N along the direction of ADC, and P3 = 50N along the horizontal direction. 2. ** Requirement ** - Find the result of the force system. The result of the force system is similar to the calculation principle of the constraint reaction force (for example, the equilibrium condition of the force is applied to both the constraint reaction force and the force system). ** 6. Example6: Force situation of a simply supported beam ** 1. ** Already known conditions ** - The simply supported beam is subjected to a concentrated load of P = 20kN. 2. ** Requirement ** - Find the constraint reaction force of supports A and B in the two cases shown in the diagram. For the above examples, since the answer did not give the specific calculation process and results, it could only determine the basic idea of finding the support restraint reaction force: 1. First, the main force (such as gravity, concentrated force, uniform load, etc.) was determined according to the force of the object. 2. Then, the characteristics of the constraint reaction force were determined according to the type of constraint (such as fixed hinged support, movable hinged support, fixed end constraint, etc.). For example, the direction of the constraint reaction force of the fixed hinged support is unknown and is usually expressed by two square components; the constraint reaction force of the movable hinged support is vertical to the supporting surface; the fixed end constraint has multiple constraint reaction force components (including force and couple, etc.). 3. Finally, according to the equilibrium conditions of the forces (for example, the equilibrium condition of the plane converging force system is that the total force is zero, and the equilibrium condition of the plane arbitrary force system is that the principal arrow and principal moment are both zero, etc.), the equilibrium equation is listed to solve the magnitude and direction of the constrained reaction force. <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>
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>
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>
The structural requirements for the elimination reaction of substituted aromatic compounds
The following structural requirements must be met for the elimination reaction of the halalocarbon: 1. The number of carbon atoms in the molecules is greater than or equal to 2. 2. The existence of beta-H meant that there must be a hydrogen atom on the carbon atom adjacent to the carbon atom attached to- X. 3. The halo atoms on the ring cannot be eliminated. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The relationship between binding force and binding reaction force is
Binding force and binding force were a pair of balanced forces. The strength of the binding force increased with the increase of the binding force and decreased with the decrease of the binding force. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Reaxff reaction force field principle
ReaxFF was a molecular force field based on bond level. It is commonly used in molecular dynamics simulations. Goddard and his collaborators at the California Institute of Technology suggested. In its simplest form, as a bridge between chemical quantum and the experiential force field, it used a set of relatively simple functions to describe the relationship between energy and geometry. For example, it used the EFF method to deal with the simple harmonic-wave equation of the condensed matter system. These equations were used to describe the stretching, compression, and bending of bond angles. However, the current reference materials did not have more in-depth information about its principle, so it was impossible to answer further. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
What are the sequence, structural relationship and structural features of the article?
The relationship between sequence and structure refers to the relationship between the sequence and structure of the plot development in the novel. The structural features refer to the characteristics of the entire structure of the novel, such as: - The plot is formed by a series of events that unfold in a certain order. - Non-linear structure: The plots do not unfold in a linear order, but there are complex turns and progression relationships. - Thematic layered structure: The plot and character activities are interconnected on multiple levels, and the theme is gradually deepened. - Time travel structure: The plot spans multiple time and space dimensions and the characters experience different historical backgrounds. - Multiple narrative structure: Through multiple perspectives and conversations between multiple characters, different plots and story lines are presented. The plot, character relationships, theme, and meaning in the novel often presented complex structural characteristics that required the reader to think deeply and explore.