Consider the stress-strain diagram, shown in the figure, of a bar made from a composite material. The bar has a 53 mm diameter (d), a length (L) of 0.6 m, and a Poisson ratio (v) of 0.35. (1) Determine the Young's modulus [elastic modulus] of the material. 800 700 600 500 400 300 200 100 0.0015 0.003 0.0045 0.006 0.0075 0.009 0.0105 o [MPa]
Q: A cable steel has a length of 100 m and stretch to 5 cm when the load is applied at both ends. If…
A: Using the basic formula of strength of materials
Q: A steel cable is used to lift a load W with the following given. weight W = 175 kN diameter = 30.03…
A:
Q: A material has a young's modulus of 1.25 × 10³ N/mm² and a poisson's ratio of 0.25. The bulk modulus…
A: As given in question, Young's modulus of material = E = 1.25 x 105 N/mm2 Poisson's ratio = μ = 0.25…
Q: A specimen with the given dimension is loaded as given in the figure below. Determine; a) The…
A: Given Data:- E=300Gpa μ=0.25 To Find:- 1) Stresses in each direction 2) Strains in each direction 3)…
Q: Consider the same truss again here as shown below. Suppose that the cross-sectional area of the…
A: Given Data Cross-sectional area of first element is : A1=200 mm2 Young's modulus is : E1=55…
Q: The figure below is a stress strain curve for an alloy of aluminum at various temperatures. a) What…
A: (a) Draw the line at the Centre between the temperatures 250k and 350k. This line gives line of 298k…
Q: From the figure shown, Material 1 (brown) is enclosed inside Material 2 (grey). If there would be a…
A: Given:P=357.5 KND=88.75 mmμ=0.355E=88.56*109 Pa
Q: The Roman method for addressing uncertainty in design was to build a copy of a design that was…
A: Given Simply supported, rectangle cross section beam with a concentrated load, F. Crosssection of…
Q: S A round steel alloy bar with a diameter of 19 mm and a gauge length of 76 mm was subjected to…
A: Given data:- Original length, L=76mm Original diameter, d=19mm ⇒Original area,…
Q: A circular rod and a 0.1-in.-thick rectangular bar are both made of a plastic material that has an…
A:
Q: Two wires of equal lengths, one Aluminum, and the other steel, were stretched the same amount under…
A:
Q: c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…
A: Given Data The daimeter of truss tie rod is:d=9.52 mm The length is:l=1.75 m The stress experienced…
Q: Two exactly similar wires, one of steel and the other of copper, are stretched by equal force. if…
A:
Q: 4) Express very briefly why the first region (Primary Creep) in Strain-Time creep diagram can be a…
A: As per our guidelines, experts can provide solution to only one problem in case of multiple…
Q: When a brass rod of diameter 2 mm is subjected to a tension of Sx10 N, the diameter changes by…
A:
Q: A force P = 1 KN applied to a right bar suspended by three wires, as shown below. all wires are of…
A: Given data as per question Force (p) =1 KN Area of each wire =80 mm2 E =200 Gpa Length of wire =4…
Q: A compressive force was applied in the longitudinal direction of a cross-sectional bar ( A= 10 cm²)…
A:
Q: 1.6-7/ A wire of length L 4 ft and diameter d-0.125 in. is stretched by tensile forces P = 600 lb.…
A:
Q: Two wires of equal lengths, one Aluminum, and the other steel, were stretched the same amount under…
A:
Q: hand written plz i'll upvote Shown in the figures (1) and (2) are trusses containing members that…
A: To choose: The correct option. Given: The modulus of elasticity of material of the members are same…
Q: An elastoplastic material with strain hardening has the stress-strain relation- ship shown in Figure…
A: Given Data Stress at yield point is : σy=600 MPa Strain at yield point is :εy=0.003 m/m Now…
Q: حسابها 1.Modules of elasticity 2. Elastic stress 3. Yield stress 4. Yield strain 5. Ultimate tensile…
A: given:
Q: A polypropylene has the following tensile creep compliance measured at 40 °C: D(t) = 1.2 x tº.1…
A: The strain associated to the propylene can be calculated using the formula given below as- ε=D×σavg…
