You are given the structure and loading below. The load w is 2.4 kips/ft. Find the value of downward deflection at point D. Use E = 29,000 ksi. BC is a cable with a diameter of 0.5 in. AB is an I beam (W12x16) with a moment of inertia of 103 in and an area of 4.7 in?. 12 to Apply the 4-step process: 1. Calculate the axial forces and bending moments for the applied load. This requires a full solution of the structure by the methods of Unit 4. 2. Apply the unit load at the location of and in the direction of the desired displacement. 3. Calculate the axial forces and bending moments for the virtual load. This requires another full solution of the structure by the methods of Unit 4. 4. Compute the deflection using the equation above. Here are a few approximate partial answers to check your work along the way: • Peak real moment: 518 kip-in • Real axial force in the cable: 20.4 kips Keep track of the three different contributions for the deflection at point D (axial and bending as appropriate)... 1 What is the magnitude of the deflection at D attributable to axial deformation of member BC (in inches to three decimal points)? Type your answer. 2 What is the magnitude of the deflection at D attributable to axial deformation of member AB (in inches to three decimal points)? Type your answer. What is the magnitude of the deflection at D attributable to flexure of member AB (in inches to three decimal points)?
You are given the structure and loading below. The load w is 2.4 kips/ft. Find the value of downward deflection at point D. Use E = 29,000 ksi. BC is a cable with a diameter of 0.5 in. AB is an I beam (W12x16) with a moment of inertia of 103 in and an area of 4.7 in?. 12 to Apply the 4-step process: 1. Calculate the axial forces and bending moments for the applied load. This requires a full solution of the structure by the methods of Unit 4. 2. Apply the unit load at the location of and in the direction of the desired displacement. 3. Calculate the axial forces and bending moments for the virtual load. This requires another full solution of the structure by the methods of Unit 4. 4. Compute the deflection using the equation above. Here are a few approximate partial answers to check your work along the way: • Peak real moment: 518 kip-in • Real axial force in the cable: 20.4 kips Keep track of the three different contributions for the deflection at point D (axial and bending as appropriate)... 1 What is the magnitude of the deflection at D attributable to axial deformation of member BC (in inches to three decimal points)? Type your answer. 2 What is the magnitude of the deflection at D attributable to axial deformation of member AB (in inches to three decimal points)? Type your answer. What is the magnitude of the deflection at D attributable to flexure of member AB (in inches to three decimal points)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:You are given the structure and loading below. The load w is 2.4 kips/ft. Find the value of downward deflection at point D. Use E =
29,000 ksi. BC is a cable with a diameter of 0.5 in. AB is an I beam (W12x16) with a moment of inertia of 103 in4 and an area of 4.7
in?.
12
A
12'
Apply the 4-step process:
1. Calculate the axial forces and bending moments for the applied load. This requires a full solution of the structure by the
methods of Unit 4.
2. Apply the unit load at the location of and in the direction of the desired displacement.
3. Calculate the axial forces and bending moments for the virtual load. This requires another full solution of the structure by the
methods of Unit 4.
4. Compute the deflection using the equation above.
Here are a few approximate partial answers to check your work along the way:
• Peak real moment: 518 kip-in
• Real axial force in the cable: 20.4 kips
Keep track of the three different contributions for the deflection at point D (axial and bending as appropriate)..
1
What is the magnitude of the deflection at D attributable to axial deformation of member BC (in inches to three decimal points)?
Type your answer...
2
What is the magnitude of the deflection at D attributable to axial deformation of member AB (in inches to three decimal points)?
Type your answer...
3
What is the magnitude of the deflection at D attributable to flexure of member AB (in inches to three decimal points)?
Type your answer..
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