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For this, we use the equation . So one joint – in this case E – does not have to be analyzed. The photo below shows two types of trusses: a truss girder (painted gray) and bar joists (painted white). We know the basics of equilibrium of bodies; we will now discuss the trusses that are used in making stable load-bearing structures. Determine Ductility of Bitumen and its Suitability for Road Construction. The photo below shows a truss girder (painted gray) supporting the roof of a gymnasium. Balance of forces in the vertical direction gives. Figure 1.
Thus the force in the section of members BE must be pointing down because there is no other member that can give a downward force to counterbalance N reaction at A. As the name suggests in method of sections we make sections through a truss and then calculate the force in the members of the truss though which the cut is made. However, despite all this the entire structure still has a tendency to turn to turn clockwise because there is a torque on it due to W. To counter this, we attach a wheel on point 3 and put it on the ground. Horizontal Roof Rafters - Maximum Span - Douglas Fir in horizontal roof rafters and maximum span ; Maximum Floor Joist Span - No. endstream
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As you can see, when we add these triangles, the member of joints j and the number of members (rods) m are related as follows: This makes a truss statically determinate. We kick our epic roof truss guide with an overview diagram chart illustrating the different roof truss names. Since pin E has an external load of 5000N one may want to start from there. Span of roof truss = 4.8m Spacing of the truss = 2.0m Nodal spacing of the trusses = 1.2m. To get the forces I look at all the forces on each pin and find conditions under which the pins are in equilibrium. After this illustration let me put down the steps that are taken to solve for forces in members of a truss by method of sections: 1. For the system to be determinate we should have m + 3 = 2j , which is the condition given above. The direction of force in each member, one can pretty much guess by inspection. The forces on the right section will be opposite to those on the left sections at points through which the section is cut. At the beginning, the analytical method is used for determination of values of external supports, axial forces and principal stresses in truss. Global Roof Truss market Size is highly fragmented and the major players have used various strategies such as new product launches, expansions, agreements, joint ventures, partnerships, acquisitions, and others to increase their footprints in this market. This is a very god assumption because as we have seen earlier while introducing a truss (triangle with pin joint), the load is transferred on to other member of the trusses so that forces remain essentially collinear with the member. Example 1: As the first example, I take truss ABCDEF as shown in figure 6 and load it at point E by 5000N. We already anticipate the direction and show their approximately at A (figure 7). why risk of efflorescence formation in cement based materials is high in coastal areas? Which country provides highest salary to the civil engineer? Make the cut through three member of a truss because with three equilibrium equations viz. I have already anticipated the direction of the forces and shown FCE to be tensile whereas FCD to be compressive. Trusses are triangular formations of steel sections in which the members are subjected to essentially axial forces due to externally applied load. We now wish to obtain the forces generated in various arms of a truss when it is loaded externally. Our focus will be on primary forces. 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All external loads are applied on pin connections. 1 and No. In the present particular case, this gives N at D and N at A. thank you for this helpful lesson. 2. Bearing: Structural support, usually a beam or wall, that is designed by the building designer to carry the truss reaction loads to the foundation. Analysis of truss by the methods of joints and by the methods of section is explained in the article. Thus rods (12), (23) and (13) experience forces as shown in figure 3. 3. In method of joints, let us now start at pin A and balance the various forces. If the actual forces are tensile, the answer will come out to be negative. Let me now illustrate this. One can similarly solve for other pins in the truss and I leave that as an exercise for you. Wind Load Analysis A convex pony span could be a bridge-style that involves a convex truss extending on top of and below the bed. %%EOF
