Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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Chapter 5, Problem 11P
The measured decay rates of a radioactive material as a function of time are shown in the table below.
- (a) Calculate the half-life of the decay.
- (b) Show that a semilogarithmic plot of the decay rate as a function of time is linear.
- (c) Derive an analytical form of the linear relationship for part (b).
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Chapter 5 Solutions
Sustainable Energy
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- ضهقعفكضكشتبتلتيزذظظؤوروىووؤءظكصحبت٢٨٩٤٨٤ع٣خ٩@@@#&#)@)arrow_forwardضهقعفكضكشتبتلتيزذظظؤوروىووؤءظكصحبت٢٨٩٤٨٤ع٣خ٩@@@#&#)@)arrow_forwardA square flexible foundation of width B applies a uniform pressure go to the underlying ground. (a) Determine the vertical stress increase at a depth of 0.5B below the center using Aσ beneath the corner of a uniform rectangular load given by Aσ Variation of Influence Value I m n 0.5 0.6 0.8 1.0 0.2 0.4 0.2 0.01790 0.03280 0.03866 0.04348 0.05042 0.05471 0.4 0.03280 0.06024 0.07111 0.08009 0.09314 0.10129 0.5 0.03866 0.07111 0.08403 0.09473 0.11035 0.12018 0.6 0.04348 0.08009 0.09473 0.10688 0.12474 0.13605 0.8 0.05042 0.09314 0.11035 0.12474 0.14607 0.15978 1.0 0.05471 0.10129 0.12018 0.13605 0.15978 0.17522 (Enter your answer to three significant figures.) Ασ/90 = Activity Frame (b) Determine the vertical stress increase at a depth of 0.5B below the center using the 2 : 1 method equation below. 90 x B x L Aσ = (B+ z) (L+ z) (Enter your answer to three significant figures.) Δσ/90 = (c) Determine the vertical stress increase at a depth of 0.5B below the center using stress isobars in…arrow_forward
- Need help!!!arrow_forward2 A flexible circular area is subjected to a uniformly distributed load of 450 kN/m² (the figure below). The diameter of the load area is 2 m. Estimate the average stress increase (Aσay) below the center of the loaded area between depths of 3 m and 6 m. H₂ 1.0 H₂ B 0.8 CHI HD DV 0.6 C 1.0 1.5 0.4 0.2 6.0 8.0. 10.0 2.0 2.5 3.0 4.0 5.0 H₁ (Enter your answer to two significant figures.) Δσαν τ kN/m² 6arrow_forwardRefer to the figure below. Using the procedure outlined in your textbook, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 45 tons. Use the equations: Aσ = and qo x B x L (B+ z)(L+ z) Aσ av (H2/H₁) Δσι +44 + Δσο net load 6 4:5 ft 10 ft 5ft x 5ft Sand Sand y=100 lb/ft³ Ysat 122 lb/ft³:" Ysat 120 lb/ft³: 0.7 C=0.25 Groundwater table C=0.06 Preconsolidation pressure = 2000 lb/ft² (Enter your answer to three significant figures.) Ασαν = lb/ft²arrow_forward
- Refer to the figure below, which shows a flexible rectangular area. Given: B₁ = 4 ft, B₂ = 6 ft, L₁ = 8 ft, and L2 = 10 ft. If the area is subjected to a uniform load of 4100 lb/ft², determine the stress increase at a depth of 10 ft located immediately below point O. Use the table below. T B(1) 3 B(2) 2 L(1) * 4 L2) Table 1 Variation of Influence Value I n m 0.8 0.9 1.0 1.2 1.4 0.1 0.02576 0.02698 0.02794 0.02926 0.03007 0.2 0.05042 0.05283 0.05471 0.05733 0.05894 0.3 0.07308 0.07661 0.07938 0.08323 0.08561 0.4 0.09314 0.09770 0.10129 0.10631 0.10941 0.5 0.11035 0.11584 0.12018 0.12626 0.13003 0.6 0.12474 0.13105 0.13605 0.14309 0.14749 0.7 0.13653 0.14356 0.14914 0.15703 0.16199 0.8 0.14607 0.15371 0.15978 0.16843 0.17389 0.9 0.15371 0.16185 0.16835 0.1766 0.18357 1.0 0.15978 0.16835 0.17522 0.18508 0.19139 1.1 0.16843 0.17766 0.18508 0.19584 0.20278 (Enter your answer to three significant figures.) Aσ = lb/ft²arrow_forwardPoint loads of magnitude 100, 200, and 380 kN act at B, C, and D, respectively (in the figure below). Determine the increase in vertical stress at a depth of 6 m below point A. Use Boussinesq's equation. B 6 m A 6 m с 3 m D (Enter your answer to three significant figures.) Δαχτ kN/m²arrow_forwardTwo line loads q₁ = 30 kN/m and 92 = 44 kN/m of infinite lengths are acting on top of an elastic medium, as shown in the figure below. Find the vertical stress increase at A. 92 91 6 m 3 m 3 m Δσ A (Enter your answer to three significant figures.) Vertical stress increase at A = kN/m²arrow_forward
- A flexible circular area is subjected to a uniformly distributed load of 144 kN/m² (see the figure below). The diameter of the load area is 2 m. Estimate the average stress increase (Aσay) below the center of the loaded area between depths of 3 m and 6 m. Use the equations: 1 Ασ = go 1 [1 + (2) ² ³/2 and Aσ av (H2/H1) Δσι + 41ση + Ασο 6 9 B/2 krark do Δε Aσ (Enter your answer to three significant figures.) Ασαν = kN/m²arrow_forwardIn construction what is the difference in general requirements specific project requirements?arrow_forwardRefer to the figure below. Determine the vertical stress increase Aσ at point A with the values q₁ = 90 kN/m, q2 = 410 kN/m, x₁ = 4m, x2 = 2.5 m, and z = 3 m. Line load = 91 Line load=92 Δε (Enter your answer to three significant figures.) Δατ kN/m²arrow_forward
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