Using Mohr's Circle Determine: a.) The principal planes and directions b.) The principal Stresses and directions c.) The maximum Shear stress and the corresponding normal stress and directions 10 MPa 40 MPa 50 MPa

Using Mohr's Circle Determine: a.) The principal planes and directions b.) The principal Stresses and directions c.) The maximum Shear stress and the corresponding normal stress and directions 10 MPa 40 MPa 50 MPa

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...

See similar textbooks

Related questions

Q: 300 mm 125 mm 18 KN/m 5m 40 KN 3m 2 m

Q: A column 300 x 300 mm supports a dead load of 948 kN and a live load of 744 kN. The allowable soil…

A: P = 948 + 744 = 1692KN

Q: The head developed by the centrifugal pump is 40 m while operating at the speed of 750 rpm. If the…

A: given- Head developed H=40 mNumber of revolutions N=750 rpmdischarge Q=50 cumec=50 m3/s

Q: Using equation 6.14, determine the vertical stress (Aoz) increase below the center of paded area at…

A: Given Area = 6.35*3.35m^2 Depth 2m,4,6,8,10m q= 225kn/m^2 Calculate stress at different different…

Q: The hydraulic gradient for quicksand condition is equal to 1.27 with a void ratio of 0.46. The moist…

Q: A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60…

A: step 1-

Q: 3. Draw the shear and moment diagrams of the beams loaded as shown in the figure below and calculate…

A: The double integration method is a powerful tool in solving deflection and slope of a beam at any…

Q: A normally consolidated clay layer 4.38 m. thick has a void ratio of 1.06. Liquid limit is equal to…

A: Asked: To determine the consolidation settlement of the given clay layer. Given: Thickness of the…

Q: The flanged steel cantilever beam of the attachment at A must be de couple is positive if…

Q: . Calculate the volume of excavation if the formation width is 8.0

A: Calculate the required gradient, find the level difference b/w the first and last points, Level…

Q: A beam with a weight of half of W is supported by steel and bronze rods. Determine W (kN/m) if the…

A: Since the loading is symmetric about the centre hence at both the end reactions will be same Let's…

Q: Two rods and one cable are attached to the supports at O. If two of the forces are as shown,…

Q: each of the following equations, state the order and tell whether it is nonlinear or linear, In the…

Q: Determine the maximum moment at C, in kN-m. O 67.5 kN.m O 70 KN-m O 75 kN.m O 82.5 kN.m

Q: lb 20' B 16' IC 200 lb 20' D 16' E 200 lb 20' 24' G 200 lb 20' H 40'

Q: A square column foundation with base of 1.36 m is shown in the figure. It carries an axial load of…

Q: Q4: Determine the member end moments and reactions for the beam shown below using the…

Q: 3. The steel crane rails of MRT are laid with their adjacent ends 3.2mm apart when the temperature…

Q: A ground level contamination source emits 0.45 g/s of a toxic gas into a 2.5 m/s wind. Assuming no…

Q: For items 1, and 2: A vertical parabolic curve of 260-m length has a back-tangent of -4.2% grade…

A: This question is related to the Highway Engineering.

Q: Find the general solution of y'" – 3y" — y¹ + 3y = 0 a. y = b. y = C₁e* + С₂е* + С3e³x C₁e* + С₂е¯ +…

A: Solution of general equation Y"'- 3Y"- Y'+ 3Y= 0

Q: 1-An inward flow reaction turbine has external The turbine is running at 200 rpm e tangent of the…

Q: The diameter of a pipe carrying oil (s=0.92) changes gradually from 400 mm at A to 600 mm at B.…

A: To Determine (a) The direction of flow; (b) the frictional loss between the two points.

Q: A vertical retaining wall 6.8 meters high retains a horizontal backfill having the following…

Q: 3. For the gate shown, α = 45°, y₁ = 1 m, and y₂ = 4 m. Will the gate fall or stay in position under…

A: Given :

Q: Q4: Determine the member end moments and reactions for the beam shown below using the…

A: Solution: Given: slope Deflection Method: Fixed end moments: Span AB: MFAB=-wl212=-2 × 15212=-37.5…

Q: A group of students in CETEST24P determined the initial time of setting of “brand X” cement by…

A: Initial Setting Time of Cement: After completely filling the mold, smoothen the surface of the…

Q: Determine the magnitude (lb) of the reaction at B when a = 21°, a = 11.4 in, b = 14.96 in, y = 16.62…

Q: A vertical retaining wall 6.1 meters high retains a horizontal backfill having the following…

A: Given data in question Specific gravity Void ratio Water content Water table Friction angle To…

Q: can u get the

Q: A frictionless retaining wall is shown. Consider 1m length of wall. a. Determine the total…

A: Given data:

Q: The hydraulic gradient for quicksand condition is equal to 1.25 with a void ratio of 0.42. The moist…

Q: a void ratio of 0.41. The m m³. Compute the specific

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

Q: A -3 m B -3 m IC + -3 m- 60 kN m

Q: Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kg/h at 25°C. The…

A: Given:inner radius of the pipeR=10 mmDynamic viscosity of water μ=0.001 kg/m.sMass flow rate of…

Q: A moist soil sample having a volume of 1.16 m3 has a total mass of 2,314 kg. Specific gravity of…

A: Given data : Total mass of soil m=2314 kg Total volume of soil V=1.16 m3 Specific gravity of soil…

Q: Two grade lines, SE and EA, having a slope of +4.5% and -2.8% respectively intersect at point E.…

Q: Situation 3: A calibrated test of a 0.00785 m² circular sharp-edge orifice in a vertical side of a…

A: Given data : The value of weight of water W=22300 N The value of horizontal distance X=1.92 m The…

Q: , determine the magnitude F and direction 0 gnitude of 1400 lb.