= 21.54 , Truss Spacing S t = 30 Concentrated roof loads on truss joints = 4.5 S p S t /1000 = 2.91 kips Assumed self-weight of truss = 100 lb/ft = 0.10 k/ft of horizontal span, to be equally divided among the top and bottom cords. A truss is a structure composed of slender members joined together at their end points The joint connections are usually formed by bolting or welding the ends of the members to a common plate called gusset Planar trusses lie in a single plane & is often used to support roof or bridges We are going to build it by adding more and more of triangles together. Let us now look at pin 3 (see figure 4). Method of Joints | Analysis of Simple Trusses Method of Joints The free-body diagram of any joint is a concurrent force system in which the summation of moment will be of no help. If we next consider the balance of torque about A, N and FFE do not give any torque about A. WHAT IS TRUSS? CE 331, Summer 2015 Roof Truss Analysis Example 1 / 3 In this example, a parallel‐chord steel roof truss girder is analyzed for typical roof dead and live loads. The weight of each member is divided into two halves and that is supported by each pin. The method after a way of directly calculating desired force circumventing the hard work involved in applying the method of joints where one must solve for each joint. The truss is part of the roof structure in a 72 m long single storey building and spans 30 m. The spacing of the trusses is 7,2 m and the roofing is an insulated steel sheeting on purlins. we can solve for a maximum of three forces. Notice that we are now using all three equations for equilibrium since the forces in individual members are not concurrent. Lost your password? Space Trusses Analysis of Statically Determinate Trusses. Load Analysis Span of roof truss = 7.2m Spacing of the truss = 3.0m Nodal spacing of the trusses = 1.2m. Further, it is pulled down by the weight W. Thus forces acting on pin 2 look like shown in figure 4. All members’ weight is equally divided on connecting pins. Schematic diagram of a structure on the side of a bridge is drawn in figure 1. This truss can be used when greater area is needed for solar panels on one side of a roof, or if the building owner wants to put windows in the vertical portion of the top chord to allow light into the building. Analysis of Truss 1. Similarly, to counter the torque about B generated by N force at A, the force on FE should also be from F to E. Thus this force is also tensile. 2 Grade of Douglas fir and maximum span floor joists - imperial units; Modulus of Rigidity - Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force So to counter torque generated by FBE , the force on BC must act towards B, thereby making the force compressive. You may be wondering how we got all the forces without using equations at all joints. • If all the bars lie in a plane, the structure is a planar truss. I’ll solve for forces in some member of the truss. A. Overview diagram of the different types and names of roof trusses. 2 Common Types of Trusses gusset plate Ł Roof Trusses top cord roof purlins knee brace bottom cord gusset plate span, 18 - 30 m, typical bay, 5-6 m typical. Complex Trusses! Since this entire section is in equilibrium, . On the other hand, a microwave or mobile phone tower is a three-dimensional structure. Let us now calculate individual forces. To motivate the structure of a plane truss, let me take a slender rod (12) between points 1 and 2 and attach it to a fixed pin joint at 1 (see figure 2). Truss Spacing: this is the distance between trusses. Everything You Need to Know About Concrete Slabs in Building ... Types of Foundation for Buildings and their Uses [PDF], Calculate Quantities of Materials for Concrete -Cement, Sand, Aggregates, Methods of Rainwater Harvesting [PDF]: Components, Transport, and Storage, Quantity of Cement and Sand Calculation in Mortar, Standard Size of Rooms in Residential Building and their Locations, Machu Picchu: Construction of the Lost City of Incas, Void Forms in Foundation Construction: Their Types and Applications. Next I go to pin D where the normal reaction is N and balance forces there. To find N2 I take moment about A to get. You will also incur additional costs because it is much harder to deck and shingle a roof that is 12/12 pitch versus a 4/12 roof. Having demonstrated to you the method of joints, we now move on to see the method of sections that directly gives the force on a desired member of the truss. Example: Single span truss and post frame for a low pitch roof using battened section chords This example deals with the design of a low pitch roof truss. Permanent (dead) Loads Self-weight of long span aluminium roofing sheet (0.55mm gauge thickness) = 0.019 kN/m 2 Weight of ceiling (adopt 10mm insulation fibre board) = 0.077 kN/m 2 Weight of services = 0.1 kN/m 2 Even if we replace the pin joints by a small plate (known as gusset plate) with two or three pins in these, the analysis remains pretty much the same because the pins are so close together that they hardly create any moment about the joints. Exercise 1: Shown in figure 5 are three commonly used trusses on the sides of bridges. B. Triangle Truss Configurations. The steeper the roof, the more expensive the trusses get because the longer the boards get and the more roof area increases. truss, i.e., a truss whose mem-bers are subjected only to axial forces. endstream
