How to Find the Reactions at the Supports – Static Equilibrium of Rigid Bodies– Reaction Problem 9
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How to Find the Reactions at the Supports – Static Equilibrium of Rigid Bodies– Reaction Problem 9
3 819 просмотров · 2 года назад
Professor Engineer
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3 819 просмотров · 2 года назад
In this video, we find the reactions at the supports for the element/member/system/beam shown due to the applied forces. This problem is solved using static equilibrium of rigid bodies and the property that all forces, internal and external, must cancel and counteract each other so all forces sum to be zero, including reactions at supports.
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Problem statement:
A load of lumber of weight W = 25 kN is being raised as shown by a mobile crane. Knowing that the tension is 25 kN in all portions of cable AEF and that the weight of boom ABC is 3 kN, determine (a) the tension in rod CD, (b) the reaction at pin B.
Problem walkthrough steps:
Draw a free body diagram
Determine how many and what type of reactions is problem has
Assume arrow directions for reactions
Use the three equilibrium equations of summation, X, Y and Moment to determine the reaction values
Check answers
Topics of this problem include:
Free Body Diagram (FBD)
Solve a statics equilibrium problem with multiple unknowns
Determining equilibrium
Equilibrium of rigid bodies
Reactions
Beam reactions
Support reactions
Assuming reaction arrow directions
Summation of forces in the x and y directions
Summation of moment about a point
Vector Addition
Force combination
Vector combination
Vector Mechanics
Orthogonal vectors
Summing forces to be zero
Calculation of reactions
Find the reactions
Determining support type
How many reactions at support
Beer Johnston problem 4.4
Engineering statics
Reaction Problem 9
College level
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