Two metal bars are fastened together at the bolted flange connection shown. There are 2 total bolts connecting the two metal bars together and each bolt has diameter dbolt 0 12.7 mm. The flange is oriented at angle = 50° with respect to longitudinal axis of the metal bars. If an axial force F = 30 kN is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of 1020HR steel and the strength of the bolt in shear is 50% of the tensile strength of the bolt material. -

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Transcription for Educational Website:**

**Title:** Calculating the Safety Factor of a Bolted Flange Connection

**Description:**
Two metal bars are fastened together at the bolted flange connection shown. There are **2 total bolts** connecting the two metal bars, and each bolt has a diameter of \( d_{\text{bolt}} = 12.7 \, \text{mm} \). The flange is oriented at an angle \( \theta = 50^\circ \) with respect to the longitudinal axis of the metal bars.

If an axial force \( F = 30 \, \text{kN} \) is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of **1020HR steel** and the strength of the bolt in shear is 50% of the tensile strength of the bolt material.

**Diagram Explanation:**
The diagram showcases two metal bars joined by bolts at an angle. The bars are subjected to an axial force \( F \), directed horizontally away from each other. The bolts are installed at a \( 50^\circ \) angle relative to the axis of the metal bars, indicating the direction of the applied shear force.

**Equation:**
\[ SF_{\text{overall}} = \text{number (rtol=0.01, atol=1e-4)} \]

This setup allows students to calculate the overall safety factor considering the given parameters and conditions.
Transcribed Image Text:**Transcription for Educational Website:** **Title:** Calculating the Safety Factor of a Bolted Flange Connection **Description:** Two metal bars are fastened together at the bolted flange connection shown. There are **2 total bolts** connecting the two metal bars, and each bolt has a diameter of \( d_{\text{bolt}} = 12.7 \, \text{mm} \). The flange is oriented at an angle \( \theta = 50^\circ \) with respect to the longitudinal axis of the metal bars. If an axial force \( F = 30 \, \text{kN} \) is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of **1020HR steel** and the strength of the bolt in shear is 50% of the tensile strength of the bolt material. **Diagram Explanation:** The diagram showcases two metal bars joined by bolts at an angle. The bars are subjected to an axial force \( F \), directed horizontally away from each other. The bolts are installed at a \( 50^\circ \) angle relative to the axis of the metal bars, indicating the direction of the applied shear force. **Equation:** \[ SF_{\text{overall}} = \text{number (rtol=0.01, atol=1e-4)} \] This setup allows students to calculate the overall safety factor considering the given parameters and conditions.
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