230_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

230_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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C ONSERVATION OF ENERGY P. E . ± potential energy of raised bar AD (Eq. 2) For the cord: Substitute into Eq. (2) and rearrange: (Eq. 3) s max 2 ² W A s max ² 2 WhE bA ± 0 d max ± s max b E P . E . ± U W a h + d max 2 b ± EA d max 2 2 b U ± strain energy of stretched cord ± EA d 2 max 2 b ± W a h + d max 2 b 224 CHAPTER 2 Axially Loaded Members Stress Concentrations The problems for Section 2.10 are to be solved by considering the stress-concentration factors and assuming linearly elastic behavior . Problem 2.10-1 The flat bars shown in parts (a) and (b) of the figure are subjected to tensile forces P ± 3.0 k. Each bar has thickness t ± 0.25 in. (a) For the bar with a circular hole, determine the maximum stresses for
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Unformatted text preview: hole diameters d 1 in. and d 2 in. if the width b 6.0 in. (b) For the stepped bar with shoulder fillets, determine the maximum stresses for fillet radii R 0.25 in. and R 0.5 in. if the bar widths are b 4.0 in. and c 2.5 in. Substitute from Eq. (1) into Eq. (3): (Eq. 4) S OLVE FOR max : S UBSTITUTE NUMERICAL VALUES : max 33.3 MPa ; ; s max W 2 A c 1 + A 1 + 8 L 2 EA W ( b 2 + L 2 ) d s max 2 W A s max 2 WL 2 E A ( b 2 + L 2 ) 0 P P P P b d b (a) (b) c R Probs. 2.10-1 and 2.10-2 Sec_2.8-2.12.qxd 9/25/08 11:44 AM Page 224...
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