The stress is directly proportional to strain at the elastic limit is known as Hooke's law Select one: O True O False
Q: The three figures show the stress-strain diagram for three different metals, c, b, and a, if you…
A: Given: To study the curves and answer the given questions.
Q: True strain is based upon (A) Original c/s area (B) Final c/s area (C) Average c/s area (D)…
A: In the case of engineering stress and strain curve , the curve is dependent upon the gauge length of…
Q: A 5 mm diameter aluminium alloy test bar is subjected to a load of 500 N. If the diameter of the bar…
A: Given, Initial diameter = D0 = 5 mm Final diameter = D = 4 mm Load = P = 500 N True strain is…
Q: rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently it is compressed to…
A: Given:Final length, Lf=10 mmInitial length, Lo=20mm
Q: Select the appropriate Stress -Strain plot which has the highest elastic modulus from the following…
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Q: -Which of the following statement/s is NOT true? Strain is dimensionless The cross-sectional area…
A: It is required to choose correct option
Q: The ratio of direct stress to the volumetric strain is known as Bulk Modulus Select one: True False
A: It is required to evaluate given statement
Q: The stress in a rod is 70 N/mm2 and the modulus of elasticity is 2 x 105 N/mm2. what will be the…
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Q: A bar is compressed to half of its original length. The magnitude of true strain produced in the…
A: Let us take, Initial length of the bar = Li From the question, Final length of the bar = Lf = 0.5…
Q: A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a…
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Q: QUESTION 4: An originally rectangular rubber piece is deformed into the shape given by the dashed…
A: To find (a) The average normal strain along AC and BC. (b) The shear strain γxy along all the…
Q: A materials elastic limit is defined as: a) All answers are correct b) point where the materials…
A: Point where the materials stress-strain curve intersects the .2% strain offset line is known as…
Q: Hooke's Law may be applied to relate stress and strain above the proportional limit. true or…
A: Hooks Law:-As per Hooks stress is directly proportional to the strain within the proportional limit.…
Q: erial when longitudinal strain is 0.12mm/mm and transverse strain is -0.03
A: Given data Longitudinal strain=0.12mm/mm Transverse strain=-0.0396mm/mm
Q: Question 1 The 60° strain rosette is mounted on a beam structure at point A as shown in Figure 1.…
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Q: Use Hooke's Law to calculate the shear modulus of the specimen. answer: G = i MPa
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Q: When the shear stress is applied to homogeneous isotropic material,it will only produce shear strain…
A: Consider the diagram shown below for the shear stress on an element.
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: Q3 / The 45° strain rosette is mounted on articular cartilage element. Figure Q3 shows the readings…
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Q: Take longitudinal strain 0.02
A: Given data : Longitudinal strain εL=0.02 Poisson's ratio μ=0.5 To find : Lateral strain
Q: The strain at failure is very small for __________ Select one: a. Aluminum b. Copper c. Mild Steel…
A: We have made an approximate stress-strain graph for your better understanding.
Q: When a tensile load of 20kN is applied to a rod, the extension of the rod is 0.2 mm and the strain…
A: Given data: Extension in the rod, ΔL = 0.2 mm. Strain, ε = 0.01. The strain equation is, ε=∆LL…
Q: The tension on the Achilles tendon with a diameter of 10 mm is 4000 N ,if the length of the Achilles…
A: Given: Diameterd=10mmTensionT=4000NLengthL=200mmTo find: Lengthening of tendon
Q: What is the point P shown on the stress strain curve? stress strain Select one: O a. Ultimate stress…
A: Option a is correct.
Q: If a rubber material is deformed as shown in the following figure. determine the normal strain along…
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Q: The force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.011∘.…
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Q: The ratio of increase in length to the original length is known as tensile strain. Select one: True…
A: Starin: Tensile strain is defined as the ratio of increase in length to the original length.
Q: Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before…
A: The deflection in bar 2 is calculated as: δC=3300×10-6×1200=3.96 mm
Q: 3. Which statement is correct? (1 pt) (a) Normal stress is proportional to normal strain (b) Shear…
A: 3) option a is correct.
Q: A body is subjected to multiple applied loads. The resultant stress at point location (0, 1, 4)…
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Q: Learning Goal: To become familiar with the general equations of plane strain used for determining…
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Q: If the engineering stress is 100 MPa, and the corresponding engineering strain is 0.0015, what is…
A: Given Data: Engineering Stress σE=100 Mpa Engineering Strain ε=0.0015
Q: (iii) What is the strain of brass rod of length 250mm which is subjected to a tensile load of 50kN…
A: Given : Length L= 250 mm load P = 50 KN Change in length L1 = 0.5 mm
Q: 1. It is the amount of deformation in the direction of the applied force or the response of a system…
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Q: 7. The point where the stress-strain diagram for structural steel becomes almost horizontal is…
A: The stress -strain diagram for the steel is as follows:
Q: Select the appropriate Stress -Strain plot which has the highest ultimate tensile strength from the…
A: Option a is correct.
Q: The ratio of original length to the increase in length is known as tensile strain. Select one: True
A: strain: the ratio of increase in length to the original length is called strain or tensile strain.
Q: From tensile test, the Young's modulus for a material is found by taking stress and strain within…
A: The answer to the above question is true. Under the loading condition within the elastic limit, the…
Q: To draw the shear stress-strain diagram, the collected data needed are the force applied on the…
A: The given statement is true.
Q: Hooke's law is used to correlate true stress and true strain in the plastic region of the…
A: Described Hooke's law is used to correlate true stress and true strain in the plastic region of the…
Q: 4. A length of copper pipe measures 15.3 m. According to a job be cut into 3.2-m-long pieces. How…
A: A copper pipe length measure is 15.3m. Cutting pipe length is 3.2m Let number of pipes is N A long…
Q: (iv) What is the elongation of an steel rod of 100mm length when it is subjected to a tensile strain…
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Q: The ratio of longitudinal strain to the lateral strain of the object is known as Poisson's ratio…
A: Poisson's ratio is the deffination is lateral strain to longitudinal strain
Q: Question 5: The 45° strain rosette shown in Figure 5 is mounted on a machine element. The following…
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Q: The ratio between lateral strain and longitudinal strain is known as Poisson's ratio Select…
A: Longitudinal strain is the strain produced in the direction of the applied load, while lateral…
Q: The tensile stress of an object is 250 MPa & the strain is 0.0021 then the value of Youngs's Modulus…
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Q: What will be the reduction factor for a strain equal to 0.0038? O 0.65 O 0.78 O 0.80 O 0.90
A: The strain of the object is given as, εl=0.0038
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- A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
- A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d of the piston is 1,80 in. and the compressive force F is 3500 lb. The maximum allowable shear stress t^^, in the wall of the cylinder is 5500 psi. What is the minimum permissible thickness t„± of the cylinder wall? (Sec figureDetermine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
- A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.-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.
- An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.-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. aA 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?