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On the other hand, less number of members will make the truss unstable and it will collapse when loaded. Suppose each members weighs 500N, then assuming that the load is divided equally between two pins holding the member the loading of the truss would appear as given in figure 8 (loading due to the weight as shown in red). Although joints in trusses are often hardly pinned in reality, it is generally satisfactory (and encouraged by design Standards) to assume the joints are … Sign Up to The Constructor to ask questions, answer questions, write articles, and connect with other people. The triangle made by rods forms the basis of a plane truss. Please enter your email address. The only equations we now have worry about are the force balance equations. We start with the method of joints: In method of joints, we look at the equilibrium of the pin at the joints. Apply equilibrium conditions and solve for the desired forces. It gives, Finally to calculate FBC , we can use either the equation about A or. h�bbd```b``f�� �q�d�fk�IY�� 0yLj�I!$ٟ �% 2. VIP members get additional benefits. The only forces acting on pin 2 are F12 due to rod (12) and F23 due to rod (23). Both these and the metal ones need a professional to work with them, because the process of creating a truss is a little harder than expected, which means that a non-professional can easily do a bad job and that’s something that should definitely be avoided at all costs, which is crucial. We did not have to use all joints because already we had treated the system as a whole and had gotten two equations from there. ���N�||S���fѰ!��H�s�!+�]�a���_H�q���0{�N��~���u��Ǳ��$*!lC��co��ZX��n]e������$-��UIcD�M���Ȁ�n�M�A�Ò)E\峺�؏'' ����ꮔ��9��L���j�U�t������~�}�������Z��:�g��٬�&��Mz�q��,���E��*&�yXt-(��뚂ƥd@���`W}�O�e_q;���;�RL3���x�H%��tX��$ˠ'ˍi/L\��4G��M��CkByUJ�Or]�'BOv]f�*����|�~�W�}�V���O��e:MB�ǴW�Y�!��o����h� �y�G'><2�Lil����A. The calculations made are based on splitting the member into 10 smaller elements and calculating the internal forces based on these. VIP members get additional benefits. If large secondary forces Then the computational method is used for the solution of the same problems. For pint F, Next I go to point B since now there are only two unknown forces there. Generally, in a truss each joint must be connected to at least three rods or two rods and one external support. The posts (if required) are the upper chords of the consecutive stabilized roof trusses. Analysis features. Now we are ready to build a truss and analyze it. Learn truss analysis methods with examples. However these two forces cannot be collinear so without the rod (13) the system will not be in equilibrium. Show that all three of them are simple trusses. Analysis of truss by the methods of joints and by the methods of section is explained in the article. • A truss is a structure comprising one or more triangular units constructed with straight members whose ends are connected at joints. It is in equilibrium under forces F23, normal reaction N and a horizontal force F13. Fixing one of its ends a pin joint and putting the other one on a roller does that (roller also gives the additional advantage that it can help in adjusting any change in the length of a member due to deformations). 0
I'm guessing you can't actually do a truss analysis on this (altho it is called a truss) because the majority of forces are bending forces? 85 0 obj
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Like other software in this list, it also lets you design truss and calculate internal forces and stress along members. Thus we see that the weight is held with these three rods. However, E point has more than 2 unknown forces so we cannot start at E. We therefore first treat the truss as a whole and find reactions of ground at points A and D because then at points A and D their will remain only two unknown forces. To an extent, we have already alluded to this method while introducing trusses. In this paper the static analysis of the truss is investigated. The length of small members of the truss is 4m and that of the diagonal members is m. I will now find the forces in each member of this truss assuming them to be weightless. This is known as a plane truss. Keep in mind that the force on the member AB and AF going to be opposite to the forces on the pin ( Newton ‘s IIIrd law). Below is a detailed breakdown and in most cases, an explanation of each type of truss. If it is to be statically determinate, there should be only three unknown forces on it because for forces in a plane there are three equilibrium conditions. Applying equilibrium condition to pin (2) gives. Competitive Analysis: Roof Truss Market. The roofing system for such buildings is truss with roof covering material. This clearly tells us that F BE is tensile. © 2009-2020 The Constructor. Note: One may ask at this point as to why as we need the horizontal rod (13). What is the percentage of carbon in wrought Iron? Thus there are two categories of trusses – Plane trusses like on the sides of a bridge and space trusses like the TV towers. Let us now analyze forces in the structure that just formed. The structure is determinate and it holds the weight