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Learning Goal: To apply the method of joints to find the forces in a truss's members. For a truss, the method of joints is used to determine the forces in the members. To find each member's force, the equilibrium of individual joints is considered. The member forces become external forces in a joint's free-body diagram and must satisfy the following equations of equilibrium: ΣΕ = 0 Σ Ε = 0 Because each joint is subjected to a coplanar and concurrent force system, no moment equations are needed. The analysis of a truss should always begin with a joint that has at least one known force and at most two unknown forces. These equations of equilibrium yield two algebraic equations that can be solved for at most two unknowns. Part A As shown, a truss is loaded with forces P₁ = 200 lb and P2 = 401 lb and has the dimension a = 2.80 ft. D C Determine A and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and C₁y, joint C's reaction force's magnitude in the y direction. Express your answers numerically in pounds to three significant figures separated by commas. You did not open hints for this part. ANSWER: Az. Ay, Cy= lb

Learning Goal: To apply the method of joints to find the forces in a truss's members. For a truss, the method of joints is used to determine the forces in the members. To find each member's force, the equilibrium of individual joints is considered. The member forces become external forces in a joint's free-body diagram and must satisfy the following equations of equilibrium: ΣΕ = 0 Σ Ε = 0 Because each joint is subjected to a coplanar and concurrent force system, no moment equations are needed. The analysis of a truss should always begin with a joint that has at least one known force and at most two unknown forces. These equations of equilibrium yield two algebraic equations that can be solved for at most two unknowns. Part A As shown, a truss is loaded with forces P₁ = 200 lb and P2 = 401 lb and has the dimension a = 2.80 ft. D C Determine A and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and C₁y, joint C's reaction force's magnitude in the y direction. Express your answers numerically in pounds to three significant figures separated by commas. You did not open hints for this part. ANSWER: Az. Ay, Cy= lb

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Learning Goal: To apply the method of joints to find the forces in a truss's members. For a truss, the method of joints is used to determine the forces in the members. To find each member's force, the equilibrium of individual joints is considered. The member forces become external forces in a joint's free-body diagram and must satisfy the following equations of equilibrium: ΣΕ = 0 Σ Ε = 0 Because each joint is subjected to a coplanar and concurrent force system, no moment equations are needed. The analysis of a truss should always begin with a joint that has at least one known force and at most two unknown forces. These equations of equilibrium yield two algebraic equations that can be solved for at most two unknowns. Part A As shown, a truss is loaded with forces P₁ = 200 lb and P2 = 401 lb and has the dimension a = 2.80 ft. D C Determine A and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and C₁y, joint C's reaction force's magnitude in the y direction. Express your answers numerically in pounds to three significant figures separated by commas. You did not open hints for this part. ANSWER: Az. Ay, Cy= lb
Transcribed Image Text:Learning Goal: To apply the method of joints to find the forces in a truss's members. For a truss, the method of joints is used to determine the forces in the members. To find each member's force, the equilibrium of individual joints is considered. The member forces become external forces in a joint's free-body diagram and must satisfy the following equations of equilibrium: ΣΕ = 0 Σ Ε = 0 Because each joint is subjected to a coplanar and concurrent force system, no moment equations are needed. The analysis of a truss should always begin with a joint that has at least one known force and at most two unknown forces. These equations of equilibrium yield two algebraic equations that can be solved for at most two unknowns. Part A As shown, a truss is loaded with forces P₁ = 200 lb and P2 = 401 lb and has the dimension a = 2.80 ft. D C Determine A and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and C₁y, joint C's reaction force's magnitude in the y direction. Express your answers numerically in pounds to three significant figures separated by commas. You did not open hints for this part. ANSWER: Az. Ay, Cy= lb
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