Derive the following equation using Figure 1 where e is the void ratio, S, is the degree of saturation, w is the water content and G, is the specific gravity of soil particle. Draw Figure 1 on the answer sheet, then explain the derivation. Answer only the formula will not be graded. es, = wG, volume mass Air Water Solid m, (Soil particles) Figure 1

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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(Question 1]
(1) Derive the following equation using Figure 1 where e is the void ratio, S, is the degree of saturation, w is
the water content and G, is the specific gravity of soil particle. Draw Figure 1 on the answer sheet, then
explain the derivation. Answer only the formula will not be graded.
es, = wG,
volume
mass
Air
Water
Solid
(Soil particles)
Figure 1
Transcribed Image Text:(Question 1] (1) Derive the following equation using Figure 1 where e is the void ratio, S, is the degree of saturation, w is the water content and G, is the specific gravity of soil particle. Draw Figure 1 on the answer sheet, then explain the derivation. Answer only the formula will not be graded. es, = wG, volume mass Air Water Solid (Soil particles) Figure 1
(2) Answer the following questions regarding the sandy ground in Figure 2. The depth z of ground water table
is z1. The bulk unit weight above the ground water table is y.- The saturated unit weight below the ground
water table is Ysat- The unit weight of water is Yw-
Depth z
Unsaturated
Z1
Saturated
Figure 2
(a) Draw the distributions of vertical total stress, pore water pressure and vertical effective stress along the depth.
Set 0~22 as the vertical axis. Show the algebraic expressions at the depth of 0, z1, z2, using the given symbols.
(b) The soil above the ground water table is unsaturated. Generally, suction (negative pore water pressure) exists
under unsaturated conditions. Explain the reason.
(c) Generally, suction is not considered in (a). Explain the possible reasons.
(3) Regarding the well graded soil (with small coefficient of uniformity) and the poorly graded soil (with large
coefficient of uniformity), draw the schematic particle size distribution curves and the schematic compaction
curves, respectively. Show labels of both vertical and horizontal axes in the schematic drawings.
Transcribed Image Text:(2) Answer the following questions regarding the sandy ground in Figure 2. The depth z of ground water table is z1. The bulk unit weight above the ground water table is y.- The saturated unit weight below the ground water table is Ysat- The unit weight of water is Yw- Depth z Unsaturated Z1 Saturated Figure 2 (a) Draw the distributions of vertical total stress, pore water pressure and vertical effective stress along the depth. Set 0~22 as the vertical axis. Show the algebraic expressions at the depth of 0, z1, z2, using the given symbols. (b) The soil above the ground water table is unsaturated. Generally, suction (negative pore water pressure) exists under unsaturated conditions. Explain the reason. (c) Generally, suction is not considered in (a). Explain the possible reasons. (3) Regarding the well graded soil (with small coefficient of uniformity) and the poorly graded soil (with large coefficient of uniformity), draw the schematic particle size distribution curves and the schematic compaction curves, respectively. Show labels of both vertical and horizontal axes in the schematic drawings.
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