Answered: 1.76.The stresses at a point in a…

1.76.The stresses at a point in a loaded machine bracket with respect to the x, y, z axes are given as 36 48 0 MPa -72 Determine (a) the octahedral stresses; (b) the maximum shearing stresses.

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 7.2.2P: Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker...

See similar textbooks

Related questions

Q: The value of shear stress in the principal plane is Resultant stress Maximum Zero O Minimum

Q: 2.69 A 1-in. square was scribed on the side of a large steel pressure ves- sel. After pressurization…

A: Given E=29×106v=0.30

Q: 8.3 A rectangular block of material is subjected to a shear stress of 30 MN/m2 together with its…

Q: Q:: Determine the force necessary to punch a 10 mm dia. Hole in a 20 mm thick mild steel plate, if…

A: Given data Diameter (d) = 10 mm Thickness (t) = 20 mm Shear strength = 10 MPa

Q: In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for a element…

A: Let us start by calculating the diagonal AB.The length of AB is given as:AB = 0.1m2+0.1m2 =0.414 m

Q: A nylon thread is subjected to a 9.29-N tension force. Knowing that E = 3.22 GPa and that the length…

A: From the stess-strain relationship, within elastic limit. Stress=E*strain Stress=P/A=9.29/A…

Q: A load of P = 5086 N is acting on member AC. The length of AC is d = 499 mm. The cross-sectional…

A: Load, P= 5086 N Length of the rod AC, d= 499 mm Cross sectional area of AB, AAB= 525 mm2 Cross…

Q: The principal tensile stress at a point across two mutually perpendicular planes are 100 N/mm2 and…

A: Write the given data with suitable variables: σx=σ1=100 N/mm2σy=σ2=40 N/mm2θ=20°

Q: rectangular section the ratio of maximum shear stress to the average shear For a stress is

A: Given data : Rectangular section Width=B Depth=D Shear force=V Average shear stress=ζAvg Maximum…

Q: 1. Show that pure shear gives rise to tensile and compressive stresses across the planes inclined at…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the total punching force, given that the shear stress of the material of which the 2mm thick…

Q: The boom AC is a 4-in. square steel tube with a wall thickness of 0.25 in. The boom is supported by…

A: To find: The shear stress in the pin (in psi). Given: The diameter of the steel tube is d=4 in. The…

Q: 1. This stress is developed when a force is applied perpendicular to the cross-sectional area of the…

A: Bearing stress differs from compressive stress in that it is induced by compressive pressures on…

Q: and shear stresses acting on one plane are 8000 psf compression and 2000 psf, respectively. On a…

Q: 1.8 MPa The grain of a wooden member forms an angle of 15° with the vertical. For the state of…

Q: 1,45 Three 18 mm-diameter steel bolts are to be used to attach the steel plate shown to a wooden…

Q: A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as…

A: FBD of rod

Q: A thin rectangular plate is uniformly deformed as shown below. The dimensions of the plate are X =…

Q: The piece of steel shown was initially rectangular in shape. Determine the average shear strain…

Q: 40 MPa 35 MPa For the given state of stress, determine (a) the orientation of the planes of maximum…

Q: The ratio of yield stress to allowable stress is called the Soloct onot

Q: 1. The following state of strain has been determined on the surface of a cast-iron machine part: =-…

Q: A piece of material is subjected to two compressive stresses at right angles, their values being 40…

Q: Question 1 Aluminum rod E = 10400 ksi Allowable axial deformation= 0.3 in. Tension in the rod= 2300…

Q: If the principal stress is 80 MPa in tension and 20 MPa in compression then the maximum shearing…

A: Normal stress is defined as the intensity of force exerted over a unit cross sectional area which…

Q: 1. Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: Two 16-kN forces Pare applied to a 20 x 60-mm rectangular bar as shown. 10 mm 10 mm 30 mm 30 mm 25…

A: Given Data The load acting is: P=32 kN The dimensions of the block are: 20 mm×60 mm The breadth is:…

Q: (b) An elemental cube is subjected to tensile stresses of 180 N/mm2 and 80 N/mm2 acting on two…

Q: At a point in a material under stress there is a compressive stress of 200MN/m2 and a shear stress…

Q: Question Link AB is to be made of a steel for which the normal stress is 388 MPa. Determine the…

Q: [1] In simple stress, the axial force be. .to the subjected area. ......... O A. Perpendicular O B.…

A: Ans.3 When the bar subjected to direct stress the region in which the bar returns to its original…

Q: answer as soon as possible due in 15 minutes

A: The maximum shear stresses are written as, In-plane maximum shear stress, Absolute maximum shear…

Q: The boom AC is a 4-in. square steel tube with a wall thickness of 0.25 in. The boom is supported by…

Q: Part 2 Determine the shear force acting at each of the following locations: (a) x = 11.5- ft (i.e.,…

Q: One of the principal stresses in a two-dimensional stress system is 139 N/mm² acting on a plane A.…

Q: A force of 400N is applied on a area of 20m ^2 . Determine the stress generated by the force .

