determine the reaction of horizontal and vertical components in
the axis A and the reaction of the rocker arm B on the beam, the image is
a little fuzzy but there is a force of 4kN pushing down, it’s an 8m
beam, there are 6 m from point A on the left to where the force is
applied, so there are 2 meters from where the force is applied
the rocker arm, or point B. Point B is at a 30 degree angle.
Answer 1
general orientation
Concepts and reason
Equilibrium of a rigid body:
An object is said to be in equilibrium when the sum of all external forces and torques is zero.
The equilibrium conditions of a three-dimensional rigid body are that the sum of the external forces acting in the x, y, and z directions must be zero, and the sum of the external torques around any point must be zero.
The magnitude of the moment of the force acting around a point or axis is directly proportional to the distance of the force from the point or axis. It can be determined by the product of the force and the perpendicular distance between the point at which the force is applied and the point around which the moment is to be calculated.
Support reactions:
If there is a force acting on a support due to which, the translational motion of the object is limited or impeded. The force developed is therefore called the support reaction.
Main types of media:
Fixed bracket:
Prevents rotation, horizontal and vertical translation. It is shown in figure (1a).
Fixed bracket:
This bracket prevents horizontal and vertical translation. It is shown in figure (1b).
Roll holder:
This support cannot prevent rotation or horizontal movement, but can only provide vertical support reaction to the surface as shown in figure (1c).
Rocker bracket:
This support is almost similar to the roller and will only have a vertical force acting as shown in figure (1d).
free body diagram:
It is a graphic and symbolic illustration which is used to visualize the forces which are applied, the movements and the reactions of a body to a particular condition.
Sign convention:
Represent upward forces and forces acting on the right side with a positive sign and downward forces and forces acting on the left side with a negative sign. Represent clockwise moments with a positive sign and counter-clockwise moments with a negative sign.
Fundamentals
Write the equilibrium condition for the forces along the x axis.
Here, the sum of the forces along the x axis is .
Write the equilibrium force equation on the y-axis.
Here, the total force acting on the y axis is .
Write the equilibrium moment condition around any point.
Here, the sum of the moments is .
Write the formula for the moment due to the force.
Here the force is and the perpendicular distance is .
Step by step
Step 1 of 3
Draw the free body diagram of the given bundle.
Calculate the external support reactions:
Use the balance equations:
Consider the sum of the forces in the x direction:
…… (1)
Consider the sum of the forces in the y direction:
…… (of them)
Evaluate so that the moments around are zero
The reaction force on rocker arm B is .
Consider the equilibrium moment at A to find the reaction at rocker arm B.
Given the balance of moments at A, represent clockwise moments with a positive sign and counter-clockwise moments with a negative sign, but do not represent clockwise and counterclockwise moments with the same sign.
Use the vertical and horizontal equilibrium conditions to find the vertical and horizontal components of the reaction at A.
Step 2 of 3
Calculate the horizontal component of the reaction at A:
Substitute into equation (1).
The horizontal component of the reaction at A is
Consider the horizontal equilibrium condition to find the horizontal component of the reaction at A.
Use the vertical equilibrium conditions to find the vertical component of the reaction at A.
Step 3 of 3
Calculate the vertical component of the reaction at A.
Substitute the value in equation (2),
The vertical component of the reaction at A is
Consider the vertical equilibrium condition to find the vertical component of the reaction at A.
Answer
The reaction force on rocker arm B is .
The horizontal component of the reaction at A is
The vertical component of the reaction at A is
answer only
The reaction force on rocker arm B is .
The horizontal component of the reaction at A is
The vertical component of the reaction at A is
Types of support Reaction forces Fixed support TI Spindle support Roller support Probe support Tilt support (d) Figure 1
ΣF = 0
ΣΕ, = 0
ΣΜ = 0
M = Fd
4 kN – B—– R. cos 60° 4 6 m | 2m 60° Rp R, sin 60°
ΣΕ = 0 Α, – R, cos 60° = 0
ΣΕ, = 0
4, +R, sin 60º = 4 kN
0=’W3
R, sin 60°x8-4×6=0 R, sin 60° x 8 = 24 24 R, = sin 60° 8 Rx = 3.46 kN
3.46 kN at RB
4x-RB Cos 60º = 0 4x -3.46cos 60º = 0 4x = 1.732 kN
3.46 kN at RB
A, – Rp sin 60º = 4 A, -3.46 sin 60º = 4 Ay = 4 – 3.46 sin 60° A, = 1.00 KN
3.46kN
3.46kN
4.46kN
5.46kN
6.62kN
1,732 KN
Unable to transcribe this image
Related Posts
How to become a Fundraising Manager?
