Can you help me with this problem, please: At a material point in plane stress it is known that the hydrostatic component of the stress is 15 ksi and that the second stress invariant is 30 ksi. Determine the magnitude of the principal stresses and the maximum shear stress.

Can you help me with this problem, please: At a material point in plane stress it is known that the hydrostatic component of the stress is 15 ksi and that the second stress invariant is 30 ksi. Determine the magnitude of the principal stresses and the maximum shear stress.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...

See similar textbooks

Related questions

Q: Design an analog Butterworth filter with the following properties. Find the transfer function?…

A: Step 1: Determine the filter order and cutoff frequency using the given specifications.From the…

Q: How can the Bode plot be used to analyze and design control systems in mechanical engineering…

A: In control systems engineering, a Bode Plot is a graphical representation of a linear,…

Q: 100 N 60⁰ c. 40 mm +P 40 mm --x 40 mm 1. the magnitude of the force P 2. the magnitude of the…

A: According to our guidelines , we are supposed to answer first three sub parts separately . Please…

Q: You are asked to design an insulated stud timber wall and have the following materials available:…

A: Given:To find:Design a wall

Q: A trough whose cross section is an equilateral triangle with side a = 3 m long is filled with water.…

A: Given:Triangle is givenSide, a= 3m To find:Force due to the water pressure on the one end of the…

Q: A household refrigerator with a COP of 1.25 removes heat from the refrigerated space at a rate of…

Q: 300 mm before coming to a full stop. The rod has a mass of 1.5 kg and a length of 1.2 m while block…

Q: A steel pipe with heat transfer coefficient of 42 W/mK contains flowing water. The outer diameter of…

Q: The speed of a car increases uniformly with time from 38 km/h at A to 91 km/h at B during 16…

A: Speed of a car increases uniformlySpeed at A = 38 km/h VA = 38 × 5/18 = 10.55556 m/sSpeed at B = 91…

Q: y 2 cm O c) The shaded area A is = cm² d) The position of centroid along x-axis is x = e) The…

Q: Draw the weld symbol for the following welded joint in Figure 1. 6 09 (a) 6 (b) (c) Figure 1 6

Q: A test car starts from rest on a horizontal circular track of 110-m radius and increases its speed…

A: Given-Information:To-Determine:The magnitude of a.

Q: 1. Nitrogen contained in a piston-cylinder device is compressed from 0.5 to 0.2 m³. During the…

A: Volume at state 1,V1=0.5 m3Volume at state 2,V2=0.2 m3To determine:Work done on the nitrogen during…

Q: F:900 6 F₂=60016 F₁=90016 30° ▼ ▼ Part A Determine the magnitude of the resultant force acting on…

A: Find the resultant force of the force system and its direction angle measured counter clockwise from…

Q: Part A 2 m 1 m 2m Determine the projection of the force F along the pole. Express your answer to…

Q: What are the key factors that affect the performance of a centrifugal pump in a fluid flow system,…

A: Centrifugal pumps play an integral role in various industrial and domestic applications to transport…

Q: What factors should be considered when selecting a clutch, brake, coupling, or flywheel for a…

A: In the field of mechanical engineering, components such as clutches, brakes, couplings, and…

Q: For the system given in the figure on the right-hand side, where the input is four-unit step i.e., r…

A: givenAs per the Bartleby policy I am solving Part a, b, c and d.

Q: How does the choice of material and cross-sectional geometry affect the bending behavior and…

A: In the field of mechanical engineering, the selection of materials and cross-sectional geometry of a…

Q: mechanical engineering (Machine design) (1)Find the torque and power that a shaft with a diameter of…

Q: 6. A stationary tow-truck is using a winch to pull a car along the road toward the truck. The winch…

A: Speed of line connected between winch and car,V=10 cm/sheight,h=2.5 mdistance between car and…

Q: The hydraulic crane is used to lift the 1380-lb load. Determine the force in the hydraulic cylinder…

Q: Air enters an adiabatic nozzle steadily at 500 K and 500 kPa with a low velocity. and exits at a…

A: At state1:T1=500 KP1=500 kPaV1=0 (low velocity so 0)At state 2:P2=100 kPaSpecific heat of air at…

Q: How does the presence of chemical reactions affect phase equilibrium in thermodynamic systems within…

A: Thermodynamics is a branch of physics that studies the relationship between heat and other forms of…

Q: The acceleration of a particle is defined by the relation a= k (1 - ex), where k is a constant. The…

Q: 18.2 Consider an elliptic-planform wing with an aspect ratio of 8. (Root chord=c, span=2b) The…

A: The lift force versus angle of attack can be calculated using the equation:where ρ is the air…

Q: Question 7 find the wter pressure at pipe in this system? (Use HAZEN- WILLIAM CH-130, 0-1.2 m³/s…

A: The water reservoir elevation, H1 = 103.5 mThe tap elevation, H2 = 55 mThe diameter of pipe, d = 100…

Q: The beam loading is shown in Figure Q4a, and the cross section in Figure Q4b when cut at A-A. The…

Q: Of BCC and FCC crystal structure, which one would expect to have a higher packing factor and why?