Q: Find The deflection at point, A totsN Find AcH₂OE, AFH C 1 for the Frame 30 MN shown below by unit…

A: Horizontal deflection and vertical deflection at A is zero due to hinge support.

Q: consists of a H.W.7: The composite shaft shown in Figure solid brass segment (1) and a solid…

Q: e Bernoulli's equation to estimate the upward force on an airplane's wing if the average flow speed…

Q: The cause of flow in an open .channel is pressure force True O False O

A: Explanation : For an open channel, as the name itself suggests it has an open dimension ( upper…

Q: answer this: determine the deflection at point D i knm3/EI

Q: A normally consolidated clay layer 3.65 m. thick has a void ratio of 1.09. Liquid limit is equal to…

Q: In an open channel, Wetted perimeter (P) means: The perimeter that with contact with water only True…

A: Wetted perimeter is defined as the total length in contact with water.

Q: The area enclosed by the adjacent isohyets of a catchment basin are shown below 40 - 50 50 - 60…

Q: 4. A building 38m X 45m is to be laid out with a 50m long metallic tape. If during standardization…

A: Given data Measured length of building (Lm) = 38m Measured width of building (Bm) = 45m Wroung…

Q: an outside dia er of in. and an 1 5 in. is securely bonded to a solid 1.25-i stainless steel [G₂ =…

A: Given:- G1=6500ksi G2=12500ksi D=1.75in Tofind:- a)allowable torque b)corresponding torques c)angle…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

Using Mohr's Circle Determine:
a.) The principal planes and directions
b.) The principal Stresses and directions
c.) The maximum Shear stress and the corresponding normal stress and directions
10 MPa
40 MPa
O
50 MPa

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 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

EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on the two planes are Plane EB: EB = 25 kN/m2; EB = +10 kN/m2 Plane FG: FG = 10 kN/m2; FG = 5 kN/m2 (Note: Mohrs circle sign conventions for stresses are used above) Given ; = 25, determine: a. The maximum and minimum principal stresses b. The angle between the planes EB and FG c. The external stresses on planes AB and BC that would cause the above internal stresses on planes EB and FG
Determine principle stresses and the maximum shear stress based assuming normal and shear stress a At in the picture. Draw mohrs circle with max shear and principle stresses and average normal stress.
determine the maximum shear stress. sketch thesection stress distribution
For the beam in the question above, determine the maximum shear stress. sketch thesection stress distribution.
state of plane stress at a point is represented by the stress element below: A. Draw the Mohr’s Circle. B. Determine the principle stresses and draw the corresponding stress elements. C. Determine the maximum shear stress and draw the corresponding stress element. D. Find the stresses on an element inclined at 50o clockwise and draw the corresponding stress element. E. Provide a table illustrating the stress values as well as the inclination angles and compare the obtained values from Mohr’s Circle with those obtained fro
Determine the shear stress at points A and B on the beam if it is subjected to ashear force of V = 400 kN. Represent the state of stress on a volume element of these points.
For the following steel beam, determine: a) State of stress at point A (shown on the element) b) Using Mohr's circle, determine the principal stress at point A and their orientation, and the maximum in-plane shear stress at point A.
Determine the average axial tensile stress in the bar of the figure below if P=225 kN and the cross sectional area of the bar is 2500 square mm
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 ksi, Sy = 11 ksi, and Sxy = 17 ksi. (a) Draw Mohr’s circle for this state of stress. (b) Determine the principal stresses (σp1>σp2) and the maximum in-plane shear stress τmax acting at the point. (c) Find the smallest rotation angle θp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
An element is subjected to the stresses σxx = 2,900[kP a], σyy = 9,100[kP a] and τxy = −3,750[kP a]. Using Mohr's Circle, determine:(a) Principal stresses.(b) The maximum shear stress and associated normal stresses. Show your results in a properly oriented sketch.
Determine the maximum normal stress (in Mpa) in bar ABCD if the cross-sectional area of the bar is A = 532 mm2 and P= 35.29 kN. Round off the final answer to four decimal places.
For the state of stress shown in the figure. a. Determine the maximum and minimum principal stresses.b. Describe the location of the maximum principal stress from side BC.c. Describe the location of the maximum principal stress from side BD.d. Determine the maximum shear stress.e. Determine the normal and shear stresses at plane AB. A = 30 ,B = 50 , C = 10 ,D = 37