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TEST YOUR UNDERSTANDING! Problem 1 Four wires support the rigid members CD and AB. If a 500-lb load is applied at point I, determine the angle of tilt of AB and the displacement of point A. The members were originally horizontal, each wire has a cross-sectional area of 0.5 in² and E= 29 x 106 psi. (Taken from Hibbeler, 2015) Problem 2 The horizontal rigid bar is supported by bars A and B and a pin support. If the system is loaded by P₁ and P2, what would be the vertical displacement of the point of application of P₁? Follow these questions for your solution: 1) Draw the FBDs needed. What is the normal force in bar A? in bar B? 2) Draw the deformation diagram. What compatibility equation would you use to determine the displacement of the point of application of P₁? How did the horizontal bar tilt? Answer to Test your understanding box 1 Problem 1: Follow these questions for your solution: 1. Draw the FBDs of bar CD and bar AB. What are the forces in the wires? 2. Is the problem statically determinate? 3. What are the deformations of the wires? Will you add all or any these deformations? 4. Draw the deformation diagram of bar CD. Is there a pivot point along the bar just like points A and D in Problem 2-8? How will you apply similar triangles in this case? What is the compatibility equation to get the deflection of H? What is the deflection of point H? 5. Draw the deformation diagram of bar AB. What is its angle of tilt? Did you use the sin function of the tangent function in getting the angle of tilt? Which would be more accurate? P₁ = 20 kips Problem 2: THA 1.8 ft 2 ft H d = 1 in L=1.5 ft E = 10 x 10º psi Displacement of point A = 3.5862 x 10¹¹ in, downward; angle of tilt of AB= 1.4242 x 103, clockwise -2 ft- d=2 in B L=1ft P₂-20 kps E= 10 x 10° psi 3 ft 3 ft (TYU 2-4) Vertical displacement of point of application of P₁ = 0.0147 in, downward G 5 ft +-184 500 lb

TEST YOUR UNDERSTANDING! Problem 1 Four wires support the rigid members CD and AB. If a 500-lb load is applied at point I, determine the angle of tilt of AB and the displacement of point A. The members were originally horizontal, each wire has a cross-sectional area of 0.5 in² and E= 29 x 106 psi. (Taken from Hibbeler, 2015) Problem 2 The horizontal rigid bar is supported by bars A and B and a pin support. If the system is loaded by P₁ and P2, what would be the vertical displacement of the point of application of P₁? Follow these questions for your solution: 1) Draw the FBDs needed. What is the normal force in bar A? in bar B? 2) Draw the deformation diagram. What compatibility equation would you use to determine the displacement of the point of application of P₁? How did the horizontal bar tilt? Answer to Test your understanding box 1 Problem 1: Follow these questions for your solution: 1. Draw the FBDs of bar CD and bar AB. What are the forces in the wires? 2. Is the problem statically determinate? 3. What are the deformations of the wires? Will you add all or any these deformations? 4. Draw the deformation diagram of bar CD. Is there a pivot point along the bar just like points A and D in Problem 2-8? How will you apply similar triangles in this case? What is the compatibility equation to get the deflection of H? What is the deflection of point H? 5. Draw the deformation diagram of bar AB. What is its angle of tilt? Did you use the sin function of the tangent function in getting the angle of tilt? Which would be more accurate? P₁ = 20 kips Problem 2: THA 1.8 ft 2 ft H d = 1 in L=1.5 ft E = 10 x 10º psi Displacement of point A = 3.5862 x 10¹¹ in, downward; angle of tilt of AB= 1.4242 x 103, clockwise -2 ft- d=2 in B L=1ft P₂-20 kps E= 10 x 10° psi 3 ft 3 ft (TYU 2-4) Vertical displacement of point of application of P₁ = 0.0147 in, downward G 5 ft +-184 500 lb

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.3.31P: A bar ABC revolves in a horizontal plane about a vertical axis at the midpoint C (see figure). The...
