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).

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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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).

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