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Problem 4: The two bars can deform elastically. They are pinned at point B. The length of AB is 400 mm, length of BC is 250 mm, areas of cross- section of AB and BC are both equal to 35 square millimeters, and modulus of elasticity for material of the bars is the same, and equal to 250 GPa. Angle between AB and the horizontal is 30 degrees. Showing proper coordinate system (positive and negative directions), a. Consider the first figure below. A vertically downward force Facts at pin B. If the horizontal component of the displacement of B is 0.25 mm, determine the magnitude of the force applied, the vertical component of the displacement of B, and the net displacement of point B due to the elongation of bars AB and BC. Show all work and figures clearly. B F b. Now, consider the second figures, where there is a leftward force of magnitude F = 2500 N acting at pin B. Determine the horizontal and vertical components of the deflection of point B, as well as the net deflection of point B. F · B -L

Problem 4: The two bars can deform elastically. They are pinned at point B. The length of AB is 400 mm, length of BC is 250 mm, areas of cross- section of AB and BC are both equal to 35 square millimeters, and modulus of elasticity for material of the bars is the same, and equal to 250 GPa. Angle between AB and the horizontal is 30 degrees. Showing proper coordinate system (positive and negative directions), a. Consider the first figure below. A vertically downward force Facts at pin B. If the horizontal component of the displacement of B is 0.25 mm, determine the magnitude of the force applied, the vertical component of the displacement of B, and the net displacement of point B due to the elongation of bars AB and BC. Show all work and figures clearly. B F b. Now, consider the second figures, where there is a leftward force of magnitude F = 2500 N acting at pin B. Determine the horizontal and vertical components of the deflection of point B, as well as the net deflection of point B. F · B -L

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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Problem 4: The two bars can deform elastically. They are pinned at point B. The length of AB is 400 mm, length of BC is 250 mm, areas of cross- section of AB and BC are both equal to 35 square millimeters, and modulus of elasticity for material of the bars is the same, and equal to 250 GPa. Angle between AB and the horizontal is 30 degrees. Showing proper coordinate system (positive and negative directions), a. Consider the first figure below. A vertically downward force Facts at pin B. If the horizontal component of the displacement of B is 0.25 mm, determine the magnitude of the force applied, the vertical component of the displacement of B, and the net displacement of point B due to the elongation of bars AB and BC. Show all work and figures clearly. B F b. Now, consider the second figures, where there is a leftward force of magnitude F = 2500 N acting at pin B. Determine the horizontal and vertical components of the deflection of point B, as well as the net deflection of point B. F · B -L
Transcribed Image Text:Problem 4: The two bars can deform elastically. They are pinned at point B. The length of AB is 400 mm, length of BC is 250 mm, areas of cross- section of AB and BC are both equal to 35 square millimeters, and modulus of elasticity for material of the bars is the same, and equal to 250 GPa. Angle between AB and the horizontal is 30 degrees. Showing proper coordinate system (positive and negative directions), a. Consider the first figure below. A vertically downward force Facts at pin B. If the horizontal component of the displacement of B is 0.25 mm, determine the magnitude of the force applied, the vertical component of the displacement of B, and the net displacement of point B due to the elongation of bars AB and BC. Show all work and figures clearly. B F b. Now, consider the second figures, where there is a leftward force of magnitude F = 2500 N acting at pin B. Determine the horizontal and vertical components of the deflection of point B, as well as the net deflection of point B. F · B -L
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