A soil element is shown below. Determine the following, Maximum Principal Stress in kPa. a. 108.8 b. 181.2 c. 120.4 d. 145.0 Normal stress on plane AB in kPa. a. 159.26 b. 133.33 C. 180.96 d. 147.67 Shear stress on plane AB in kPa. a. -12.13 + A 128 kN/m² 55° 32 kN/m² B 32 kN/m² 162 kN/m²

A soil element is shown below. Determine the following, Maximum Principal Stress in kPa. a. 108.8 b. 181.2 c. 120.4 d. 145.0 Normal stress on plane AB in kPa. a. 159.26 b. 133.33 C. 180.96 d. 147.67 Shear stress on plane AB in kPa. a. -12.13 + A 128 kN/m² 55° 32 kN/m² B 32 kN/m² 162 kN/m²

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter10: Stresses In A Soil Mass

Section: Chapter Questions

Problem 10.13P: Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m, and z = 4 m. In this case, point A is located below...

See similar textbooks

Related questions

Q: Determine the angle of twist of end A with respect to C. Take G = 75 GPa

A: Answer We can use Torsion equation to calculate the Angle of twist at A relative to C From Torsion…

Q: Determine the ultimate LL capacity (2015 NSCP strength design) of a T-beam which has a simple span…

Q: The permissible bending compressive strength for M 25 grade of concrete is 8.5 N/mm². Its short-term…

A: Given data in question Permissible bending stress Grade of concrete To find out Short and long…

Q: Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear…

Q: A solid circular cross - section shaft is clamped at both ends and loaded by a twisting moment t per…

A: Given values: Twisting moment = t / unit length Let reactive twisting moment at each end of the bar…

Q: A copper [E = 104 GPa, a = 16.7x10-6/°C] rod (2) is placed within a steel [E = 208 GPa, a =…

Q: b) A one metre deep cut is excavated across an entire 3.0 acre site. The average bulk density of…

Q: The truss supported by a pin at D and a roller at A, is subjected to the vertical load as shown.…

A: Given :

Q: The cross-sectional dimensions of a beam are shown. Assume b-2.5 in., t-tw-0.4375 in. and d=2.5 in.…

Q: Why is it necessary to measure the air content of concrete at the job site rather than at the batch…

A: Concrete:- Concrete is a mix composed of fine and coarse aggregate that is connected by a flowable…

Q: Calculate the y-coordinate of the centroid of the shaded area. 77 mm Answer: y = 3535 mm mm T 35 mm…

Q: Problem 6.110 The wood used for the box beam has an allowable bending stress of 6.7 MPa. (Figure 1)…

A: Given :

Q: The simple beam with a height of 200mm, a width of 100mm and a length of 4m is loaded as shown. Do…

A: As per guidelines we need to answer only first 3 subparts of questions so please repost rest…

Q: 1. The 6061-T6 aluminum shaft shown below is loaded axially. The output from a strain gage mounted…

Q: A subway train made of two cars is shown. It travels at a speed of 50kph. When the brakes are…

Q: A structure is to be built with concrete with a minimum dimension of 0.2 m, minimum space between…

A: Given:- The minimum dimension of the structure to be built = 0.2 m The minimum space between rebars…

Q: Using the composite area method, find the moment of inertia about the given centroidal x axis of the…

A: Given ;

Q: A copper [E = 98 GPa, a = 17.4x10-6/°C] rod (2) is placed within a steel [E = 196 GPa, a =…

Q: O cfs. The bottom of the channel is unstable and you hav onsultant to determine the size of the…

Q: Discuss the stability and determinacy of the structure. ㅏ

Q: Let a=4 ft, b=7 ft, c=2 ft and w-6.5 kips/ft. Construct the shear-force and bending-moment diagrams…

Q: Determine the ultimate LL capacity (2015 NSCP strength design) of a T-beam which has a simple span…

A: The values given in the question are as follows: Length of beam(L)=9.15 m Width of flange(bf)=71 cm…

Q: Q.1 Determine the reaction at supports and the force in AB, BC, and BD members of and indicate…

Q: Use the graphical method to construct the shear-force and bending-moment diagrams for the beam…

