10 MPa 9. Using Mohr's circle, for the figure at the right, determine: a) The angle to the principal plane. b) The principal stresses. c) The maximum shear stress and corresponding normal stress. -40 MPa 50 MPa

10 MPa 9. Using Mohr's circle, for the figure at the right, determine: a) The angle to the principal plane. b) The principal stresses. c) The maximum shear stress and corresponding normal stress. -40 MPa 50 MPa

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: 10. If e = 30° and F2 = 6 kN , determine the magnitude of the resultant force acting on the 5-5 KN p...

Q: The three legs of a small glass-topped table are equally spaced and are made of steel tubing, which ...

A: First, note that symmetry implies that x¯=z¯=0 Also, to account for three legs, the masses of com...

Q: In traveling a distance of 2.6 km between points A and D, a car is driven at 115 km/h from A to B fo...

Q: In a concentrated solar power plant, molten salt tank is used to store the thermal energy from the s...

Q: The directions of the X-axis are the same in the machine coordinate system and the work coordinate s...

A: The work coordinate system is used for orientation and positioning. The direction of x axis are same...

Q: A jet of water 50 mm diameter is discharging under a constant head of 70 meters. Find the force exer...

A: Diameter of jet, d=50 mm=0.05 m H=70 m, Coefficient of velocity, Cv=0.9

Q: Determine the dewpoint of the

A: Given :- Dry bulb temp =28 Relative Humidity=50 To Find:- Dew point temperature=?

Q: . Determine the elastic section modulus, yield moment, the plastic moment, and plastic section modul...

Q: 25 KN/m 15 KN/m KN 10 B C RA 2 m 2 m

Q: The position of a particle is defined by r= [ (5 cos 21) i+ (4 sin2t)j]m, where t is in seconds and ...

Q: cos 2r +) + cos 2r + 24. What is the simplest form of- sin 2x + + sin 2x + A) -sin2r B) -cot 2x C) -...

A: Answer: The correct answer is option (D) -tan(2x).

Q: Using the right-handed rule for a typical vertical 3-axis CNC machine, which direction is the right-...

A: Using the right handed rule for a 3 axis CNC machine, right hand thumb points at positive X (X+) dir...

Q: It is desired to pump ethanol at 20°C through 115 m of straight smooth tubing under laminar-flow con...

Q: The rigid slab of weight W, with center of gravity at G. is suspended from three identical steel wir...

Q: In a spur gear arrangement, the driver has 90 teeth of 38 mm pitch. Find the power, if it can transm...

A: Given that Pitch= 38 mm Tangential force = 130 N Speed = 100 rpm

Q: Iny x" = 4y+1 13. What is the value of x in the system of equations Inx =y+ 10] A) 11.21

Q: An unknown specimen with an initial diameter of 5.25 mm experiences a reduction in diameter to 4.50 ...

A: Initial diameter of the specimen, di=5.25 mmFinal diameter of the specimen, df=4.50 mmTensile load, ...

Q: 1. A jet of water strikes on series of cup shaped vanes which deflects it through 165 degrees If the...

A: A jet of water strikes a set of cup-shaped vanes, deflecting it via a 165o angle.If the jet's veloci...

Q: :A piece of the pipe 300 mm long weighing 13N and having i.d of ɔlmm is slipped over a vertical shaf...

Q: A horseshoe player releases the horseshoe at A with an initial speed vo = 39 ft/sec. Determine the r...

Q: :in this formula, C referred to the M * C f = I the distance h/2 Moment of Inertia O Bending moment ...

A: GIVEN DATA- SOME QUESTIONS WERE GIVEN ABOUT THE BENDING EQUATION WE HAVE TO CHOOSE THE CORRECT OPTIO...

Q: . Two planes leave an airport. The first plane flies 800 miles on a bearing of N 20° W. The second f...

Q: A water tank in the figure shown is made from steel plates that are 1/2 in. thick. Find the height t...

Q: 4. Supposed a = log, 2, what is log,x? A) -a 1 B) a ha C) In2 D) bg,a

A: Answer: log2 (x) = 1/a Therefore, correct answer is option (B).

Q: In the figure, two blocks are connected over a pulley. The mass of block A is 11.0 kg and the coeffi...

A: According to Coulomb's law of dry friction:- Total frictional force is independent of the magnitude...

Q: A pump is to deliver 80 galloons/min of water 60°C with discharge pressure of 1000 kPag. Suction pre...

Q: A stepped shaft with diameters D1 = 40 mmand D2 = 60 mm is loaded by torques T = 1100 N. m(see figur...

A: Given Diameter, D1 = 40 mm D2 = 60 mm Torque, T = 1100 N . m Find Smalles...

Q: 6 m 6 m 4 m A

Q: An element that has Young's modulus is E=70GPA, the Poisson's ratio is v=0.33 and yield stress Y = 2...

