Answered: The stresses acting on an element of a…

The stresses acting on an element of a loaded body are shown below. Apply Mohr's circle to determine the normal and shear stresses acting on a plane defined by 0 = 30°. Sol. YA 30° 14 MPa X 28 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: Determine the forces in members BE and CE of the loaded truss. The forces are positive if in…

Q: Explain how Fourier's law of conduction (in one-dimensional cartesian system) can be applied to…

A: Fourier law of heat conduction: Q = -KAdT/dx Where Q: rate of heat transfer K: thermal conductivity…

Q: 20) A horizontal force P = 1200 lb is applied to the rectangular bar as shown. The dimensions d =…

A: Given data P=1200(lb) d=1.50in, b=2.50in and e= 2.00in Find the normal and shear stress at point H

Q: Consider the following root's loci. Imaginary Axis (seconds 1) OC ±45" 5 OD. ±140" 4 3 2 1 -3 -4 -5…

A: Solution: Given Data: To Find: The angle of departure from the complex poles.

Q: Determine, using the principle of superposition, the reactions at supports A and B for equilibrium.…

Q: Determine the magnitude of the force which member CD exerts on the pin at C. B 140° 0.72 m Answer:…

Q: 3.11 Knowing that each of the shafts AB, BC, and CD consists of a solid circular rod, determine (a)…

Q: Ethylene glycol at 40°C flows over a heated plate very wide, 6 m long, at velocity of 0.04 m/s. For…

Q: An auto A is moving at 20 fps and accelerating at 5???2 to overtake an auto B which is 384 ft ahead.…

A: Speed of auto A VA= 20 fts Acceleration of A aA = 5 fts Auto B adead of auto A by distance = 384 ft…

Q: Problem 1: The stress state at a critical point on a steel part (Sy = 250 MPa) is shown below.…

Q: achine member is subjected to fluctuating stress , sigma = sigma_{0} * cos(8pi*t) The endurance…

A: Given:Fluctuating stress equation,σ=σo cos8πtendurance limit=350 MPAFOS=3.5

Q: An ideal vapor-compression refrigeration cycle with ammonia as the working fluid has an evaporator…

A: The given information in the problem is shown in the following attached image:

Q: EX. 5.3 At a point in the structural member, the stresses are represented as shown below. Employ…

A: Find the principal stress and maximum shear stress also find their orientation

Q: your y1 and y2 are still in deg mode?

A: Explanation: In the given solution, y1 and y2 are in deg mode. It should be in radian mode.

Q: Obtain the Cartesian representation for the force P. given that its magnitude is 30 lb. (i.e.…

A: According to the given data we need to represent force P in the form of the vector

Q: In 4-stroke CI engine the intercooler is recommended since it: a) Increases the ignition delay…

A: 1. In a 4-stroke CI engine the inter-cooler is recommended since it:a) Increases the ignition delay…

Q: he given figure, A link OB is rotating with a constant angular velocity of 2 rad/s in counter…

A: Given:A link OB is rotating with a constant angular velocity, ω=2 rad/suniform velocity of sliding…

Q: ers the turbine at 9 Mpaa and 500 deg C at a rate of 15 kg/sec and is condensed in the condenser at…

Q: . A cylindrical steel specimen, with an initial diameter of 7mm, has elongated by 40% at the point…

Q: Calculate the coefficient of performance of this refrigeration cycle. If the cycle is absorbing 1130…

A: Since you posted a question with multiple sub parts, we will provide the solution only to the first…

Q: Determine the force in each member of the loaded truss. The forces are positive if in tension,…

Q: Air at 7.20 MPa (abs.) and a temperature 1100K flows isentropically through a converging-diverging…

A: According to the given data as we know that Po = 7.2Mpa To =1100k A* = 0.01m2 for mach number 4…

Q: A two-jet Pelton wheel is required to produce 2MW power with 400rpm. The diameter of the wheel is…

A: As per expert guidelines we are supposed to solve only the first three subparts of the question.…

Q: The pump station requires to lift the water requirement of the municipality. The total dynamic head…

A: Find , Power required in kW.

Q: A circular tube of aluminum is subjected to torsion by torques T applied at both end. The bar 0.5m…

Q: i) ii) State the assumptions used to arrive at the above equation. Explain why the "log-mean"…

A: This question is based on the concept of Heat exchanger.

Q: Determine the forces in members BC and CG. The forces are positive if in tension, negative if in…

A: As per given question We have determine determine the force BC and CG

Q: An unknown gas at p₁= 0.65 KPa, V₁ = 0.4m³ undergoes a process to p₂= 0.103 KPa, V2 = 1.54 m³,…

Q: A particle travels along a straight line with a constant acceleration. When s = 4 ft, v = 3 ft/s and…

Q: A free body diagram must be inlcuded as part of the problem solution to receive full credit.…

Q: Q2: 0.2 m diameter, 4 mm thick, k-120 W/m.ºC disc is welded to 10 cm diameter hot bar at 120 °C…

A: Given data Thickness =4mm Thermal conductivity =12w/m^2c Diameter of disc=0.2m We have to determine…

Q: Questions 3and 4 For the figure shown answer the following: 3. The location of x-coordinate (X) of…

Q: 15. A fluid in a closed system expands slowly according to the given relation U = 32+ 0.004 PV where…

A: Dear students

Q: 2. A football is kicked downward from a 50m tower with an initial speed of 18m/s. Determine the…

A: S= ut + 0.5 at2 Data given: S= -50m (because football motion is -y direction). a=-9.8 m/s2 u=0…

Q: Find the altitude in km at which the pressure is 10.51334141 in cm Hg.