Q: The permissible bending compressive strength for M 25 grade of concrete is 8.5 N/mm². Its short-term…

A: Given: Bending compressive strength Grade of concrete To find: Short term and long term modular…

Q: 2. The rigid bar ABC shown in Figure 2 is hinged at A and supported by a steel rod at B. Determine…

Q: DIRECTION: Identify the following term. 1. It can be applied to a body as distributed or…

A: NOTE- Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: compute the reactions for the structures

Q: A 450mm x 550mm TIED column is reinforced with 12-20mm distributed evenly on the all sides. The…

A: Answer We are given width b = 450 mm Depth h = 550 mm As = 12-20 mm diameter bars cover = 70 mm…

Q: 50 cm long and of diam f the modulus of elastica ) the stress, ) the strain, and ) the elongation of…

Q: A Strip foundation under the wall of a factory building, upper axle load =180kN/m, the depth dis…

Q: Define the fineness modulus of aggregate. What is it used for?

A: Aggregate:- Aggregate is used in building construction. It is generally two types coarse and fine.…

Q: Question 1: Consider a 600 mm deep reinforced concrete cantilever beam supported by a 600 mm square…

A: Hi! Thank you for the question As per the honor code, We’ll answer the second question since the…

Q: ght, while at the same instant points on the outer rim of each drum have an accel m/s². If the board…

A: According to given data

Q: well has a diameter of 10 cm. Under steady state condition, what is the expected discharge (lps) if…

A: According to given data The average discharge in Lps is 7.01LPS (Liter per second)

Q: determine the deflection of the free end of the beam.

Q: Three pipes of different lengths and diameters are connected in series as shown. All pipes have f =…

Q: The hydraulic gradient for quicksand condition is equal to 1.13 with a void ratio of 0.50. The moist…

Q: A simple curve having a degree of curve of 4o has an angle of intersection of 50o. A line passing…

A: Formula used Length of curve = (2×3.14×R)×ø/360 R = Radius of curve…

Q: A vessel in the shape of an inverted right circular cone has a height of 3.5 m and an upper base of…

Q: Determine the maximum force P

Q: Problem 13.21 The 450-kg mine car is hoisted up the incline using the cable and motor M. For a short…

Q: Please answer completely. Box the final answers. Use the graphical method to construct the…

A: Given data

Q: Determine the capacity of the details shown below. A992: Fy=50ksi, Fu=65ksi A36: Fy=36ksi, Fu=58ksi…

A: Block Shear Rupture : The block shear failure causes due to high shear strength bolts or the use of…

Q: 8.5 Technology Adoption: During the adoption of a new technology a CEO (player 1) can design a new…

Q: Practical Part Q4). 1- State the meaning of normal consistency of cement. 2- Which method is widely…

Q: The beam shown below is subjected to a factored uniform load of 8 kips/ft. The concrete strength is…

A: Shear strength of the beam Shear strength refers to a material or component's resistance to a…

Q: 100 kN/m A 2m 2m 40 kN/m с 4m गी/D 120KN E 150 kN.m 2m

Q: Problem Determine the pump head required to pump water between the two tanks shown in the following…

A: Given values: Q = 5.6 * 10-3 m3/s Consider the figure given. z1 = 6 m z2 = 36.5 m L = 122 m , D = 5…

Q: The elevation of PT is at elevation 454.50m while the lowest point on the curve is located 40m from…

Concept explainers

Planar Stresses

Question

A soil element is shown below. Determine the following,
Maximum Principal Stress in kPa.
a. 108.8
b. 181.2
c. 120.4
d. 145.0
Normal stress on plane AB in kPa.
a. 159.26
b. 133.33
C. 180.96
d. 147.67
Shear stress on plane AB in kPa.
a. -12.13
b. -26.92
C. -24.26
d. -13.46
A
128 kN/m²
+
55°
32 kN/m²
B
32 kN/m²
+
162 kN/m²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