Q: P4.88 The viscous oil in Fig. P4.88 is set into steady motion by a concentric inner cylinder moving ...

Q: The following figure shows the critical position of a crane that supports 2.5 Tons of load by means ...

A: (a) Start by calculating the rest of the forces in the crane using equilibrium equations: ∑Fx=0-4.2+...

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to th...

Q: refrigerant 22 vapor compression system includes a liquid-to-suction heat exchanger in the system. ...

Q: 100 kg

A: Newton's subsequent regulation expresses that the speed increase of an item relies on two factors - ...

Q: Two blocks of wood 50mm wide and 20mm thick are glued together. a. Using the free body diagram conce...

A: Calculated shear load and from it the shearing stress in the glued joint and also deriving shear str...

Q: Describe how Foilsim calculates lift and drag.

Q: 46. Find the governing differential equation for temperature distribution in spheres with symmetry i...

Q: During construction of a highway bridge, the main girders are cantilevered outward from one pier tow...

A: Given Load, P = 9.5 kN/m Length, L = 48 m Find Maximum bending stress

Q: A venturimeter is connected in a pipe carrying water. The diameter of pipe is 250 mm. The difference...

A: Given that, d1=250 mm=0.25 m, Q=0.05 m3/s x=45 mm pf Hg=0.045 m of Hg, Cd=0.96

Q: Question 2. The system shown below is composed by a flexible cable, a bar and weight with mass equal...

Q: On turning a corner, a motorist rushing at finds child on the road 50 m ahead. He instantly stops th...

A: The velocity of the car is defined distance covered by the car in unit time. i.e.if the distance cov...

Q: 3. Based from the pump performance curve below, calculate the following: a) Specific speed b) Suctio...

A: Given data pump performance curve Specific speed and Suction Specific speed is to be calculated.

Q: Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 17...

Q: proximated by 2n(t- tnoon) At F = Fmaxcos-

A: To given thatF=Fmaxcos2π(t-tnoon)∆t ......(1)where, Fmax=300Wm-2 ...

Q: A rankine cycle operates between a pressure limit of 6 MPa. and 50 kPa., the steam leaves the boiler...

A: GIVEN DATA- A RANKINE CYCLE WORKING BETWEEN 6MPa 450'C AND 50KPa WE HAVE TO FIND PUMP WORK AND CYCLE...

Q: 1.5 A reservoir exists at a temperature of 25 C suitable for storing gas. It has an areal size of 2....

A: Given: Temperature of the reservoir→T=25°C=298.15 K Area of the reservoir→A=2.5 km2=2.5×106 m2 Thick...

Q: BOLTED CONNECTIONS Situation 1: The lap joint shown consists of bolts 22 mm in diameter with 25 mm d...

Q: B. A machine - part needs 14 bolts a How many bo43 are needed For 25 nachine -parts? b. wnat is the ...

Q: A copper tube having a cross-sectional area of 2000 mm2 and a length of 300 mm is placed between two...

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 338 - ...

A: Answer: (a) The net displacement : ∆s = 1.08258 m. (b) The total distance travelled : D = 1.13178 m....

Concept explainers

Mechanisms of heat transfer

Heat transfer is an essential discipline in thermal engineering that deals with the transfer, conversion, usability, and creation of heat or thermal energy. Transfer of heat occurs through various mechanisms like conduction, convection, radiation, and change of phases. All these mechanisms have distinct characteristics, but these mechanisms can simultaneously occur in an identical system.

Question

Asap

10 MPa
9. Using Mohr's circle, for the figure at the
right, determine:
a) The angle to the principal plane.
b) The principal stresses.
c) The maximum shear stress and
corresponding normal stress.
- 40 MPa
50 MPa
10. For the stress element shown, use
Mohr's circle to determine the stresses
acting on an element inclined at an
angle of 30°.
Oy = 20 MPa
%3D
Ox = 90 MPa

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

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, 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.
A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle Bv
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 = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (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)
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 = 13 ksi, Sy = 15 ksi, and Sxy = 13 ksi.(a) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(b) Find the smallest rotation angle θpθp (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)
For the stresses of plane stress state is ?? = −8 ??? , ?? = 7 ??? and??? = −6 ???Draw a Mohr’s circle diagram.Draw stress element for the given stressesFind the principal normal and shear stresses, and determine the anglefrom the x axis to ?1Draw the stress element for the principle stress.Using stress transformation, find the principle stresses and the angle of ?1Determine the stress transformation for the angle ∅ = 25° #Answer all in detail
For the two-dimensional stress fi eld shown in Fig. it isfound thatσxx = 3000 lbf/ft2 σyy = 2000 lbf/ft2σxy = 500 lbf/ft2Find the shear and normal stresses (in lbf/ft 2 ) acting onplane AA cutting through the element at a 30° angle asshown.