2.2 A 100-psi pressure is applied through a circular area 12 in. in diameter on a granular half. space, as shown in Figure P2.2. The half-space has mass unit weight its 110 pcf, coefficient of earth pressure at rest is 0.6, its Poisson ratio is 0.35, and its elastic modulus varies with the sum of normal stresses according to the equation shown in the figure. Assuming that the Boussinesq stress distribution is valid and that the stresses at a point 12 in. below the center of the loaded area are used to compute the elastic modulus, determine the maxi- mum surface displacement. [Answer: 0.054 in.] 12 in. 100 psi Wo ? y 110 pcf Ko - 0.6 12 in. V- 0.35 0.55 E 30000 FIGURE P2.2
2.2 A 100-psi pressure is applied through a circular area 12 in. in diameter on a granular half. space, as shown in Figure P2.2. The half-space has mass unit weight its 110 pcf, coefficient of earth pressure at rest is 0.6, its Poisson ratio is 0.35, and its elastic modulus varies with the sum of normal stresses according to the equation shown in the figure. Assuming that the Boussinesq stress distribution is valid and that the stresses at a point 12 in. below the center of the loaded area are used to compute the elastic modulus, determine the maxi- mum surface displacement. [Answer: 0.054 in.] 12 in. 100 psi Wo ? y 110 pcf Ko - 0.6 12 in. V- 0.35 0.55 E 30000 FIGURE P2.2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![O1, 02, 03, = ?
E1, 82, E3, = ?
FIGURE P2.1
2.2 A 100-psi pressure is applied through a circular area 12 in. in diameter on a granular half-
space, as shown in Figure P2.2. The half-space has mass unit weight its 110 pcf, coefficient
of earth pressure at rest is 0.6, its Poisson ratio is 0.35, and its elastic modulus varies with
the sum of normal stresses according to the equation shown in the figure. Assuming that
the Boussinesq stress distribution is valid and that the stresses at a point 12 in. below the
center of the loaded area are used to compute the elastic modulus, determine the maxi-
mum surface displacement. [Answer: 0.054 in.]
12 in.
100 psi
| Wo = ?
y 110 pcf
Ko 0.6
12 in.
V- 0.35
0.55
E 30000
FIGURE P2.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10ee1336-a26a-4ad2-a930-485f1691961d%2F9c81c684-2435-46db-a885-5ae1f62410af%2Fkjxvmrc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O1, 02, 03, = ?
E1, 82, E3, = ?
FIGURE P2.1
2.2 A 100-psi pressure is applied through a circular area 12 in. in diameter on a granular half-
space, as shown in Figure P2.2. The half-space has mass unit weight its 110 pcf, coefficient
of earth pressure at rest is 0.6, its Poisson ratio is 0.35, and its elastic modulus varies with
the sum of normal stresses according to the equation shown in the figure. Assuming that
the Boussinesq stress distribution is valid and that the stresses at a point 12 in. below the
center of the loaded area are used to compute the elastic modulus, determine the maxi-
mum surface displacement. [Answer: 0.054 in.]
12 in.
100 psi
| Wo = ?
y 110 pcf
Ko 0.6
12 in.
V- 0.35
0.55
E 30000
FIGURE P2.2
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