18_ch 08 Mechanical Design budynas_SM_ch08

18_ch 08 Mechanical Design budynas_SM_ch08 -...

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Chapter 8 221 Frustum 1: Top, E = 207, t = 20 mm, d = 10 mm, D = 15 mm k 1 = 0 . 5774 π (207)(10) ln ±² 1 . 155(20) + 15 10 1 . 155(20) + 15 + 10 ³´ 15 + 10 15 10 µ¶ = 3503 MN/m Frustum 2: Middle, E = 96 GPa, D = 38 . 09 mm, t = 2 . 5mm, d = 10 mm k 2 = 0 . 5774 π (96)(10) ln ±² 1 . 155(2 . 5) + 38 . 09 10 1 . 155(2 . 5) + 38 . 09 + 10 ³´ 38 . 09 + 10 38 . 09 10 µ¶ = 44 044 MN/m could be neglected due to its small influence on k m . Frustum 3: Bottom, E = 96 GPa, t = 22 . 5mm, d = 10 mm, D = 15 mm k 3 = 0 . 5774 π (96)(10) ln ±² 1 . 155(22 . 5) + 15 10 1 . 155(22 . 5) + 15 + 10 ³´ 15 + 10 15 10 µ¶ = 1567 MN/m k m = 1 (1 / 3503) + (1 / 44 044) + (1 / 1567) = 1057 MN/m C = 332 . 4 332 . 4 + 1057 = 0 . 239 F i = 0 . 75 A t S p = 0 . 75(58)(830)(10 3 ) = 36 . 1kN Table 8-17:
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