Determine the principle stresses σ1, σ2, σ3 and their orientation φ, if σx, σy and σz are known as shown in Figure Q.4b.sigma x = 80 mpasigma y = 10 mpatau z = 40 mpa (b) Determine the principle stresses o1, 02, 6z and their orientation o, if o,, oy and o, areknown as shown in Figure Q.4b.TyのFigure Q.4b

Answered: Image /qna-images/answer/4c669e73-0484-4646-a225-addd5a9d4773.jpg

Answered: Determine the principle stresses σ1,…

Determine the principle stresses σ1, σ2, σ3 and their orientation φ, if σx, σy and σz are known as shown in Figure Q.4b. sigma x = 80 mpa sigma y = 10 mpa tau z = 40 mpa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The stresses acting on element A in the web of atrain rail are found to be 40 MPa tension in the…

A: Given Stress = 40 MPa tension = 160 MPa compression Shear stress = 54 MPa Find…

Q: A steel bar with length of 4.5 m is subjected to forces as shown in the figure: 1. Determine the…

Q: The strains for an element of material in planestrain (see figure) are as follows: εx = 480 X 10-6…

A: Given data as per question εx=480×10−6εy=140×10−6γxy=−350×10−6

Q: Four axial forces are applied to the 25mm thick structural steel bar with 40mm diameter pins as…

A: for solution refer below images,

Q: A steel bar with a diameter of 100 mm is rigidly attached to the wall and carries the loads shown in…

A: Given: The diameter of shaft, d = 100 mm = 0.1 m The torque acting on the shaft, T = 8 kN.m The load…

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 3700 psi, Sy =…

A: Find angle with vertical to find the normal and shear stress at the given plane, θ= 90 - β= 90-49=…

Q: A rigid steel bar is supported by three circular rods as shown in Figure below. There is no strain…

Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…

A: Given, H1=7cm=0.07mH2=9cm=0.09m Area of top bar R=3×3 cm=9×10-4m2Area of bottom bar…

Q: The L2 steel bolt as shown in Figure Q4 has a diameter of 5 mm, and the link AB which is made from…

Q: Why As is like 2(pi/4)d^2 This question asks for the average tension only in section a-a, is that…

A: As we can see that section a-a will be in shear and not in tension.

Q: A bar of circular cross section is subjected to point loads of P1, P2, P3 and P4 as shown here. Find…

Q: A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and…

Q: The rod made of two different materials is fixed at point A. AB aluminum, BC steel It is made of…

A: Given data: The modulus of elasticity in aluminum bar is E1=70 GPa=70×103 MPa The modulus of…

Q: A rectangular steel block is 4 inches long in the x-direction, 6 inches long in the y-direction, and…

Q: For the element shown in the figure, replace the distributed load with the equivalent nodal forces.…

A: To replace the distributed load with equivalent nodal forces, we need to calculate the forces at…

Q: L₁ Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before…

A: Calculate the contraction in bar (2).

Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…

Q: Prob. # 6] Determine the maximum and minimum normal stresses of the lever shown in figure P6. Fixed…

A: Principal stresses are the maximum or minimum value of normal stresses and they act on those plane…

Q: The beam is supported by two wires AB and CD that have a diameter of 12 mm and 8 mm, respectively as…

Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…

Q: Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made…

Q: Complete the Circle of Mohr depicted in the figure.

A: According to the given details in the question.The Mohr Circle is Completed

Q: 2. A thin-walled cylindrical pressure vessel, which has an internal diameter d = 840 mm, is designed…

A: Given: Internal diameter of the pressure vessel: →d=840 mm Internal pressure→p=7 MPa Compressive…

Q: A compound bar consists of a circular rod of steel of diameter 25 mm, rigidily fitted into a copper…

Q: A bar of circular cross section is subjected to point loads of P1, P2, P3 and P4 as shown here.…

Q: 3) Objects 1 and 2 are positioned as shown in the figure. Object 1 is a rigid support. For object 2,…

A: Consider a body having length L,cross-sectional area A and Young's Modulus E is heated by ΔT°C.…

Q: A 1.9-m-long rigid bar AD is pinned to a wall at A and connected to two wires at B and C as shown in…

A: Given data: The length of the bar AD is L = 1.9 m. The clockwise rotation of the bar AD is θ=3°.

