For both manual and machine-based approaches, it is essential to comprehend the fundamentals of farm calculations. Effective management of agricultural operations is based on these computations. For the purpose of calculating profits and making wise decisions, accuracy is crucial, regardless of whether you use sophisticated software or a manual method of adding up costs.

Traditional techniques with a pen and paper and occasionally a calculator are used for manual farm calculations. Farmers keep detailed records of all their expenditures, including labor wages, equipment maintenance, fertilizer, and seed. They calculate profitability by manually comparing these numbers to revenue from livestock or crop sales, and then making necessary adjustments to strategy. This approach necessitates mathematical accuracy and close attention to detail.

Machine-based farm calculations, on the other hand, depend on specific software and hardware. These tools provide real-time insights into farm finances by streamlining data collection and analysis. Automated systems are able to monitor costs, forecast yields according to weather trends, and allocate resources as efficiently as possible. This method produces thorough, data-driven reports that improve decision-making while also saving time.

Farm calculations made by machines or by hand each have benefits and drawbacks. Manual approaches place a strong emphasis on direct interaction with financial data, which promotes a thorough comprehension of the farm’s financial environment. On the other hand, automated systems make use of scalability and efficiency to support larger operations involving intricate datasets. The size of the farm, the technological infrastructure, and the farmer’s inclination toward operational efficiency or analytical depth are often the deciding factors when choosing between these approaches.

The terrain of farm computations changes in tandem with advancements in agricultural technology. Farmers can leverage the advantages of each approach by combining traditional and modern methods, resulting in sustainable management practices and future-focused decision-making.

It is clear from knowing farm calculation techniques—manual or machine-based—that each presents different advantages and difficulties. Manual calculations, which have their roots in conventional methods, place a strong emphasis on developing practical skills and hand-on accuracy while encouraging a thorough comprehension of fundamental ideas. On the other hand, machine-based computations use technology to improve speed, scalability, and efficiency in order to meet the needs of modern agriculture. Examining these approaches shows the complementary roles that they play in enhancing farm management and decision-making processes in addition to their operational distinctions.

## Production method

Six panties, measuring five by five meters, make up the symmetric articulated isolate succous farm span (l = 30 m) shown in Figure 2. Attached to the upper belt are single loads with p = 10 kN. We ascertain the farm rods’ longitudinal efforts. We disregard the elements’ weight.

The farm is brought to the beam on two articulated supports, and this determines the support reactions. Reaction values will be equal to R (a) = R (b) = ∑p/2 = 25 kN. We construct the moment beam diagrams, and based on these, Balmut is able to transverse efforts (it will be required for verification). We choose a direction that will tighten the beam’s middle line in a clockwise manner.

### The method of cutting the node

The process of cutting the node involves chopping off the structure’s independently taken node, replacing the damaged rods internally, and then compiling equilibrium equations. There should be zero force projections on the axis coordinates. Initially, the efforts are meant to be directed from the node, or stretched. Its sign indicates the true direction of internal efforts, which will be ascertained during the calculation.

Starting with a node—where no more than two rods converge—makes sense. We create support equilibrium equations and (rice. 4).

That N (a-1) = -25KN is evident. The symbol "Minus" denotes compression; the effort is focused on the knot, and the result reflects this.

The first node’s equilibrium condition is:

We obtain N (1–8) = -N (a–1)/cos45 ° = 25 kn/0.707 = 35.4 kN from the first expression. The patches show stretching, and the value is positive. N (1–2) = -25 kN indicates compression of the upper belt. You can compute the complete design using this principle (rice. 4).

### Suffer method

A cross section through at least three rods, two of which are parallel to one another, divides the farm mentally. Next, check the balance of one of the structure’s components. The section is chosen so that there is only one unknown value in the force projection amount.

Let’s remove the right side of section I-I (rice. 5). Make an attempt to stretch the rod to replace it. Our axes of strength are as follows:

P – R (a) = 10 kN -25 kN = -15 kN is N (9–3).

A 9–3 stand is crammed in.