A: BCC and FCC CrystalTo find: Atomic packing factor

Q: systems used in engines? 2 types case

A: There are typically two types of crankcase ventilation systems used in engines: the positive…

Q: A line AB measures 120 mm on the front view and 80 mm on the top view. Determine the true length of…

A: Given data :-Front view of AB = 120 mmTop view of AB. = 80 mmFind out :- True length of AB and it's…

Q: 6 2 0 2 + 8- 1. Determine the area of the shape 2. Determine the moment of inertia about the y-axis.…

Q: Determine the magnitude of F in lb so that the resultant couple moment is 260 lb-ft…

A: Given Data

Q: 4) A constriction in a pipe will cause the velocity to rise and the pressure to fall at section 2 in…

A: Given data :-Pressure at point 1 = P1Pressure at point 2 = P2Venturi Tube is given which is…

Q: 5/110 Determine the shear force V and bending moment M at a section of the loaded beam 200 mm to the…

A: Given- Determine-Shear force V and bending moment M at the section of loaded beam 200mm to…

Q: Calculate the principal normal stresses and their directions, the maximum shear stresses and the…

Q: (b) A transistor with a height of 0.4 cm and a diameter of 0.6 cm is mounted on a circuit board as…

A: Height, H = 0.4 cm or 0.004 mDiameter, D = 0.6 cm or 0.006 mAverage heat transfer coefficient, h =…

Q: A Christmas decoration is suspended by two wires. Two equal tension forces in the wires each act at…

Q: There is an adiabatic pumping system in which it transports water at a mass flow of 5 kg/s. Using…

Q: The figure shows a uniform rod OAB with a mass of 5 kg/m supported by a ball-and-socket joint at O…

Q: A) T(xt)=10Sin ().e(-1,752 (²+)+(sin().e(-1,752 (3²)t + B) T(x.t) = 200 (Sin ().e(-1,752 (²t) +…

A: The initial temperature distribution function, TS0(x):TS0(x) = -1752 sin(pi*x/5)Next, we can use the…

Q: Water at 20°C is pumped through a smooth 12-cm-diameter pipe 10 kmlong, at a flow rate of 75 m3/h.…

Q: Below is the arrangement for a gear train. A motor delivers 200-hp at 540-RPM to the input gear A.…

Q: Q1 / Reduce the block diagram to the simple form R(s) S 13 S S -0 C(s)

Q: Determine the deflection and slope at point C by using singularity function method.

Q: The force of F = 55 lb acts along the edge DB of the tetrahedron shown in (Figure 1). Figure 8 ft 10…

A: GIVEN- FORCE ACTS ALONG THE EDGE DB IS F=55lbDETERMINE- magnitude the amount of force…

Q: Discuss the concept of vibration absorber with example.

A: This question is based on the concept of vibration absorber.

Q: Air flows over a stationary flat plate at speed of 4,3 m/s. Plate has a width of 1 m. Air has a…

Q: 100 mm 6 in. 200 mm 140 mm 140 mm 2. Locate the centroid (x, y) for the angle's cross sectional…

A: A2 = A2 = A2 = 15707.96 A1 = A1 = 40292.04-> Centroiet of Rectangular point. X1 = 100…

Q: How does the design process in mechanical engineering contribute to the development and optimization…

A: The design process in mechanical engineering is a multi-step process that can be broken down into…

Question

Can you help me with this problem, please:

At a material point in plane stress it is known that the hydrostatic component of the stress is 15 ksi and that the second stress invariant is 30 ksi. Determine the magnitude of the principal stresses and the maximum shear stress.

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: Principal stresses (σ1, σ2)

VIEW

Step 2: Maximum shear stress (τmax)

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 5 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
At a point in a material under stress there is a compressive stress of 200MN/m2 and a shear stress of 300MN/m2 acting on the same plane. Determine the principal stresses and directions of the planes on which they act
Determine the principal planes and the principal stresses for the state of plane stress resulting from the superposition of the two states of stress shown.
Direct stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm?. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
A body is subjected to a direct tensile stress of 300 MPa in one plane accompained by a simple shear stress of 200 MPa. Determine maximum normal stress on the plane.
At a point on the free surface of a stressed body, thenormal stresses are 20 ksi (T) on a vertical plane and 30 ksi (C) ona horizontal plane. An unknown negative shear stress exists on thevertical plane. The absolute maximum shear stress at the point hasa magnitude of 32 ksi. Determine the principal stresses and theshear stress on the vertical plane at the point.
Considering the original state of stress as shown in figure below and recalling the already developed equations for normal and shear stress at an angle Ɵ c.c.w from x-axis, mathematically prove that the planes of maximum in-plane shear stress are inclined at 45o to the principal planes.
A point is subjected to tensile stresses of 200 MPa and 150 MPa on two mutually perpendicular planes and an anticlockwise shear stress of 30 MPa. Determine by any method the values of normal and shear stresses on a plane inclined at 60° with the minor tensile stress.
A rectangular block of material is subjected to a tensile stress of 90 N/mm2 along X axis and acompressive stress of 45 N/mm2 on a plane at right angle to it, together with shear stresses of80 N/mm2 on the same plane. Calculate the direction of principal planes, the magnitude ofprincipal stresses and the magnitude of greatest shear stresses.
At a certain section in a material under stress, direct stresses of 45 MN/m2 tensile and 75 MN/m2 tensile act on perpendicular planes together with a shear stress τ acting on these planes. If the maximum stress in the material is limited to 150 MN/m2 tensile, determine the value of τ.
For the state of plane stress shown in Fig. determine (a) the princi-pal planes, (b) the principal stresses, (c) the maximum shearing stress and the corresponding normal stress.
The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 50 MN/m2 tension respectively. The shear stress across these planes is 30 MN/m? (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 30° to the plane of greater principal stress. And also verify the answer by drawing the Mohr's circle.