Updated Engineering Analysis and Design for Detector Support

Updated Engineering Analysis and Design for Detector Support Structure Jackson Waters Tuesday Meeting July 24 th, 2018

Updated Engineering Drawing Figure 1 below gives a diagram of the detector setup with the support structure implemented Figure 1: MI-40 Beam Test Design Diagram 2 7/24/18 J. Waters | Tuesday RF Detector Meeting

Plate Stress and Deflection Diagram Figure 2 displays the diagram of the attachment plate used in the support structure with a concentrated load at the center causing it to bend/deflect Figure 2: Plate Diagram for Stress and Deflection Analysis 3 7/24/18 J. Waters | Tuesday RF Detector Meeting

Plate Stress and Deflection Analysis 4 7/24/18 J. Waters | Tuesday RF Detector Meeting

More Plate Stress and Deflection Calculations 5 1/11/2022 J. Waters | Tuesday RF Detector Meeting

Plate Stress and Deflection Calculations (ctd. . ) 6 1/11/2022 J. Waters | Tuesday RF Detector Meeting

Stress Analysis on RF Cavity Detector Need to ensure that the cavity can handle 2 atm (30 psi) of pressure from the gas inside. – This was based on a previous analysis done on a cylindrical test vessel. – This analysis was used to calculate: • Minimum required thickness of the cylindrical shell • Minimum required thickness of flat unstayed circular heads • Plug Shear Stress – Equations from the previous analysis are used with modifications made for the new cavity. 7 7/24/18 J. Waters | Tuesday RF Detector Meeting

Stress Analysis Calculations • 8 1/11/2022 J. Waters | Tuesday RF Detector Meeting

Stress Analysis Calculations • 9 1/11/2022 J. Waters | Tuesday RF Detector Meeting

Stress Analysis Calculations • 10 1/11/2022 J. Waters | Tuesday RF Detector Meeting

Conclusion • Engineering of Support Structure: – The detector will fit in the allotted area – Solid Al 6061 -T 6 attachment plate can be used with the detector • Stress Analysis: – RF Cavity detector meets minimum requirements for handling 2 atm (30 psi) of pressure 11 1/11/2022 J. Waters | Tuesday RF Detector Meeting

References 1 Beardmore, R. Loaded Flat Plates. Retrieved from http: //www. roymech. co. uk/Useful_Tables/Mechanics/Plates. html 2 Beam Deflection Formulae. Retrieved from http: //ruina. mae. cornell. edu/Courses/ME 47352012/Rand 4770 Vibrations/Beam. Formulas. pdf 3 Yonehara, K. Stress Analysis of High-Pressure Test Vessel (Draft v 1. 4). 12 1/11/2022 J. Waters | Tuesday RF Detector Meeting