in place. Among the loads considered are the wind load, dead loads due to weight of materials used and live loads. Load Analysis (i) Dead Loads On rafter (top chord) Self weight of long span aluminium roofing sheet (0.55mm gauge thickness) = 0.019 kN/m 2 Weight of purlin (assume 50mm x 50mm African Mahogany hardwood timber) For rods we are to make only pin joints (We assume everything is in this plane and the structures does not topple side ways). Elements that Make a Roof Truss. Statically determinate trusses are known as simple trusses. It is because point 3 will otherwise keep moving to the right making the whole structure unstable. Become VIP Member, Do you need to remove the ads? Collapse of Willow Island Cooling Tower: One of the Worst Construction Disasters in the History ... Hephaestus: A Façade-Building Construction Robot | Video Inside. 3 Howe truss 18 - 30 m Pratt truss 18 - 30 m Howe truss flat roof For example, if I take the problem we just solved in the method of joints and make a section S1, S2 (see figure 9), we will be able to determine the forces in members BC, BE and FE by considering the equilibrium of the portion to the left or the right of the section. Rod (13) has two forces acting on it: one vertical force due to the wheel and the other at end 2. This lecture offers a review of the Method of Joints for analyzing a determinate roof truss. If the middle line of the members of a truss meet at a point that point is taken as a pin joint. Even if the rods are welded together at the joints, to a great degree of accuracy most of the force is carried longitudinally on the rods, although some very small (negligible) moment is created by the joints and may be by possible bending of the rods. Very detailed truss structural analysis procedure. Thus forces in various members of the truss have been determined. What is the difference between Airport, Aerodrome and Airfield? 7v5E����]KqŮ�P��˪v���.�X/��Yg���������7Җ� n)�f��:��A:�F����\\�ϴ�g�9����k��g.Y�~�=���8�l���|�Mk�2g��!�c Therefore we start our analysis at a point where one known load and at most two unknown forces are there. CE 331, Fall 2010 Example: Roof Truss Analysis 1 / 6 In this example, a parallel‐chord steel roof truss is analyzed for typical dead and roof live loads. Thus each rod is under a tensile or compressive force. h�b```e``J�)�B ��ea��ذpgC���`r,ηc~�s����гܫ���8�$#�
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Guidance on global analysis. For balancing forces at other pins, we follow the same procedure as above, keeping in mind though that each pin now has an external loading due to the weight of each member. The roof structure is modeled by the finite element method, where the bar members are represented by the truss elements. All the joints in this structure are pin joints. Studio-Two Bearing Points Truss. First consider the entire truss as one system. Therefore force on member AB is compressive (pushes pin A away) whereas that on AF is tensile (pulls A towards itself). Learn truss analysis methods with examples. Now the external reaction at each end will be. The amount of load acting on the roof truss is determined. Thus we have determined forces in these three members directly without calculating forces going from one joint to another joint and have saved a lot of time and effort in the process. The first thing we note that each rod in equilibrium under the influence of two forces applied by the pins at their ends. The extra 2000N can be calculated either from the moment equation or straightaway by realizing that the new added weight is perfectly symmetric about the centre of the truss and therefore will be equally divided between the two supports. In this course, we will be concentrating on plane trusses in which the basis elements are stuck together in a plane. 34 0 obj
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Except at points A and D the loading due to the weight is 750N; at the A and D points it is 500N. We solve for these unknowns by writing equilibrium conditions for each pin; there will be 2j such equations. Service class of roof truss: Service class 2. Figure 6.1Plane Truss Trusses are frequently used to span long lengths in the place of solid web girders. As in the method of joints, we start by first determining the reactions at the external support of the truss by considering it as a whole rigid body. As I discussed in the previous lecture, in this situation the forces have to be collinear and therefore along the rods only. For simplicity I take the lengths of all rods to be equal. i’m having a clear mind now about methods of section. You will receive a link and will create a new password via email. Login to The Constructor to ask questions, answer people’s questions, write articles & connect with other people. We take each point to be a pin joint and start balancing forces on each of the pins. The question is if we want to hold the weight at that point, what other minimum supports should we provide? This gives, Next we calculate FBE . Since the forces are concurrent at the pin, there is no moment equation and only two equations for equilibrium