1. Calculate the horizontal (x) component of the reaction (supporting) force (lb) at point A. 2. Calculate the vertical (y) component of the reaction (supporting) force (lb) at point A. 3. Calculate the magnitude of the total reaction force (Ib) at point A.
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
![Consider the situation below in which a steel beam is supported by a column at one end (at A)
and is supported (at B) part way along its length by a wall. The beam is pinned to the column
at A and is supported by a roller connection at B.
The beam has applied loads as shown in the figure (dark gray vectors).
column
A
8
pinned
6'
1100 lb
500 lb
IX. I
60%
700 lb
B
beam
12'
roller
wall
6'
Based on this information, complete the questions / calculations below.
NOTE: Depending on the specific way in which you choose to solve this problem, the order in which
you solve for each of the required variables may NOT be the order listed below. In general, you](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf413a8d-971d-4735-b915-891e42dbcc42%2Ffbfb5a7c-1436-4b93-9b02-8cb6b838e16c%2Fcuasyxe_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)