As shown, a truss is loaded with forces P=207 lb and P = 398 lb and has the dimension a 3.10 ft. Determine A, and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy. joint C's reaction force's magnitude in the y direction. Express your answers numerically pounds to three significant figures separated by commas. ▸ View Available Hint(s) Az. Ay. Cy IVE ΑΣΦ | 11 | νεο → C lb L.
As shown, a truss is loaded with forces P=207 lb and P = 398 lb and has the dimension a 3.10 ft. Determine A, and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy. joint C's reaction force's magnitude in the y direction. Express your answers numerically pounds to three significant figures separated by commas. ▸ View Available Hint(s) Az. Ay. Cy IVE ΑΣΦ | 11 | νεο → C lb L.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![Learning Goal:
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:
Σ F = 0
Σ F = 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 = 207 lb and P₂ = 398 lb and has the dimension a = 3.10 ft.
AT, Ay, Cy=
Determine A, and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy, joint C's reaction force's magnitude in the y direction.
Express your answers numerically in pounds to three significant figures separated by commas.
► View Available Hint(s)
VAΣo↓↑vec
?
P₁
lb
P₁₂
B
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c91e8d4-c182-4876-82b1-3c6b4fa1f835%2F672b9192-4037-4156-a684-20a3ec0b8764%2Fejkc78l_processed.png&w=3840&q=75)
Transcribed Image Text:Learning Goal:
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:
Σ F = 0
Σ F = 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 = 207 lb and P₂ = 398 lb and has the dimension a = 3.10 ft.
AT, Ay, Cy=
Determine A, and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy, joint C's reaction force's magnitude in the y direction.
Express your answers numerically in pounds to three significant figures separated by commas.
► View Available Hint(s)
VAΣo↓↑vec
?
P₁
lb
P₁₂
B
C
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