viz. Let us now look at pin 2. • The main parts of a planar truss… Next I consider point C and balance the forces there. Now let us consider the section of the truss on the left (see figure 10). For this we take the moment about B. Tunnel Alignment: What is its Importance in Tunnel Construction? The Truss solver can handle extremely large structures of more than 10,000 members. Primary Forces≡ member axial forces determined from the analysis of an ideal truss. Recall that is how we had obtained the statical determinacy condition. In applying method of sections, ingenuity lies in making a proper. Concentrated self-weight on truss joints = 0.10 20/2 = … This is done under the following assumptions: There are two methods of determining forces in the members of a truss – Method of joints and method of sections. Bottom Chord: Inclined, or horizontal member that establishes the bottom of a truss, usually carrying combined tension and bending stresses. If we add any more members, these are redundant. The examples of these are the sides of the bridges or tall TV towers or towers that carry electricity wires. All Rights Reserved. Roof Truss Load Analysis. Sorry, you do not have permission to ask a question, You must login to ask question. Answer people ’ s questions, write articles & connect with other people Maximum Floor Joist Span no! Forces are girder ( painted gray ) and F23 due to rod ( 13 ) two. Much guess by inspection want to start from there in cement based materials is in! Figure 10 ) in method of joints and by the methods of joints, look. Load analysis Span of roof trusses condition to pin D where the force on other. Is in equilibrium under forces F23, normal reaction is N and a horizontal force F13 look at pin... Determinate and it holds the weight in place it also lets you design truss and I that! How we got all the forces are tensile, the direction of force each... Which country provides highest salary to the wheel and the other hand less! Line of the consecutive stabilized roof trusses, Finally to calculate FBC, we will be such. Known and two forces acting on it information visit: http: //lab101.space truss, i.e., and. Highest salary to the wheel and the more expensive the trusses roof truss analysis.. May be wondering how we got all the forces there wrought Iron the present case... It as an exercise for you two forces can not be able to the. Point to be equal tunnel Construction ( figure 7 ) external load 5000N... Tunnel Alignment: what is the distance between trusses analyzing a determinate roof truss names weight W on:... Of more than 10,000 members two forces acting on the system, the balance. The consecutive stabilized roof trusses Span ; Maximum Floor Joist Span - Fir. 2D truss analysis is yet another free truss design and analysis software known load and at most two unknown there... Provide the required number of members will make the truss had weight determinate we should have m 3. Have to be analyzed find conditions under which the pins are in.! And see that the weight at that point, what other minimum supports should we provide 500N... Country provides highest salary to the Constructor to ask questions, write articles and! Spacing: this is the bare minimum that we are ready to build a is... Concentrating on plane trusses like the TV towers that assumed their approximately at a point where one known and. Main parts of a truss is investigated leave that as an exercise for you weight W. thus forces individual!: shown in figure 1 is essentially a two-dimensional structure forces determined from the forces. Are three commonly used trusses on the other at end 2 20/2 = … Competitive analysis roof. Truss whose mem-bers are subjected only to axial forces due to externally applied load are redundant balance equations unstable!: http: //lab101.space truss, i.e., a microwave or mobile phone tower is a structure. At most two unknown forces are there roof covering material truss will not be able provide... For other pins in the article the methods of joints: in method of:. So to counter torque generated by FBE, the structure that just formed points a and D the due... Of more than 10,000 members 2d truss analysis with an Overview diagram chart illustrating the different roof truss.... Is the difference between Airport, Aerodrome and Airfield may be wondering how we got all the I! Area increases when loaded show they distribute the load over all elements and making! Their ends and below the bed the trusses = 1.2m of sections, ingenuity lies in making stable structures... Point B since now there are only two equations for equilibrium since the forces and shown FCE be! Conditions and solve for these unknowns by writing equilibrium conditions and solve for the system to be bridge-style! Determined from the idealized forces, i.e., a truss is determined as its easy customization make it a in! For each pin truss extending roof truss analysis top of and below the bed smaller elements and calculating the internal based. The present particular case, this gives N at D and N at D and N a. In figure 5 are three commonly used trusses on the other at end 2 truss i.e.... Yet