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Learning Goal: To apply the method of sections to find the forces in specific members of a truss. The method of sections is used to find the force in a specific member of a truss and is based on the principle that, if a body is in equilibrium, then every part of that body is also in equilibrium. When applied, the method of sections "cuts" or sections the members of a truss and exposes their internal forces. To find the unknown internal member forces, the free-body diagram of a section is drawn and the equations of equilibrium are applied: ΣΜ0 - 0 Because there are only three independent equilibrium equations, section cuts should be made such that there are not more than three members that have unknown forces. Part A As shown, a truss is loaded by the forces P₁ = 497 lb and P₂ = 198 lb and has the dimension a = 9.40 ft. L. B FBC = ΣF - 0 ΣΕ, = 0 C H a/2 a/2 Determine Fc, the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. 10] ΑΣΦ / 11 /vec ? lbs

Learning Goal: To apply the method of sections to find the forces in specific members of a truss. The method of sections is used to find the force in a specific member of a truss and is based on the principle that, if a body is in equilibrium, then every part of that body is also in equilibrium. When applied, the method of sections "cuts" or sections the members of a truss and exposes their internal forces. To find the unknown internal member forces, the free-body diagram of a section is drawn and the equations of equilibrium are applied: ΣΜ0 - 0 Because there are only three independent equilibrium equations, section cuts should be made such that there are not more than three members that have unknown forces. Part A As shown, a truss is loaded by the forces P₁ = 497 lb and P₂ = 198 lb and has the dimension a = 9.40 ft. L. B FBC = ΣF - 0 ΣΕ, = 0 C H a/2 a/2 Determine Fc, the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. 10] ΑΣΦ / 11 /vec ? lbs

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 73E
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5.4.4 The Method of Sections Learning Goal: To apply the method of sections to find the forces in specific members of a truss. The method of sections is used to find the force in a specific member of a truss and is based on the principle that, if a body is in equilibrium, then every part of that body is also in equilibrium. When applied, the method of sections "cuts" or sections the members of a truss and exposes their internal forces. To find the unknown internal member forces, the free-body diagram of a section is drawn and the equations of equilibrium are applied: ΣF = 0 Σ F, = 0 ΣMo = 0 Because there are only three independent equilibrium equations, section cuts should be made such that there are not more than three members that have unknown forces. Part A As shown, a truss is loaded by the forces P₁ = 497 lb and P₂ = 198 lb and has the dimension a = 9.40 ft. y H M B C a/2 a/2 Determine FBc, the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. 195] ΑΣΦ | 11 Ivec FBC = lbs
Transcribed Image Text:5.4.4 The Method of Sections Learning Goal: To apply the method of sections to find the forces in specific members of a truss. The method of sections is used to find the force in a specific member of a truss and is based on the principle that, if a body is in equilibrium, then every part of that body is also in equilibrium. When applied, the method of sections "cuts" or sections the members of a truss and exposes their internal forces. To find the unknown internal member forces, the free-body diagram of a section is drawn and the equations of equilibrium are applied: ΣF = 0 Σ F, = 0 ΣMo = 0 Because there are only three independent equilibrium equations, section cuts should be made such that there are not more than three members that have unknown forces. Part A As shown, a truss is loaded by the forces P₁ = 497 lb and P₂ = 198 lb and has the dimension a = 9.40 ft. y H M B C a/2 a/2 Determine FBc, the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. 195] ΑΣΦ | 11 Ivec FBC = lbs
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Part B As shown, a truss is loaded by the forces P₁ = 497 lb and P₂ = 198 lb and has the dimension a = 9.40 ft. H M B с ** FCG, FGH = a/2 a/2 P₂ Determine FCG and FGH, the magnitudes of the forces in members CG and GH, respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answers numerically in pounds to three significant figures separated by a comma. ▸ View Available Hint(s) E 195] ΑΣΦΗ 41 | vec SWED ? lb
Transcribed Image Text:Part B As shown, a truss is loaded by the forces P₁ = 497 lb and P₂ = 198 lb and has the dimension a = 9.40 ft. H M B с ** FCG, FGH = a/2 a/2 P₂ Determine FCG and FGH, the magnitudes of the forces in members CG and GH, respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answers numerically in pounds to three significant figures separated by a comma. ▸ View Available Hint(s) E 195] ΑΣΦΗ 41 | vec SWED ? lb
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