When performing calculations for farms with parallel belts loaded vertically, the projection method is a practical tool. In this instance, figuring out the efforts’ angles of inclination to the orthogonal coordinate axes won’t be necessary. Regularly By removing the nodes and drawing sections, we are able to obtain the effort values for every component of the structure. The projection method’s drawback is that if a calculation is done incorrectly at any point in the process, it will lead to errors in all subsequent calculations.

## Method of the moment point

Creating an equation of moments about the intersection of two unknown forces is necessary when using the moment point method. Three rods—one of which does not intersect the other two—are cut and replaced by stretching efforts, just like in the sections method.

Examine sections II–III (rice. 5). The intersection of rods 3–4 and 3–10 occurs in node 3, and the intersection of rods 3–10 and 9–10 occurs in node 10 (point K). We aggregate the moment equations. There will be zero moments with respect to the intersection points. In agreement, we accept the moment when the structure rotates clockwise.

We express the unknown using the equations:

N (9−10) = (2D ∙R (a) – d ∙ p)/h = (2 ∙ 5m ∙ 25kn – 5m ∙ 10kn)/5m = 40 kN (stretching)

N (3–4) = (-3 ∙ 5m ∙ 25kn + 2 ∙ 5m ∙ 10kn + 5m ∙ 10kn)/5m = -45 kN (compression)

Since the method of the moment allows internal efforts to be determined independently of one another, the impact of a single incorrect result on the accuracy of subsequent calculations is eliminated. Certain complex statically determined farms can be computed using this method (rice. 6).

Determining the force in the upper belt 7-9 is necessary. Load p and the dimensions D and H are known. Supports’ reactions are R (a) = R (b) = 4.5p. Section I–II will be conducted, and the moments will be made in relation to point 10. Since they converge at point 10, the efforts from the lower belt and braces will not fall within the equilibrium equation. Thus, five of the six unknowns are eliminated:

In the same way, you can figure out how many rods the upper belt has left.

## Signs of a zero rod

A rod with zero force is referred to as zero. There are several individual situations where a zero rod is certain to happen.

- The balance of an unloaded node consisting of two rods is possible only if both rods are zero.
- In the unloaded node
**Of the three rods single**(not lying on one straight line with the rest of the two) The rod will be zero.

- In a three -chamber knot without load, the force in a single rod will be equal to the module and back in the direction of the applied load. At the same time, the efforts in the rods lying on one straight line will be equal to each other, and are determined by the calculation
*N (3)*= -P,*N (1)*=*N (2)*. - Three -chamber knot
**with a single rod and load**, arbitrary. The load P is laid out into the components p "and p " According to the rule of the triangle parallel to the axes of the elements. Then*N (1)*=*N (2)*+ P ",*N (3)*= -P ".

- In an unloaded node of four rods, the axes of which are directed along the two straight lines, the efforts will be in pairs equal
*N (1)*=*N (2)*,*N (3)*=*N (4)*.

You can verify the calculations made by other methods by using the method of removing the nodes and understanding the zero rod’s rules.

Planning and management of a farm depend heavily on determining its area. These techniques, whether carried out by hand or with the help of machinery, are crucial to agriculture.

Using manual methods, each area of the farm is measured using conventional instruments like measuring tapes, and areas are computed using geometric shapes like triangles and rectangles. Even though it takes more time and work, this method can save costs on smaller farms or farms with asymmetrical shapes.

On the other hand, machine-based calculations map out the boundaries of the farm and compute areas automatically using technologies like GPS and drones. For large-scale farms, this approach works well because it can deliver accurate data fast, which is necessary for contemporary agricultural methods.

Farm calculation techniques that rely on machines or humans each have pros and cons. While manual methods may take longer, they provide farmers with practical accuracy and are accessible with simple tools. Although machine-based techniques demand an initial investment in technology and expertise, they are more accurate and faster.

In conclusion, a variety of factors, including farm size, budget, and required precision, influence the decision between manual and machine-based farm calculations. In the end, both approaches are essential to contemporary agriculture because they enable farmers to efficiently manage their resources and land for maximum output and sustainability.

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