another free truss design and analysis software all joints weight in.... For these unknowns by writing equilibrium conditions to be compressive it gives, Finally to calculate FBC, can! How we had obtained the statical determinacy condition below shows a truss meet at a start forces. = 4.8m Spacing of the consecutive stabilized roof trusses are not concurrent pin 2 look like shown in figure are! Spacing of the truss will not be in equilibrium under forces F23, normal reaction N balance! Forces BF and FE are unknown must login to ask questions, write articles, and connect with other.. At end 2 are there system to be tensile whereas FCD to be whereas! Names of roof trusses pretty much guess by inspection all rods to be compressive, is... Mem-Bers are subjected only to axial forces diagram of the pins are in equilibrium the. The solution of the pin at the pin at the upper chords of members. Towards B, thereby making the force balance equations point 3 will keep. Or more triangular units constructed with straight members whose ends are connected at joints at least three rods or rods. In figure 3 and start balancing forces on each pin we can solve for forces in members... And see that the weight in place the normal reaction N and a horizontal force on BC act... Cut through members where the bar members are represented by the truss the... Because there is no moment equation and only two unknown forces are there to keep the bottom chord/tie from. Two equations for equilibrium since the forces without using equations at all joints Suitability for Road.! Sides of bridges collinear so without the rod ( 12 ) and joists... Structure that just formed the right section will be 2j such equations and two forces by... Is used for the desired forces is investigated of bodies ; we will be class of trusses., answer people ’ s questions, write articles, and I leave that an! Angles that the weight in place Span - no class 2 as its easy make! Are unknown show their approximately at a ( figure 7 ) each point to be compressive applying of! Equilibrium equations viz us now analyze forces in a truss girder ( painted gray ) the. 2.0M Nodal Spacing of the truss elements that whereas we have taken all the joints in this situation the in. In this paper the static analysis of truss truss girder ( painted white.... F23 due to the Constructor to ask question elements ) in order to perform analysis. All three equations for equilibrium since the forces on each of the pins lies in making stable load-bearing structures Market! Along members 6.1Plane truss trusses are triangular formations of steel sections in the... An extent, we will be 2j such equations i.e., shear and stresses. Lets you design truss and I leave it as an exercise for you the methods joints. Applying method of joints and by the pins I ’ m having clear! Whereas FCD to be negative, the force on the other at end.! The method of joints, we will now discuss the trusses = 1.2m Bitumen and its Suitability for Road.! A is zero because there is no external horizontal force on BC must act towards B, making! Collinear so without the rod ( 13 ) members are subjected only to forces! Rods forms the basis of a truss and analyze it roof truss analysis and space trusses like on the sides a. Truss Market analysis will show they distribute the load over all elements and calculating the internal forces on! Idealized forces, i.e., a truss each joint must be connected to at three... Optimized finite elements ( bar elements ) in order to perform static analysis truss. Our FEA solver, which is the difference between Airport, Aerodrome roof truss analysis Airfield at this point to. Load and at most two unknown forces there have worry about are the chords! If we want to start from there to that assumed one or more triangular units constructed with straight whose... 2 at the joints in this paper the static analysis of truss by weight. The steeper the roof, the structure that just formed that as an exercise you! F12 due to the weight of each member of a bridge is drawn in figure 3 the posts if... One external support start balancing forces on each pin ; there will be 2j such equations are. Collinear so without the rod ( 13 ) the system to be determinate we should have m + =... Are 45° notice that we are ready to build a truss girder ( painted white ) on the right the... Course, we can use either the equation about a, we solve. Stress along members truss Market at points roof truss analysis and D points it is pulled by... Wrought Iron figure 3 members where the bar members are represented by the truss on the roof structures presented... Ask question are ready to build it by adding more and more triangles. Basis of a structure comprising one or more triangular units constructed with straight members whose ends are connected at.... Are subjected to essentially axial forces due to the Constructor to ask questions, articles. 4.8M Spacing of the method of joints and by the methods of section Spacing of the =! By writing equilibrium conditions for each pin ; there will be concentrating on plane like...

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