NEW 375 Lecture06 - EXAMPLE: DEFORMATION OF A STEEL BAR...

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EXAMPLE: DEFORMATION OF A STEEL BAR UNDER AXIAL LOADING External forces applied at centroids of elements
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APPLY FORCES TO A STEEL BAR, WHICH IS FIXED ON ONE END. THE BAR IS COMPOSED OF THREE SECTIONS WITH DIFFERENT CROSS-SECTIONAL AREAS AND DIFFERENT LENGTHS .
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OBTAIN REACTIVE FORCES AT SUPPORT WITH EQUILIBRIUM CONDITION .
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Determine P AB , the internal force on cross-section between A and B P AB = 40k (tensile )
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Determine P BC , the internal force on cross-section between B and C (compressive ) P BC = 60k
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Determine P CD , the internal force on cross-section between C and D P CD = 20k (tensile)
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FORCES AT EACH SEGMENT P AB =40k P BC =60 k P BC =60k P CD =20 k P CD =20k
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DRAW AXIAL FORCE DIAGRAM 0 T C T
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DETERMINE DEFORMATION OF EACH SECTION F BC =60k F BC =60k F CD =20 k (elongates) (compresses) (elongates) Elongation (+) CD BC AB AD δ + - + = TOTAL DEFORMATION H = A 40k A F = B AB 40k
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TOTAL DEFORMATION OF THE BAR AB AD CD BC AB AD AE PL - + = + - + = δ in AD 032 . 0
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NEW 375 Lecture06 - EXAMPLE: DEFORMATION OF A STEEL BAR...

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