NEW 375 Lecture03 - REVISIT ACTIONS ON A CROSS-SECTION OF...

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Unformatted text preview: REVISIT ACTIONS ON A CROSS-SECTION OF AN AXIALLY LOADED MEMBER A Normal Stress X Differential Normal Force Differential Area of cross-section x dA = dF dF = ACTION ON DIFFERENTIAL AREA OF CROSS-SECTION STRESS DIFFERENTIAL FORCE ACTIONS ON TOTAL CROSS-SECTION STRESSES DIFFERENTIAL FORCES dF dA = STRESSES FORCES dF dA = VOLUME of STRESS WEDGE = Stress Wedge A = P =RESULTANT FORCE Resultant Force P P dF P dA P A = = = c.g. Uniform Stress FOR AN AXIAL FORCE ACTING THROUGH THE CENTROID OF THE CROSS-SECTION: = P A allow abl e Material Property Constant: See Table of Typical Properties of Selected Engineering Materials allow abl e FOR AN AXIAL FORCE ACTING THROUGH THE CENTROID OF THE CROSS-SECTION: No. 1 Investigation Problem: Given: P, A, and allowable [ material dependent - see table ] Ques: Can the given member safely resist the applied load? Solution: if = P/A allow SAFE if = P/A > allow NOT SAFE = P A allow abl e Material Property Constant: See Table of Typical Properties of Selected Engineering Materials allow abl e FOR AN AXIAL FORCE ACTING THROUGH THE CENTROID OF THE CROSS-SECTION: No. 2 Investigation Problem: Given: A, and allowable Ques: What is the maximum axial force P all the member can safely resist ? Solution: P all = A allow = P A allowa ble FOR AN AXIAL FORCE ACTING THROUGH THE CENTROID OF THE CROSS-SECTION: No.3 Design Problem: Given: P, and allowable Ques: What is the magnitude of the minimum required cross-sectional area, A reqd , for a member to safely resist the force on the cross-section? reqd No. 2 Investigation Problem: Given: A, and allowable Ques: What is the maximum axial force P all the member can safely resist ?...
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This note was uploaded on 03/27/2008 for the course ENGIN 375 taught by Professor Miller during the Spring '08 term at University of Cincinnati.

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NEW 375 Lecture03 - REVISIT ACTIONS ON A CROSS-SECTION OF...

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