NEW 375 Lecture17 - Example – Stress Wedges The beam...

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Unformatted text preview: Example – Stress Wedges The beam shown below on the right is composed of two 2 × 10-in. timbers securely fastened together to form a symmetrical T-section with the flange top on the top. If the beam is subjected to a positive moment of 5400 lb-ft, calculate the maximum fiber stress. First, use the basic principles based on stress wedges. Second, verify the values based on the flexural equation. 10” 2” 10” 2” Example – Cont. [ ] top the from A y A y i i i " 4 ) 10 2 ( ) 2 10 ( ) 2 / 10 2 ( 10 2 ) 2 / 2 2 10 ( = × + × + × × + × × = = ∑ ∑-- Calculate the location of N.A. 10” 2” 10” 2” y _ 12-y _ N.A. Example – Cont. Calculate I about N.A. 10” 2” 10” 2” 4” 8” N.A. [ ] [ ] [ ] 4 2 3 2 3 2 33 . 533 4 ) 2 5 ( ) 10 )( 2 ( ) 10 )( 2 ( 12 1 ) 1 4 )( 2 )( 10 ( ) 2 )( 10 ( 12 1 in Ad I I =- + + +- + = + = ∑- Example – Cont. N. A. Stress Wedges Example – Cont. The stress at the top is related to the stress at the bottom ( σ c ) 10” 2” 10” 2” 4” 8” N.A....
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NEW 375 Lecture17 - Example – Stress Wedges The beam...

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