Materials Science and Engineering Properties, SI Edition
1st Edition
ISBN: 9781305178175
Author: GILMORE, Charles
Publisher: Cengage Learning
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Chapter 1, Problem 5ETSQ
To determine
The maximum magnification of a typical light microscope.
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A 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…
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2
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
6
Chapter 1 Solutions
Materials Science and Engineering Properties, SI Edition
Ch. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - Alumina (A12O3) is a(n) _________ material.Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 9CQCh. 1 - Prob. 10CQ
Ch. 1 - Prob. 11CQCh. 1 - Prob. 12CQCh. 1 - Prob. 13CQCh. 1 - Prob. 14CQCh. 1 - Prob. 15CQCh. 1 - Prob. 16CQCh. 1 - Prob. 17CQCh. 1 - Prob. 18CQCh. 1 - Prob. 19CQCh. 1 - In the process of vulcanization the LCMs in latex...Ch. 1 - Prob. 21CQCh. 1 - Prob. 22CQCh. 1 - Prob. 23CQCh. 1 - Prob. 24CQCh. 1 - Prob. 25CQCh. 1 - Prob. 26CQCh. 1 - Prob. 27CQCh. 1 - Prob. 28CQCh. 1 - Prob. 29CQCh. 1 - Prob. 30CQCh. 1 - Prob. 31CQCh. 1 - Prob. 1ETSQCh. 1 - Prob. 2ETSQCh. 1 - Prob. 3ETSQCh. 1 - Prob. 4ETSQCh. 1 - Prob. 5ETSQCh. 1 - Prob. 6ETSQCh. 1 - Prob. 7ETSQCh. 1 - Prob. 8ETSQCh. 1 - Prob. 9ETSQCh. 1 - Prob. 10ETSQCh. 1 - Prob. 11ETSQCh. 1 - Prob. 12ETSQCh. 1 - Prob. 13ETSQCh. 1 - Prob. 14ETSQCh. 1 - Prob. 15ETSQCh. 1 - Prob. 16ETSQCh. 1 - Prob. 17ETSQCh. 1 - Prob. 1DRQ
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- Refer 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_forwardRefer 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_forward
- Two 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_forwardA 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_forward
- Refer 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_forwardRefer to the figure below. A strip load of q = 870 lb/ft² is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft. Use the table below. B q = Load per unit area Aσ A Table 1 Variation of Ao/go with 2z/B and 2x/B 2x/B 2z/B 1.3 1.4 1.5 1.6 0.00 0.000 0.000 0.000 1.7 0.000 0.000 0.10 0.007 0.003 0.002 0.001 0.001 0.20 0.040 0.020 0.011 0.30 0.090 0.052 0.031 0.40 0.141 0.090 0.059 0.040 0.027 0.50 0.185 0.128 0.089 0.063 0.60 0.222 0.163 0.120 0.088 0.70 0.250 0.193 0.80 0.273 0.218 0.007 0.004 0.020 0.013 0.046 0.066 0.148 0.113 0.087 0.173 0.137 0.108 0.90 0.291 0.239 0.195 0.158 0.128 1.00 0.305 0.256 0.214 0.177 0.147 (Enter your answer to three significant figures.) lb/ft² Δοχ =arrow_forwardSend me the solution to the following question based on the source and I do not want the solution from artificial intelligencearrow_forward
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