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4.123 The C-shaped steel bar is used as a dynamometer to determine the magnitude P of the forces shown. Knowing that the cross section of the bar is a square of side 40 mm and that the strain on the inner edge was measured and found to be 450 u, determine the magnitude P of the forces. Use E = 200 GPa.

4.123 The C-shaped steel bar is used as a dynamometer to determine the magnitude P of the forces shown. Knowing that the cross section of the bar is a square of side 40 mm and that the strain on the inner edge was measured and found to be 450 u, determine the magnitude P of the forces. Use E = 200 GPa.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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4.123 plz
### Educational Content on Structural Mechanics #### Problem 4.122 Solve Problem 4.121, assuming that the measured strains are: - \( \varepsilon_A = +600 \, \mu \) - \( \varepsilon_B = +420 \, \mu \) #### Problem 4.123 In this problem, a C-shaped steel bar is used as a dynamometer to determine the magnitude \( P \) of the forces shown in the diagram. The cross-section of the bar is a square of side 40 mm. The strain on the inner edge is measured to be 450 microstrain (\( \mu \)). Determine the magnitude \( P \) of the forces. Use the modulus of elasticity \( E = 200 \, \text{GPa} \). #### Diagrams Description - **Fig. P4.121:** This figure illustrates a block with measured strains at points \( A \) and \( B \). The block's dimensions and the placement of the strain gauges are provided: - Height: 90 mm - Central section: 45 mm high and 15 mm wide - Force \( P \) acts horizontally along with the block. - **Fig. P4.123:** This figure depicts a C-shaped steel bar, showing how it is set up as a dynamometer: - The external force \( P \) is applied vertically downward. - Critical distances include 40 mm from the inner curve to the first hole and 80 mm from hole to hole vertically. - The figure indicates the location for strain measurement on the inner edge of the C-shape. This content can support learners in understanding the basic principles involved in stress and strain analysis, particularly applying these concepts in practical engineering scenarios.
Transcribed Image Text:### Educational Content on Structural Mechanics #### Problem 4.122 Solve Problem 4.121, assuming that the measured strains are: - \( \varepsilon_A = +600 \, \mu \) - \( \varepsilon_B = +420 \, \mu \) #### Problem 4.123 In this problem, a C-shaped steel bar is used as a dynamometer to determine the magnitude \( P \) of the forces shown in the diagram. The cross-section of the bar is a square of side 40 mm. The strain on the inner edge is measured to be 450 microstrain (\( \mu \)). Determine the magnitude \( P \) of the forces. Use the modulus of elasticity \( E = 200 \, \text{GPa} \). #### Diagrams Description - **Fig. P4.121:** This figure illustrates a block with measured strains at points \( A \) and \( B \). The block's dimensions and the placement of the strain gauges are provided: - Height: 90 mm - Central section: 45 mm high and 15 mm wide - Force \( P \) acts horizontally along with the block. - **Fig. P4.123:** This figure depicts a C-shaped steel bar, showing how it is set up as a dynamometer: - The external force \( P \) is applied vertically downward. - Critical distances include 40 mm from the inner curve to the first hole and 80 mm from hole to hole vertically. - The figure indicates the location for strain measurement on the inner edge of the C-shape. This content can support learners in understanding the basic principles involved in stress and strain analysis, particularly applying these concepts in practical engineering scenarios.
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