Q: QUESTION 3 Two vertical forces are applied to a beam as in Figure Q3(a) with the cross section shown…

A: A pin support will exert both horizontal and vertical components of reaction. The support A is pin…

Q: Part A- Support Reactions and Internal Loading Determine the support reactions C, and C, and the…

A: given d1=1.9md2=0.7md3=1md4=335mmr=230mmP=6kN

Q: A 120 mm x 100 mm x 20 mm T section short column is used as a simply supported beam. The beam…

Q: If the A-36 solid steel rod has a diameter of 50 mm and has been loaded with loadings as shown in…

A: In this question, we have to find the state of stress on the given points. This means that we have…

Q: A steel rod with a cross-sectional area of 2.5 square inches is stretched between two fixed points.…

A: Given:

Q: bar of square cross section is subjected to point loads of P1, P2, P3 and P4 as shown here. Find…

Q: (1) In the figure below, the cross section areas of rods AB and BC are A1, A2, and the Young's…

Q: The bronze bar 2.7 m long with a cross-sectional area of 415 mm2 is placed between two rigid walls.…

Q: The composite bar shown in figure 1 is fixed to the wall at A and connected to the wall at B by two…

Q: ABC element with rectangular section shown in the figure is in the (x-z) plane. Find the point at…

Q: 2. Two steel cables support an applied load of 100 kN as shown in the figure below. Determine the…

A: Given-Data:- P=100KN To- Find:- a) The deformation of member AC and BC b)The vertical and horizontal…

Q: σ x and σ y and the shear stress τ xy at the point.

Q: A cylindrical rod is made of three segments and is subjected to axial loads as indicated in the…

A: if you have any doubts please comment

Q: Consider a two-component rod fixed at the left end. The first component (on the left, positioned…

Question

Determine the principle stresses σ1, σ2, σ3 and their orientation φ, if σx, σy and σz are known as shown in Figure Q.4b.

sigma x = 80 mpa

sigma y = 10 mpa

tau z = 40 mpa

(b) Determine the principle stresses o1, 02, 6z and their orientation o, if o,, oy and o, are
known as shown in Figure Q.4b.
Ty
の
Figure Q.4b

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 by step

Solved in 2 steps with 2 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

Figure below shows the bar with three equal elements. Use the finite element method and calculate: 2.1 the global stiffness matrix 2.2 the displacement on node 2, 3, 4 2.3 the Strain in each element 2.4 the stresses in each element using Hook's law and compare with theoretical stresses (o=F/A) (1) (2) (3) -50 N 10 mm 10 mm 10 mm A1=50 mm? A2=20 mm? A:=10 mm? E=200 GPa
n the figure below, a member is subjected to an axial force P. If the cross sectional area of the member is denoted as AB, then the maximum value of its normal stress occurs when: ∅ = 00 ∅ = 300 ∅ = 450 ∅ =900
The figure below are cables ( circular section) supporting a 48 kN. Find the axial stress of each. The cables has a limited working stress of 79 mPa. What will be the required diameter of each cables to support the 48 kN load? MN kN = 48 kN
Note that : σ2= 14 σ1=30
A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented from buckling sideways, calculate the magnitude force "P" that will cause the total length of the member to decrease 0.24 mm the values of elastic modulus for steel is 221 MPa. Take H1 = 4 cm, H2 is 2 x 2 cm and bottom bar (Q) is 6 x 6 cm. Also, determine the stress-induced in each section of the bar. = 9 cm, top bar (R) IP Solution: R cm x RCm Steel bar i) Magnitude Force, P = H1 cm ii) Stress-induced in the top bar = Q cm x Q cm Steel bar H2 cm iii) Stress-induced in the bottom bar =
Two round solid bars of different materials are connected in series against rigid supports as shown in Figure 4. Determine the stress in each bar and the support reactions if temperature is increased by 18° C. Bar A da, EA, A Bar B dв, Ев, ав LA LB Figure 4 Use the following information. Bar, B: Length, LB Diameter, dB Poisson's Ratio Young's Modulus EB = 210 kN/mm2 Coefficient of expansion aB = 12.4x106 °C- Bar, A: Length, LA Diameter, dA = 25mm =D40 mm = 10 mm 30 mm S. = 0.28 =D0.32 = 70 kN/mm² Coefficient of expansion aa = 16.5x10-6 °C-I Poisson's Ratio %3D Young's Modulus EA
(3): A steel bar ABCD (4m) long is subjected to forces as shown in Figure. Find the stresses in each part. d=20 mm d=15 mm d=15 mm В D 20 kN 25 kN 5 kN 10 kN (4): A round tapered alloy bar (4m) long is subjected to load as shown in Figure. Find the stresses in section at point (B) and section at point (C). D B 30 kN. 50 kN 70 kN 50 kN d=20 mm d=40 mm 1m 2 m 1m
In the following armor find the forces in the members CD, KD and JK of section 1-1 indicated in the figure.
In mechanical resistance
Grandpa/Shutterstock.com 7.3-26 An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to stresses of σ = -45 MPa and 7xy = 39 MPa (see figure). It is known that one of the principal stresses equals 41 MPa in tension. (a) Determine the stress o,. (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented element. PROBLEM 7.3-26 T P o, Т 139 MPa 45 MPa
A symmetrical framework consisting of threepin-connected bars is loaded by a force P (see figure).The angle between the inclined bars and the horizontalis α = 52°. The axial strain in the middle bar ismeasured as 0.036.Determine the tensile stress in the outer bars ifthey are constructed of a copper alloy having the followingstress-strain relationship:σ = 18,000ε/(1 + 300ε) 0 ≤ ε ≤ 0.03 (σ= ksi)