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TEST YOUR UNDERSTANDING! Problem 1 Four wires support the rigid members CD and AB. If a 500-lb load is applied at point I, determine the angle of tilt of AB and the displacement of point A. The members were originally horizontal, each wire has a cross-sectional area of 0.5 in² and E = 29 x 106 psi. (Taken from Hibbeler, 2015) Follow these questions for your solution: 1. Draw the FBDs of bar CD and bar AB. What are the forces in the wires? Problem 2 The horizontal rigid bar is supported by bars A and B and a pin support. If the system is loaded by P₁ and P2, what would be the vertical displacement of the point of application of P₁? Follow these questions for your solution: 1) Draw the FBDs needed. What is the normal force in bar A? in bar B? 2) Draw the deformation diagram. What compatibility equation would you use to determine the displacement of the point of application of P₁? How did the horizontal bar tilt? Answer to Test your understanding box 1 Problem 1: E Problem 2: D THA 1.8 ft 2 ft H 2. Is the problem statically determinate? 3. What are the deformations of the wires? Will you add all or any these deformations? 4. Draw the deformation diagram of bar CD. Is there a pivot point along the bar just like points A and D in Problem 2-8? How will you apply similar triangles in this case? What is the compatibility equation to get the deflection of H? What is the deflection of point H? 5. Draw the deformation diagram of bar AB. What is its angle of tilt? Did you use the sin function of the tangent function in getting the angle of tilt? Which would be more accurate? P₁ = 20 kips Displacement of point A = 3.5862 x 104 in, downward; angle of tilt of AB = 1.4242 x 10-30, clockwise A d=1 in L=1.5 ft E = 10 x 10º psi -2 ft- F d=2 in B L=1ft P₂-20 kps E= 10 x 10° psi -3 ft- 3 ft 3 ft (TYU 2-4) Vertical displacement of point of application of P₁ = 0.0147 in, downward 5 ft +-1 ft-4 500 lb B
Transcribed Image Text:TEST YOUR UNDERSTANDING! Problem 1 Four wires support the rigid members CD and AB. If a 500-lb load is applied at point I, determine the angle of tilt of AB and the displacement of point A. The members were originally horizontal, each wire has a cross-sectional area of 0.5 in² and E = 29 x 106 psi. (Taken from Hibbeler, 2015) Follow these questions for your solution: 1. Draw the FBDs of bar CD and bar AB. What are the forces in the wires? Problem 2 The horizontal rigid bar is supported by bars A and B and a pin support. If the system is loaded by P₁ and P2, what would be the vertical displacement of the point of application of P₁? Follow these questions for your solution: 1) Draw the FBDs needed. What is the normal force in bar A? in bar B? 2) Draw the deformation diagram. What compatibility equation would you use to determine the displacement of the point of application of P₁? How did the horizontal bar tilt? Answer to Test your understanding box 1 Problem 1: E Problem 2: D THA 1.8 ft 2 ft H 2. Is the problem statically determinate? 3. What are the deformations of the wires? Will you add all or any these deformations? 4. Draw the deformation diagram of bar CD. Is there a pivot point along the bar just like points A and D in Problem 2-8? How will you apply similar triangles in this case? What is the compatibility equation to get the deflection of H? What is the deflection of point H? 5. Draw the deformation diagram of bar AB. What is its angle of tilt? Did you use the sin function of the tangent function in getting the angle of tilt? Which would be more accurate? P₁ = 20 kips Displacement of point A = 3.5862 x 104 in, downward; angle of tilt of AB = 1.4242 x 10-30, clockwise A d=1 in L=1.5 ft E = 10 x 10º psi -2 ft- F d=2 in B L=1ft P₂-20 kps E= 10 x 10° psi -3 ft- 3 ft 3 ft (TYU 2-4) Vertical displacement of point of application of P₁ = 0.0147 in, downward 5 ft +-1 ft-4 500 lb B
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