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The screw in the illustration is subjected to a 10kN force represented by the red arrows. If the screw passes through a 40-mm diameter hole, determine the minimum required diameter of the screw body and the minimum screw head thickness needed to the screw to support the 20-kN load. The allowable normal stress for the screw is Oallow = 70(10^6) pa, and the allowable shear stress for the screw head is Tallow = 30(10^6) Pa.

The screw in the illustration is subjected to a 10kN force represented by the red arrows. If the screw passes through a 40-mm diameter hole, determine the minimum required diameter of the screw body and the minimum screw head thickness needed to the screw to support the 20-kN load. The allowable normal stress for the screw is Oallow = 70(10^6) pa, and the allowable shear stress for the screw head is Tallow = 30(10^6) Pa.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The screw in the illustration is subjected to a 10kN force represented by the red arrows. If the screw passes through a 40-mm diameter hole, determine the minimum required diameter of the screw body and the minimum screw head thickness needed to the screw to support the 20-kN load. The allowable normal stress for the screw is Projected Screw Head Diameter = 40mm %3D Oallow = 70(10^6) pa, and the allowable shear stress for the screw head is Tallow = 30(10^6) Pa. Screw 18k Diameter 10kN 10kN 11111
Transcribed Image Text:The screw in the illustration is subjected to a 10kN force represented by the red arrows. If the screw passes through a 40-mm diameter hole, determine the minimum required diameter of the screw body and the minimum screw head thickness needed to the screw to support the 20-kN load. The allowable normal stress for the screw is Projected Screw Head Diameter = 40mm %3D Oallow = 70(10^6) pa, and the allowable shear stress for the screw head is Tallow = 30(10^6) Pa. Screw 18k Diameter 10kN 10kN 11111
Expert Solution
Step 1

Considering normal stress:σallow=PA70mpa=20×1000Nπ4d2d=19.07mm≈20mm

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