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A frame ABC consists of a horizontal beam BC which is supported by a round solid rod AB inclined at a 50° angle, as shown below. The ends of the rod AB are flattened to make pin connections at A and B. A vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with modulus equal to 207 GPa and yield strength of 220 MPa. (a) Using a factor of safety of 2.5, determine the diameter of the rod AB. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The tensile yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5. 5,000 N В C 5 m 3 m 50° A

A frame ABC consists of a horizontal beam BC which is supported by a round solid rod AB inclined at a 50° angle, as shown below. The ends of the rod AB are flattened to make pin connections at A and B. A vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with modulus equal to 207 GPa and yield strength of 220 MPa. (a) Using a factor of safety of 2.5, determine the diameter of the rod AB. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The tensile yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5. 5,000 N В C 5 m 3 m 50° A

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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**Transcription and Analysis of the Engineering Problem:** A frame ABC consists of a horizontal beam BC, which is supported by a round solid rod AB inclined at a 50° angle, as shown below. The ends of the rod AB are flattened to make pin connections at A and B. A vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with a modulus equal to 207 GPa and a yield strength of 220 MPa. (a) Using a factor of safety of 2.5, determine the diameter of the rod AB. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The tensile yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5. **Diagram Explanation:** The diagram illustrates a structural setup with the following features: - **Point A**: Situated at the lower left and connected to the ground, forming a 50° angle with the inclined rod AB. - **Point B**: Located at the top end of the inclined rod AB, connecting to the horizontal beam BC. - **Point C**: Positioned at the far right end of the horizontal beam BC, supported by a vertical wall. - **Rod AB**: Inclined, with a length of 3 meters and connected at an angle of 50° from the horizontal. - **Beam BC**: Horizontal, with a length of 5 meters, supporting a vertical load of 5,000 N at its midpoint. The setup includes the forces and structural constraints necessary to solve for the diameter of the rod AB and the pin diameter at B, given the specified material properties and safety factors.
Transcribed Image Text:**Transcription and Analysis of the Engineering Problem:** A frame ABC consists of a horizontal beam BC, which is supported by a round solid rod AB inclined at a 50° angle, as shown below. The ends of the rod AB are flattened to make pin connections at A and B. A vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with a modulus equal to 207 GPa and a yield strength of 220 MPa. (a) Using a factor of safety of 2.5, determine the diameter of the rod AB. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The tensile yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5. **Diagram Explanation:** The diagram illustrates a structural setup with the following features: - **Point A**: Situated at the lower left and connected to the ground, forming a 50° angle with the inclined rod AB. - **Point B**: Located at the top end of the inclined rod AB, connecting to the horizontal beam BC. - **Point C**: Positioned at the far right end of the horizontal beam BC, supported by a vertical wall. - **Rod AB**: Inclined, with a length of 3 meters and connected at an angle of 50° from the horizontal. - **Beam BC**: Horizontal, with a length of 5 meters, supporting a vertical load of 5,000 N at its midpoint. The setup includes the forces and structural constraints necessary to solve for the diameter of the rod AB and the pin diameter at B, given the specified material properties and safety factors.
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