A: The problem is based on mechanics and can be solved as:

Q: A thin rectangular plate is uniformly deformed as shown. Determine the total shear strain

Q: At a certain section in a material under stress, direct stresses of 45 MN/m2 tensile and 75 MN/m2…

A: Given Data : Direct Stresses are

Q: The steel block shown (Fig. 2.40) is subjected to a uniform preNsure on all its faces. Knowing that…

A: (a) To find: The change in length of other two edges. Given: Change in length in AB is lAB=-1.2×10-3…

Q: a) The stresses in the bars shown after a temperature rise of 96°C. b) the corresponding change in…

A: Given data as per questionArea of bronze bar=1500 mm2EB=105 GpaαB=21.6×10−6/0CArea of Aluminium…

Q: Plane stress at a point in a body is defined by the principal stresses, 9 ở and o. On the plane of…

Q: [1] In simple stress, the axial force be .to the subjected area. O A. Perpendicular O B. Parallel O…

A: The force acting on a body along the longitudinal (axial) axis of the body is known as axial force.…

Q: A load of P = 4900 N is acting on member AC. The length of AC is d = 300 mm. The cross-sectional…

Question

i need the answer quickly

1.76.The stresses at a point in a loaded machine bracket with respect to the x, y, z axes are given
as
36
48
0 MPa
-72
Determine (a) the octahedral stresses; (b) the maximum shearing stresses.

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

Trending now

This is a popular solution!

Step by step

Solved in 2 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

1. At a point in a piece of elastic material, direct stresses of 92 MN/m2 tensile and -49 MN/m2 compressive are applied on mutually perpendicular planes. The planes are also subjected to a shear stress. If the greater principal stress is limited to 100 MN/m2 tensile, determine the value of shear stress. Give you answer to 2 significant figures in MN/m2
At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are as follows : tensile stress 50 N/mm2, shear stress 40 N/mm2 on plane, compressive stress 35 N/mm2 and complementary shear stress 40 N/mm2 on the second plane, no stress on the third plane. Find (a) the principal stresses and the positions of the plane on which they act (b) the position of the planes on which there is no normal stress.
Q2) For the state of plane stress given on the element below, construct a Mohr's circle. Use circle to determine (1) the principal stresses, (2) the principal stress direction, (3) the maximum in-plane shear stress and corresponding and normal stress. 100 MPa 150 MPa Tay - 50 MPa
2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m? (tensile) and 70 MN/m2 (Compressive). The shear stress across the planes is 65 MN/m2. Find the following by Mohr's Circle method and compare with Analytical solutions: (i)The Normal stress on a plane making an angle of 50° with the plane of first stress. (ii)Shear stress on the plane (iii) Maximum shear stress (iv) Resultant stress and it's direction. (v) Major and minor principal stresses.
2.4. The stress at a point is defined by the components Oxr =0 MPa, Oyy= 100 MPa, Oxy = Oyx plane on which the maximum principal stress acts to the x-plane. %3D =-40 MPa. Find the principal stresses o1, 02 and the inclination of the
Q#1 Using Mohr's Circle for the figure shown, (a) determine the stresses acting on an element oriented at an angle 0=25° counter-clock wise from the r-axis. (b) Show these stresses on a 5.5 MPa 27 MPa sketch of an element oriented at the angle 0. (c) Also find principal angles and principal Jio.5 MPa stresses. 1.
01) The frame shown below is fixed at point Q and subjected to the axial load at free end in both direction x and y axis. Determine the actual stresses acting at points A and B, if (a) (Es/Ec) = 8, (b) (Es/Ec) = 0. -1.5m- 50KN -45kN 25cm- Y 25KN B 10cm 50cm 3m #25mm
4 In a plane stress condition, the components of stress at a point are ox= 20 MPa, oy = 80 MPa and Oxy = 40 MPa the maximum shear stress (in MPa) at the point is
The principal tensile stress at a point across two mutually perpendicular planes are 100 N/mm2 and 40 N/mm2. The normal, tangential and resultant stresses on a plane inclined at 20° to the axis of the minor principal stress by analytical method is
2- The state of stresses at a point are defined as follows. Find the normal and shear stress vector components (O₂. ) on a plane tangent to a cylinder of diameter D and coaxial with x-axis (Z-axis) at point (B.y.B). Also, determine the octahedral shear stress. Stu. Nom. D B Y 30 45 60 5.0 2.0 1.5 Ju = 45 20 50 MPa 60 50 10
3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the Young's Modulus is 2.1 x 105 N/mm2. Determine (i) Stresses in each section, and; (ii) Total extension of the bar. Section 3 Section 2 Section 1 35000 N 35000 N 2 cm DIA 3 cm DIA 5 cm DIA k-20 cm- 25 cm -22 cm-
The thickness of the bracket is 0.75 in. Draw a neat Mohr's circle 3 kips for the state of stress at point K, and use the Mohr's circle to determine 30 K. 2.5 in. (a) the principal stresses at K, (b) the maximum in-plane shear stress and average normal 2 in. 5 in: stress at K. Sketch the answers on correctly rotated elements.