A: GivenP=10.51334141 cm Hg =105.1334141 mm Hg

Q: Determine the forces in members BC, BE, and BF. The triangles are isosceles. The forces are positive…

Q: (A simple pendulum). Consider the dynamics of the pendulum depicted below, where u denotes an input…

A: Given: Mass of the rod is M And half length of the rod is L So the total length of the rod is 2L We…

Q: If the log will slide when a force of 443Ib is applied horizontally, what is the maximum angle the…

A: Introduction In this problem, we will calculate the greatest angle that the force that can be…

Q: (A): Derive the system of differential equations describing the straight-line vertical motion of the…

A: In This question given data is K1=1 , K2=1, K2=1 also m1=1 m2=1 also the Initial Conditions are…

Q: #1) FIND REACTIONS & DRAW THE SHEAR & MOMENT DIAGRAMS FOR THE BEAM SHOWN 2 K/FT 120 к √B D…

A: Given: A uniform distributed load of w=2 k/ft acting for 10 ft from left end and A point load of…

Q: Which analysis/analyses is/are required to make energy conversion or energy conveying system more…

A: Which analysis/analyses is/are required to make energy conversion or energy conveying system more…

Q: An incompressible viscous flow is contained between two parallel plat from each other by distance b.…

A: Incompressible viscous flow. Distance between two plates b= 5 cm =0.05 m Velocity of upper plate U=…

Q: The equation of motion of a mechanical system is 4 +10y = 120g(t) where g(t) is dy dt the stimulus…

Q: (a) Show that the Weber number is dimensionless: V √o/pl Where is the surface tension, V velocity, p…

A: When examining fluid flows when there is an interface between two distinct fluids, the Weber Number…

Q: 5. The moment of inertia of the half circle (area A) about the X-axis is a) 436.54 in d) 16.53 in b)…

Q: Problem 1: A state of plane stress at a point on the surface of a structure consists of the…

Q: In the figure below, both the ceiling and the ruler accelerate together at 1.6 m/s in the +y…

Q: An ideal vapor-compression refrigeration cycle operates at steady state with Refrigerant 134a as the…

A: Given that: For a vapor compression refrigeration cycle, Pressure at the inlet of compressor is 1.25…

Q: A regenerative Rankine cycle, producing 250 (+ last digit of ID number) MW, has two feedwater…

A: Given: Power, P=259 MWTurbine enter pressure=16.5 MPaTurbine enter temperature=509 CTurbine exit…

Q: Task №2. The triangular prism A moves along the horizontal plane with the velocity V- 5 m/s and the…

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

Ex. 5.4
The stresses acting on an element of a loaded body are shown below. Apply Mohr's circle to
determine the normal and shear stresses acting on a plane defined by 0 = 30°.
Sol.
YA
30°
14 MPa
-28 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-Given Data

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

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-
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
The state of stress at a point in a soil beneath a level ground surface consists of a major principal stress of 70 kPa and a minor principal stress of 25 kPa. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress and calculate the orientation angle (relative to horizontal) of the plane of positive maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of -20° (i.e., 20° clockwise) relative to the horizontal plane.
5. Segment AB of the bar is a tube with an outer diameter of d1 and a wall thickness of 0.125 in. Segment BC is a solid rod of diameter d2. The average normal stresses must not exceed 3400 psi in rod AB and 6500 in rod BC, respectively. Use P1 = 3,600 lb. and P2 = 5,500 lb. 0.125 in. di В A 6 in.- 6 in. Determine the smallest allowable value of d1 (in inches). Round-off to 2-decimal places. Your answer Determine the smallest allowable value of d2 (in inches). Round-off to 2-decimal places. Your answer Вack Next Clear form Never submit pas swords through G0ogle Forms
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
6. In a plane stress condition, the components of stress at a point are o, =20 MPa, oy =80 MPa and Txy 40 MPa. The maximum shear stress (in MPa) at the point is (A) 20 (B) 25 (C) 50 00T (a)
A 70 lb force P is applied to the brake pedal of a tractor, as shown below. Force Qis applied to the brake cylinder. Determine the maximum tensile and compressive normal stresses on section a-a, which is midway between points A and B. Section a-a is a x 1 in rectangle. 3 16 8.5 in 7.5 in P 30% 1 in a A B -4 in- a -Q
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
3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an elastic material. Using Mohr’s circle of stress determine the principal stresses at the point and their directions for each combination. 1}sigmax -60 n/mm2 , sigmay -36n/mm2 ,TAUxy=5n/mm2 2}}sigmax 30 n/mm2 , sigmay -50n/mm2, TAUxy= 30n/mm2
Two forces are applied on the beam shown below. (a) Determine the normal and shear stresses at point B on the shown cross-section. (b) Show the state of stress at the point B on a volume element. 400 lb B 1 in. 2 in. 500 Ib 2 in 10 in. 1.5 in. 1.5 in. Show your steps and highlight the following answers please I =
For the structure shown, determine the following: a. The normal and shear stresses in section (ksi) b. The maximum normal stress in member BC (ksi) c. The maximum bearing stress on member AB (ksi) Pins A & C have a diameter of 34 in while pin B has a diameter of ½ in. Both members have a thickness of 0.4 in. There are two support plates at A. 1.5 in. B C 60° 8 ft 2 kip/ft A
Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.