Solution C3-91 (Figure C3.9 condition 1 S.M. Targ 1989)

Solution C3-91 from the textbook by S.M. Targa

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In this problem, you need to determine the forces in the rods of a structure consisting of six weightless rods, hinged to each other at two nodes and attached to fixed supports A, B, C, D. The nodes are located at the vertices H, K, L or M of a rectangular parallelepiped. At the node, which is indicated first in each column of the table, a force P = 200 N is applied; in the second node, a force Q = 100 N is applied. The force P forms angles equal to α1 = 45°, β1 = 60°, γ1 = 60° with the positive directions of the coordinate axes x, y, z, respectively, and the force Q forms angles α2 = 60 °, β2 = 45°, γ2 = 60°. The faces of a parallelepiped parallel to the xy plane are squares. The diagonals of the other side faces form an angle φ = 60° with the xy plane, and the diagonal of the parallelepiped forms an angle θ = 51° with this plane.

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Figure C3.10 shows, as an example, a design drawing for this problem, if, according to the conditions of the problem, the nodes are located at points L and M, and the rods are LM, LA, LB; MA, MS, MD. The angles φ and θ are also shown there.

Solution C3-91 is a digital product that is a complete and detailed solution to problem C3-91 from the textbook by S.M. Targa. In this problem, it is necessary to determine the forces in six weightless rods, hinged to each other in two nodes and attached to fixed supports A, B, C, D. The nodes are located at the vertices H, K, L or M of a rectangular parallelepiped, and in each column The table shows the forces P = 200 N and Q = 100 N applied to the first and second nodes, respectively.

Our digital product is presented in the form of a beautifully designed html document that is easy to open on any device. In solving the problem you will find a complete and clear description of the solution process with step-by-step instructions and detailed calculations. By purchasing our solution to problem C3-91, you receive a high-quality solution to the problem from the textbook by S.M. Targa, a complete description of the solution process, clear calculations and a beautifully designed html document.

Our digital product is the ideal choice for anyone who wants to better understand the material and successfully solve a problem. Buy our solution to the S3-91 problem and you won’t regret it! Figure C3.10 shows, as an example, a design drawing for this problem, if, according to the conditions of the problem, the nodes are located at points L and M, and the rods are LM, LA, LB; MA, MS, MD. The angles φ and θ are also shown there.

Solution C3-91 from the textbook by S.M. Targa is a digital product presented in the form of a beautifully designed html document that is easy to open on any device. Solving a problem consists of a complete and clear description of the solution process with step-by-step instructions and detailed calculations.

To solve this problem, it is necessary to determine the forces in six weightless rods, hinged to each other in two nodes and attached to fixed supports A, B, C, D. The nodes are located at the vertices H, K, L or M of a rectangular parallelepiped. At the node, which is indicated first in each column of the table, a force P = 200 N is applied; in the second node, a force Q = 100 N is applied. The force P forms angles equal to α1 = 45°, β1 = 60°, γ1 = 60° with the positive directions of the coordinate axes x, y, z, respectively, and the force Q forms angles α2 = 60 °, β2 = 45°, γ2 = 60°. The faces of a parallelepiped parallel to the xy plane are squares. The diagonals of the other side faces form an angle φ = 60° with the xy plane, and the diagonal of the parallelepiped forms an angle θ = 51° with this plane.

The design drawing for this problem is presented in Figure C3.10, where the nodes are located at points L and M, and the rods are LM, LA, LB; MA, MS, MD. The angles φ and θ are also shown there.

By purchasing the solution to problem C3-91, you will receive a high-quality solution to the problem from the textbook by S.M. Targa, a complete and clear description of the solution process with step-by-step instructions and full calculations. In addition, the solution is presented in a beautifully designed html document that is easy to open on any device. Our digital product is the ideal choice for anyone who wants to better understand the material and successfully solve a problem.

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Solution C3-91 is a constructive problem, which consists in determining the forces in six weightless rods, hingedly connected in two nodes and attached to fixed supports A, B, C, D. The nodes are located at the vertices H, K, L or M of a rectangular parallelepiped . In the node, which is indicated first in each column of the table, a force P = 200 N is applied, and in the second node a force Q = 100 N is applied. The force P forms angles with the positive directions of the x, y, z coordinate axes equal to α1 = 45°, respectively , β1 = 60°, γ1 = 60°, and force Q - angles α2 = 60°, β2 = 45°, γ2 = 60°. The faces of a parallelepiped parallel to the xy plane are squares. The diagonals of the other side faces form an angle φ = 60° with the xy plane, and the diagonal of the parallelepiped forms an angle θ = 51° with this plane.

It is necessary to depict nodes and rods in the drawing according to the data in the table, and then determine the forces in each rod. Figure C3.10 shows an example of a drawing if the nodes are at points L and M, and the rods are LM, LA, LB; MA, MS, MD. Thus, the solution to the problem is to determine the force efforts in six rods according to these conditions, taking into account the geometric parameters of the structure.

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