How do I become a fundraiser? If you want to become a fundraising manager, this profession comes with great responsibilities. Let us know more about How to Become a Fundraising Manager? and some other related details. If you want to become a fundraising manager, this profession comes with great responsibilities. The responsibility of fundraising managers is to oversee all fundraising functions for the company or organizations they work for. It can be said that behind a successful business there is the expert hand of the fundraiser. Thanks to their advice, the company makes a profit.Who is a fundraising manager?A fundraising manager is a person who has leadership quality and holds a senior position in a fundraising or development company. Fundraising and fundraising have a little difference. a fund development manager has the role of strategically directing fundraising, while fundraising means raising money for the business. The manager's job is to develop and execute strategies for the organization the manager works for. they also involve the varieties of strategic planning of fundraising actions. Proper planning and visualization of fundraising campaigns is also handled by the fundraising manager. A manager's job varies from day to day depending on the type of fundraising Read more
How to Become a Jet Engine Mechanic?
How to become a jet engine mechanic? The job of the jet engine mechanic of the era is to check and maintain the aircraft equipment and repair if there is a problem with the aircraft and to operate the aircraft properly and in good condition. completely safe. Let us know more about Jet Engine MEchanics in this article. The jet engine mechanic's job for the day is to check and maintain aircraft equipment and repair if there is a problem with the aircraft and to operate the aircraft properly and safely. security. includes responsibilities to inspect the aircraft and maintain aircraft maintenance. They are experts in repairing and identifying the problem by seeing the symptoms on the aircraft. They may be involved in work on small planes, large planes and helicopters.Responsibilities of a Jet Engine MechanicJet mechanics have to inspect and examine different components of the plane to see if they are working properly or not.They should also check the landing gear and hydraulics, and see if there are any cracks, breaks, leaks, and other common issues on an aircraft.The jet mechanic must be able to read and explain the aircraft maintenance issue and other aircraft technical issues.While servicing an Read more
How to Become a Radiologist?
How to become a radiologist? Do you also aspire to become a radiologist? This is the right article for you then. You can know everything about, How to become a radiologist? and intriguing details related to it.How to become a radiologist?If you're interested in sitting in a darkened room, looking at x-rays, and steering the patient away from what's causing the problem, a radiologist should do all of those things. Let's clear up people's false perspective on radiology myths and give them a clear thinking about radiology. a patient comes to radiology unless and unless the disease is related to the depth of the skin that you cannot see with your eyes.What do radiologists do?Radiologists are experts at explaining the meaning of diagnostic images. They know the power of this machine, which takes a diagnostic image and treats the disease. The radiologist will guide the patient, explaining in detail where the problem is in the body and how to treat it only at an early stage.Why prefer radiology and myth?As the radiology can reach the part inside the body which the doctor can reach easily without using a sharp knife with the help of the radiology, the problem can be Read more
How to Become a Kindergarten Teacher Assistant?
How to become a nursery assistant? Are you also interested in the field of teaching, but do not have any experience? You can then earn some by being an assistant professor. Let us know, "How to Become a Kindergarten Teacher Assistant?" and details about it. Kindergarten teacher aides are also known as teacher aides, paraprofessionals, or educational aides who work with kindergarten teachers to make the lesson more effective and the outcome more effective. The assistant kindergarten teacher guides the student by working with him individually or in small groups of teachers to reinforce his concept. Assistant teachers should be concerned about students in the playground, on buses and in the cafeteria. As we know, children at this age are taught to understand things easily and have more energy because they are impulsive, so the job of kindergarten teacher assistant is much more stressful. but this stress is expected by the reward of seeing or observing the progress of the children in the classes and at the end of the year. The purpose of the childminder:The role of the assistant kindergarten teacher is to make every effort to see the progress of each student under the direction of the main Read more
