Solving Forces in Members: Fd, Fg = ?

In summary, the question asks for the magnitudes of the reactions at point D and G in order to maintain equilibrium in the structure. Assuming weightless members and rigid bodies, with the given values of a_c = 3.60 m, b_c = 2.40 m, and P = 106 N, the answers should be expressed numerically in Newtons to three significant figures, separated by a comma.
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Homework Statement



As shown, a load of magnitude P is applied to a structure. Assuming that all members are weightless and that ABEF and BCD are rigid bodies, find the magnitudes of the reactions at D and G needed to maintain the structure in equilibrium.

http://session.masteringengineering.com/problemAsset/1125606/23/1125606_08.jpg

Assume the following values: a_c = 3.60 m, b_c = 2.40 m, and P = 106 N. Express your answers numerically in Newtons to three significant figures separated by a comma.

Fd, Fg = ?

Any help would be greatly appreciated.


Homework Equations





The Attempt at a Solution

 
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It couldn't hurt to write the equations of static equilibrium after making a free body diagram of this structure.
 

FAQ: Solving Forces in Members: Fd, Fg = ?

What are forces in members?

Forces in members refer to the external forces acting on a structural member, such as a beam or column, in a given system. These forces can include tension, compression, shear, and bending.

How do you calculate forces in members?

To calculate forces in members, you must analyze the equilibrium of the entire system and use Newton's laws of motion. This involves breaking down the forces acting on the member and determining the magnitude and direction of each force.

What is the difference between Fd and Fg in solving forces in members?

Fd, or the distributed load, refers to a load that is uniformly distributed along the length of a member, while Fg, or the gravitational force, refers to the weight of the member itself. Both of these forces must be taken into account when solving for forces in members.

What are some common methods for solving forces in members?

Some common methods for solving forces in members include the method of joints, the method of sections, and the method of virtual work. Each method involves different approaches to analyzing the forces acting on a member and can be used depending on the complexity of the system.

How can solving forces in members be applied in real-world situations?

Solving forces in members is essential in designing and analyzing structures in various fields, such as civil engineering, mechanical engineering, and architecture. It allows us to ensure the structural integrity and safety of buildings, bridges, and other structures by determining the maximum load a member can withstand before failure. It also helps in optimizing the design and material selection for cost and efficiency.

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