How to Find Truss Forces Using the Method of Joints – Statics Trusses Method of Joints Problem 3

In this video, we solve the truss by finding all the member forces using the method of joints. We also determine if the members are in compression or tension. This problem is solved using static equilibrium of rigid bodies along with the method of joints for trusses, 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:
Using the method of joints, determine the force in each member of the truss shown.

Problem walkthrough steps:
Solve for the reactions of the truss (if not already given)
Use the method of joints by isolating a single joint
Sum forces at the joint such that equilibrium is kept
Determine if members attached to the joint are in tension or compression
Repeat process for the other joints in the truss
Check the last joint to make sure equilibrium is kept.

Topics of this problem include:
Free Body Diagram (FBD)
Solving a truss
Finding forces in a truss
Method of joints
Joint hopping
Determining equilibrium
Equilibrium of rigid bodies
Isolating joints
Determining tension or compression of a member
Reactions
Truss 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 P6.2

Engineering statics
Method of Joints Problem 3
Truss problem 3
College level
Professor Engineer
Professor_Engineer