Three SAE class 9.8 steel bolts of size M18x2 are used to attach a bracket to...

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Three SAE class 9.8 steel bolts of size M18x2 are used to attach a bracket to a rigid column as shown below. Bracket supports a vertical load of 24 kN applied eccentrically as shown in the two sketches. The proof stress and yield strength of the bolt material are 650 MPa and 720 MPa respectively. The column can be assumed to be rigid. The load tends to rotate the bracket about an axis through point A (see figure on bottom left). This axis is perpendicular to the plane of the paper. Assume that there is no pre-load on the bolt. All dimensions are in mm. A 500 100 400 24 kN 150 150 150 E (Two different views of the bolted joint) 24 KN [a]. Which bolt is most likely to fail and why? It is suggested that you choose top left bolt (referring to the figure on the right) as origin for the centroid calculation, if needed. [b]. Determine the factor of safety for this critical bolt. [c]. If a factor of safety of 10 is desired, determine an appropriate bolt size. Three SAE class 9.8 steel bolts of size M18x2 are used to attach a bracket to a rigid column as shown below. Bracket supports a vertical load of 24 kN applied eccentrically as shown in the two sketches. The proof stress and yield strength of the bolt material are 650 MPa and 720 MPa respectively. The column can be assumed to be rigid. The load tends to rotate the bracket about an axis through point A (see figure on bottom left). This axis is perpendicular to the plane of the paper. Assume that there is no pre-load on the bolt. All dimensions are in mm. A 500 100 400 24 kN 150 150 150 E (Two different views of the bolted joint) 24 KN [a]. Which bolt is most likely to fail and why? It is suggested that you choose top left bolt (referring to the figure on the right) as origin for the centroid calculation, if needed. [b]. Determine the factor of safety for this critical bolt. [c]. If a factor of safety of 10 is desired, determine an appropriate bolt size.