### Problem Statement1. The strut is supported by a pin at C and a steel guy wire AB. The wire AB has a diameter of 0.2 inches. The maximum normal stress that the steel in the wire can withstand is \(\sigma_{\text{max}} = 18 \text{ ksi.}\) Will the wire fail? Show your work and your reasoning.### DiagramThe diagram illustrates a strut supported at point C and by a guy wire AB. The following details are provided:- **Wire AB**: Oriented at a \(60^\circ\) angle to the horizontal axis.- **Force Distribution**: A triangular distributed load of \(200 \text{ lb/ft}\) acts along the horizontal span from point C to point B.- **Distance CB**: The span length CB is 9 feet.### Solution Steps1. **Calculate the Load on the Wire**: - Integrate the distributed load over the 9-foot span to find the total load applied horizontally.2. **Determine the Force in Wire AB**: - Use trigonometry to resolve forces, considering the angle of \(60^\circ\).3. **Calculate the Stress in the Wire**: - Use the formula for stress: \(\sigma = \frac{F}{A}\), where \(A\) is the cross-sectional area of the wire. - Cross-sectional area, \(A = \pi \left(\frac{0.2}{2}\right)^2\).4. **Compare with Maximum Allowable Stress**: - Determine if the calculated stress exceeds \(\sigma_{\text{max}} = 18 \text{ ksi}\).This approach will ascertain whether the wire can safely support the load without failure.

Given Data: The diameter of wire AB is: d=0.2 in=0.0166 ft The maximum normal stress that the steel…

The strut is supported by a pin at C and a steel guy wire AB. The wire AB has a diameter of 0.2 in. The maximum normal stress that the steel in the wire can withstand is omax = 18 ksi. Will the wire fail? Show your work and your reasoning.

The strut is supported by a pin at C and a steel guy wire AB. The wire AB has a diameter of 0.2 in. The maximum normal stress that the steel in the wire can withstand is omax = 18 ksi. Will the wire fail? Show your work and your reasoning.

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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