According to the elastic theory, the vertical stress induced by a point load of magnitude Q [kN] on the surface of a semi-infinite soil mass can be estimated by the expression: 0.477 QN Ap = z2 where: 1 N = 212.5 [1+ () r = horizontal distance of the point from the load z = depth of the point at which stress is induced A point load Q = 1500 kN is applied at the ground surface. a) Evaluate the stress in the soil caused by the point load at a depth of 2.5 m directly below the load b) Evaluate the stress in the soil caused by the point load at a depth of 5 m directly below the load c) Evaluate the stress at a depth of 2.5 m and a horizontal distance of 3 m from the point load

According to the elastic theory, the vertical stress induced by a point load of magnitude Q [kN] on the surface of a semi-infinite soil mass can be estimated by the expression: 0.477 QN Ap = z2 where: 1 N = 212.5 [1+ () r = horizontal distance of the point from the load z = depth of the point at which stress is induced A point load Q = 1500 kN is applied at the ground surface. a) Evaluate the stress in the soil caused by the point load at a depth of 2.5 m directly below the load b) Evaluate the stress in the soil caused by the point load at a depth of 5 m directly below the load c) Evaluate the stress at a depth of 2.5 m and a horizontal distance of 3 m from the point load

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Pls fast hand written solution
A beam with varying load is shown at the figure below. If the beam properties are given, what is the final stress at bottom of the beam at midspan where total losses of the prestressing force is 27% (MPa) Properties: Beam width = 290 mm Beam height = 463 mm Varying load = 19.6 kN/m Span of the beam 10 m Prestressing force = 481 kN %3D eccentricity = 126 mm Wo (kN/m)
ELABORATE Try solving the following problem: Practice Problem: Refer to Figure 3.8. Determine the vertical stress increaseÃO₂, at point A with the following values: q = 750 lb/ft; x = 8 ft; z = 3 ft. !! Line load = q x
For the figure shown, if the tensile force in member AB is 38 kN and the allowable stress is 120 MPa, then the ....... area of member BC is AV 256.7 mm^2 O 457.1 mm^2 O 316.66 mm^2 O 304.7 mm^2 419.5 mm^2 O W
Question: In the system shown in the figure, calculate the stress values at points A, B and C under the given loading effect. Choose one of these three points and find the principal stresses and the maximum shear stress that will occur at that point using Mohr's Circle. 100kN 200 mm 500 KN 200 mm - 75 mm 50 rom
2. The bar shown below is subjected to a tensile load of 160 kN. If the stress in the middle portion is limited to 150 N/mm, determine the diameter of the middle portion. Also find the length of the middle portion if the total elongation of the bar is to be 0.2 mm. Young's modulus is given as equal to 2.1 x 10³ N/mm². 150 kN 6 cm DIA 40 cm 6 cm DIA 160 kN
R2
A simply supported beam is carrying a varying load and a uniform load as shown in the figure. If the beam properties are given below, what is the final stress at top of the beam section at a distance 2.57m from the right support where the total losses of the prestressing force is 21% (MPa) Properties: Beam width = 293 mm Beam height = 382 mm %3D Varying load = 8.98 kN/m Uniform load = 5.11 kN/m x 3.35 mm y = 7.05 mm Prestressing force = 438 kN eccentricity = 134 mm VL (kN/m) UL (kN/m)
Limiting states 1. The MC describes the state of stress of our point in the field. That is, the MC shows us the values of the two principal stresses and the value of the maximum shear stress that the point is sustaining in the field. Consider a point in a geostatic soil mass. For our point, o'vo = 100 kPa and o'ho = 40 kPa. Take a sheet of paper and draw the Mohr Circle for this point carefully. 2. Now, we know that o'ho is a principal stress because t = 0 on the vertical plane (in the field). Similarly, o'vo is a principal stress because t = 0 on the horizontal plane (in the field). What is the value of t on the plane inclined 45 degrees clockwise from the horizontal? Go ahead and use your drawn MC to find this value. The value should be t = 30 kPa. 3. Note that the value found (t = 30 kPa) is the maximum shear stress that the point is supporting in the field, as it is under o'v = 100 kPa and o'h = 40 kPa. Consider now a situation in which o'h remains at 40 kPa, but o'y grows to 120…
Q1/ For the element shown in figure 1 below, determine using Mohr's circle: 1. Shearing and normal stresses on the plane whose normal are at 60° with the x-axis 2. The principle stresses and their orientation (angles) 3. The maximum shearing stresses, their associated stresses and their orientations (angles). 20 MPa 10 MPa Figure 1. 20 MPa 10 MPa
Show step by step solutions
The body diagram in the figure below is subject to biaxial loading, with stress components given by oxx = 12 kPa, ayy = 20 kPa, and txy = 8 kPa. 12 O 30° 20 on 20 B 12 a. Construct the circle diagram representing this state of stress. Determine, from the diagram, the magnitudes of the principal stresses and the inclination of the major principal stress axis relative to the x reference direction. Determine from the diagram, the normal and shear stress components on and t on the plane EF oriented as shown. b. Determine analytically the magnitudes and orientations of the plane principal stresses and compare them with the values determined graphically in (a) above.