5-4 For the given soil profile and the piezometric surfaces measured at the top of the two sand and gravel layers, determine the pore pressure and effective stress at points A, B, C, D, and E. Piezometers 2 m Ground surface 2 m Sand y = 18 kN/m3 Water table y_ 11m Y = 20 kN/m3 A 4 m Clay Y = 18 kN/m3 加。B 1Im 5 m Sand and gravel y = 22 kN/m3 2 m •D 5 m Clay Y = 19 kN/m3 Sand and gravel y = 23 kN/m3 %3D Cpyright by
ASAP
B) For the soil profile shown in Fig. (2), determine 1- The effective and total stress at point A. 2- The effective and total stress at point B. 3- The effective and total stress at point C. Fig.2 5.0m 4.0 m 6.0 m Sand G=2.67 e 0.78, S,= 25% A.V Clay G=2.75 e=0.69 B Clay Ysat 19 kN/m²
3 1. (a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1. 0, = 150 =-30 = 30 60° o, = 75 (All in kPa) Figure Q1 (1) Determine the normal and shear stresses on the P and Q planes which are orthogonal (ii) Determine the magnitudes and directions of the major and minor principal stresse (b) An undrained direct shear test with a hanger mass of 32 kg was performed on a sample of saturated clay. The plan dimensions of the shear box were 60 x 60 mm. The undrained shear strength of the clay is known to be Cu = 60 kPa. The critical state friction angle of the clay is known to be d'ern = 22°. What pore water pressure (u) in kPa, would the sample experience at the ultimate state? (c) Given that the pore pressure calculated from part (b) was negative, explain what this implies about the volume change that would have occurred to the sample (dilative or contractive) if the test was done under drained conditions.
The soil profile shown consists of a layer of dry sand 4 m. thick which overlies a layer of clay having a thickness of 6 m. Ground water table is located at the interface of the sand and clay. Compute the effective stress at the bottom of the clay layer. Sand: G₁ = 2.68; e = 0.40 Clay; G = 2.72; e =0.90 Dry Sand G=2.68. -0.40 4m THE 6m Fa Single Full Clay 21 Ground water table Γ.Α A G2.72 0,90 W
Fig.1 240 Gook Time 22n A 12m 124 400 KN Area = 0.0012 m² (26) Determine the FF. 1. Bc 2. | REX = 7 3. Stress BD 4. Stress BE 5. Stress CE S 2n T F
1. The following figure shows the stress-displacement results of four direct shear tests under different vertical stresses. 70 60 o'v=10 psi 50 - o'v=20 psi 40 Δσ'ν-40 psi o'v=80 psi 30 20 10 0.05 0.1 0.15 0.2 0.25 0.3 shear displ. [in] Based on the results above, develop the Mohr-Coulomb failure envelope. Indicate the cohesion (c') and calculate the drained friction angle (o'). shear stress [psi]
2 m e = 0.53 Gs = 2.65 A 4 m Dry Sand e = 0.47 6 m Saturated Sand Gs = 2.67 a. Determine the effective stress at point A in kPa. b. Determine the effective stress at point B in kPa. b. Determine the effective stress at point C in kPa. c. Determine how high (m) from point B will the water table rise up so that the effective stress at C is 125 kpa.
The sand layer shown is subjected to a downward flow of water. (52.58, 0.436, 14.36) In flow 0.70 in 0.80m 1.2 Sand e=0.52 Gs = 2,70 1.0 valve open Out flow Determine the total stress at point B. b. Determine hi. Determine the pore water pressure at point A. а. C.
In a tri-axial test for a normally consolidated soil, the deviator stress is equal to 700 kPa and the angle of failure plane makes with the major principal plane is equal to 60 degrees. Determine the shearing stress at the failure plane. a. 285.57 kPa b. 327.15 kPa c. 346.12 kPa d. 303.11 kPa
For the soil profile shown in Figure 3. Find the value of the vertical stress change at point A. when the water level increases from level b-b to level c-c. fig. (3) REY Sand 84:18-14 KN/² _W_C% = 11.0% XK 3-0m *c sat=21-35 16/17 sand b. clay 18544-20-35-3.0m A Rock 3.0m b
a) determine the horizontal effective stress at A. (Ans. 53.36 kPa) b) determine the lateral effective stress at point A if the lateral earth pressure coefficient at rest Ko=0.50. (Ans. 26.68 kPa) c) determine the lateral total stress at point A.