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Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L= 1.5 m. The applied force P= 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Figure B H₂ A P D H₂ 1 of 3 Since there are more than two loads applied both members, neither is a two-force member. There are four unknown support reactions and only three equilibrium equations for the whole frame, so the reactions cannot be determined without considering each member separately. Then there are six unknown forces (two forces at A, C, and D) and six equilibrium equations (three equations for each member), so all the reactions and the connecting forces at C can be determined. Begin with the free-body diagram for CD shown in (Figure 2). What is the force C₂, assuming the forces act in the directions shown? Express your answer to three significant figures with appropriate units. View Available Hint(s) C₂ = Submit Part B H μA Value Units ? Once Ca is known, use the free-body diagram for ABC shown in (Figure 3) and solve for the vertical force Cy, assuming the forces act in the directions shown. Express your answer to three significant figures with appropriate units. View Available Hint(s) Part C

Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L= 1.5 m. The applied force P= 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Figure B H₂ A P D H₂ 1 of 3 Since there are more than two loads applied both members, neither is a two-force member. There are four unknown support reactions and only three equilibrium equations for the whole frame, so the reactions cannot be determined without considering each member separately. Then there are six unknown forces (two forces at A, C, and D) and six equilibrium equations (three equations for each member), so all the reactions and the connecting forces at C can be determined. Begin with the free-body diagram for CD shown in (Figure 2). What is the force C₂, assuming the forces act in the directions shown? Express your answer to three significant figures with appropriate units. View Available Hint(s) C₂ = Submit Part B H μA Value Units ? Once Ca is known, use the free-body diagram for ABC shown in (Figure 3) and solve for the vertical force Cy, assuming the forces act in the directions shown. Express your answer to three significant figures with appropriate units. View Available Hint(s) Part C

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Figure Н1 Figure B Figure A Cx P Dx Learning Goal: To solve for the support reactions of a frame. C D 2 The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Cy Dy W W H₂ P 1 of 3 Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Cy 2 of 3 [² 3 of 3 Part A Since there are more than two loads applied both members, neither is a two-force member. There are four unknown support reactions and only three equilibrium equations for the whole frame, so the reactions cannot be determined without considering each member separately. Then there are six unknown forces (two forces at A, C, and D) and six equilibrium equations (three equations for each member), so all the reactions and the connecting forces at C can be determined. Begin with the free-body diagram for CD shown in (Figure 2). What is the force C₂, assuming the forces act in the directions shown? Express your answer to three significant figures with appropriate units. ► View Available Hint(s) CT = Submit Part B O "i Value A₂ = Once C₂ is known, use the free-body diagram for ABC shown in (Figure 3) and solve for the vertical force Cy, assuming the forces act in the directions shown. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Part C Submit What is the horizontal reaction at A? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Part D Part E μA Submit Part F n μA Value What is the vertical reaction at A? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) _O μÅ D₂ = Value Units What is the horizontal reaction at D? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) μA ? μA Units TZ..1... ? Units What is the vertical reaction at D? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) ? TT..:- ? ?
Transcribed Image Text:Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Figure Н1 Figure B Figure A Cx P Dx Learning Goal: To solve for the support reactions of a frame. C D 2 The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Cy Dy W W H₂ P 1 of 3 Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Cy 2 of 3 [² 3 of 3 Part A Since there are more than two loads applied both members, neither is a two-force member. There are four unknown support reactions and only three equilibrium equations for the whole frame, so the reactions cannot be determined without considering each member separately. Then there are six unknown forces (two forces at A, C, and D) and six equilibrium equations (three equations for each member), so all the reactions and the connecting forces at C can be determined. Begin with the free-body diagram for CD shown in (Figure 2). What is the force C₂, assuming the forces act in the directions shown? Express your answer to three significant figures with appropriate units. ► View Available Hint(s) CT = Submit Part B O "i Value A₂ = Once C₂ is known, use the free-body diagram for ABC shown in (Figure 3) and solve for the vertical force Cy, assuming the forces act in the directions shown. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Part C Submit What is the horizontal reaction at A? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) Part D Part E μA Submit Part F n μA Value What is the vertical reaction at A? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) _O μÅ D₂ = Value Units What is the horizontal reaction at D? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) μA ? μA Units TZ..1... ? Units What is the vertical reaction at D? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) ? TT..:- ? ?
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