The base of an automobile jackstand forms an equilateral triangle of side length 10 in

The base of an automobile jackstand forms an equilateral triangle of side length 10 in. and is centered under the collar A. Model the structure as one with a ball and socket at each joint and determine the forces in members BC, BD, and CD. Neglect any horizontal reaction components under the feet B, C, and D.

Determine the forces in members AB, AC, and AD. Point M is the centroid of triangle BCD.

Determine the force in member CF.

The depicted structure is under consideration as the upper portion of a transmission-line tower and is supported at points F, G, H, and I. Point C is directly above the center of rectangle FGHI. Determine the force in member CD.

The rectangular space truss 16 m in height is erected on a horizontal square base 12 m on a side. Guy wires are attached to the structure at E and G as shown and are tightened until the tension T in each wire is 9 kN. Calculate the force F in each of the diagonal members.

For the space truss shown, check the sufficiency of the supports and also the number and arrangement of the members to ensure statical determinacy, both external and internal. By inspection determine the forces in members CD, CB, and CF. Calculate the force in member AF and the x-component of the reaction on the truss at D.

For the space truss shown, check the sufficiency of the supports and also the number of and arrangement of the members to ensure statical determinacy, both external and internal. Determine the forces in members AE, BE, BF, and CE.

A space truss is being designed with the elements shown. How many more members are needed to make the truss stable internally? Name the members (by specifying their endpoints) which would produce one possible configuration of internal stability.

Determine the force in member BD of the regular pyramid with square base.

Use the method of sections to determine the forces in members GH and CG. The main portion of this structure is periodic in that it is composed of repeated and identical units. Each of the repeated and inverted pyramidal components is regular.

The pyramidal truss section BCDEF is symmetric about the vertical x-z plane as shown. Cables AE, AF, and AB support a 5-kN load. Determine the force in member BE.

The space truss shown is secured to the fixed supports at A, B, and E and is loaded by the force L which has equal x- and y-components but no vertical z-component. Show that there is a sufficient number of members to provide internal stability and that their placement is adequate for this purpose. Next determine the forces in members CD, BC, and CE.

A space truss is constructed in the form of a cube with six diagonal members shown. Verify that the truss is internally stable. If the truss is subjected to the compressive forces P applied at F and D along the diagonal FD, determine the forces in members EF and EG.

The space truss supports the structure of an amusement park ride (not shown) which rotates about a vertical axis. The eight footpads form a regular octagon, and ABCDE is a pyramid with a 2.5-m-square base BCDE and vertex A, which is 0.5 m above the base. The plane of figure BCDE is 2 m above the plane of the joints supported by the footpads. The diagonals of the trapezoidal faces such as BCGF cross without touching. If the vertical load L is transmitted to point A and if instrumentation indicates a tensile force of 0.3L in member BC, determine the forces in members CF and CG. (Hint: Begin your analysis at point A and make full use of symmetry.)