A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load. Key Details: Bar properties: Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C. Cross-sectional area: AC: 1960 mm² AD: 1250 mm² Length: AC: √2 meters (square root of 2 meters) AD: 1 meter Inclination angles: AC: θ₁ (theta 1) = 30° from horizontal AD: θ₂ (theta 2) = 20° from horizontal Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B. Problem Objectives: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions. If the bar is cooled by 10°C, what would be the: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions. Note: This problem assumes the bars are rigid and experience only axial deformation (elongation or shortening) due to the applied load and temperature changes (if any).
A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load. Key Details: Bar properties: Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C. Cross-sectional area: AC: 1960 mm² AD: 1250 mm² Length: AC: √2 meters (square root of 2 meters) AD: 1 meter Inclination angles: AC: θ₁ (theta 1) = 30° from horizontal AD: θ₂ (theta 2) = 20° from horizontal Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B. Problem Objectives: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions. If the bar is cooled by 10°C, what would be the: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions. Note: This problem assumes the bars are rigid and experience only axial deformation (elongation or shortening) due to the applied load and temperature changes (if any).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load.
Key Details:
- Bar properties:
- Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C.
- Cross-sectional area:
- AC: 1960 mm²
- AD: 1250 mm²
- Length:
- AC: √2 meters (square root of 2 meters)
- AD: 1 meter
- Inclination angles:
- AC: θ₁ (theta 1) = 30° from horizontal
- AD: θ₂ (theta 2) = 20° from horizontal
- Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B.
Problem Objectives:
- Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB.
- Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions.
If the bar is cooled by 10°C, what would be the: - Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB.
- Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions.
Note: This problem assumes the bars are rigid and experience only axial deformation (elongation or shortening) due to the applied load and temperature changes (if any).
![3m
m
C
A
D
B
30 KN/m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c16b39b-9717-4930-8b48-edc4c7d5dd02%2Fc87cb8c6-4bc2-4072-949b-16af5c1292a6%2Fjx763yp_processed.png&w=3840&q=75)
Transcribed Image Text:3m
m
C
A
D
B
30 KN/m
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