Q: The nodal coordinates and the nodal displacements for some plane stress elastic element is listed in…
A:
Q: c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…
A:
Q: A steel bar with the dimensions and cross section shown is suspended vertically. Three concentric…
A: The change in length due to 22250 N force is ∆L1=PLAE=22250×1+0.65+0.356.5×10-4×210×109=3.26×10-4 m…
Q: P 5:49 docs.google.com a 69% * ZAIN IQ li. in the figure shown below is the creep graph of an…
A: Stress is proportional to strain within the elastic limit. Stress is equal to force per unit area of…
Q: 3. Refer to the graph below, a. Which material is stronger? Why? 400 350 300 Steel 250 200 Aluminium…
A: a) The material which has greater yield strength or which require more stress to cause the plastic…
Q: A 0.625 in. thick rectangular alloy bar is subjected to a tensile load P by pins at A and B as shown…
A: Data given - Thickness = 0.625 in w = 2.00 inch εx = 1,140 mε = 1140 × 10-3 ε ε y = −315 mε P…
Q: You are looking to buy a bracket to hang home decors during holidays. At the store, you stumble onto…
A: Given data The area of cross-section of each member is A and material is same both bracket To…
Q: Example 2.12 An elastic rubber band is B, attached to points A and B. |3'm 2 m. Determine its length…
A:
Q: Consider a cylindrical specimen of a steel alloy (see figure below) 15.0 mm in diameter and 75 mm…
A: Given:d=15 mmL=75 mmP=20,000 N
Q: From the figure shown, Material 1 (brown) is enclosed inside Material 2 (grey). If there would be a…
A: Given:P=357.5 KNd=88.75 mmμ=0.355E=88.56*109 N/m2
Q: 10. A steel bar of (E) modules of elasticity, is subjected to various end conditions shown in…
A: GivenSteel bar as shown below
Q: In lab tests on a brick whose dimension are shown in the figure to the right, a force of 1500 N…
A:
Q: The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a…
A: Given, Diameter of the rod , d= 16 mm Length of the rod , L =1.75 m Youngs modulus , E =250 GPa…
Q: . Consider a steel alloy having the stress-strain diagram shown in the figure below: 1. Determine…
A: (As per policy experts are allowed to answer only one question (first one), for the remaining please…
Q: A bar of length 9.1 m is made of a structural steel having the stress-strain diagram shown in the…
A:
Q: The ratio of modulus of rigidity to bulk modulus for a Poisson's ratio of 0.25 would be: (а) 2/3 (с)…
A: Given, Poisson's ratio = μ = 0.25 From the relation between Young's modulus and Modulus of…
Q: The Poisson ratio formula for an auxetic structure given in the figure is given as follows: H = 8…
A: H = 8 cm L = 4 cm α = 50 ° t = 5 mm To find: a) Calculate the strain on the Z axis of the…
Q: 1.6-7 A wire of length L = 2.5 m and diameter d = 1.6 mm is stretched by tensile forces P = 600 N.…
A: We can answer up to 3 sub-parts so we will answer first 3 sub-parts. Please resubmit the question by…
Q: Figure Q1 shows the stress strain curves of six (6) samples. SIx 12 80 70 10 60 В * 50 40 D 30 20 E…
A:
Q: The figure below shows the stress strain diagram of a cortical bone, with initially rectangular…
A: As per our company policy we are asked to solve 3 sub-parts of a question.. Please post rest parts…
Q: A single ply of a certain graphite-epoxy composite with fiber oriented at 60° is in a planer state…
A: INTRODUCTION: The principal place is considered where the principal stress is acting and the…
Q: The following figure represents the stress-strain behavior of 4 different materials with the same…
A:
Q: 2. The diameter of a bar fabricated from an alloy with properties show n in figure below reduced…
A: Find the original cross sectional area of the bar using the initial diameter. Ao=π4do2=π41.22=0.36π…
Q: of length lo = 5.0 m and stiffness k= 50 N/m is inside 13. A ight a fixed box with a small portion…
A: The initial length of the chord, lo = 5.0 m The stiffness of the chord, k = 50 N/m The length of the…
Q: The stress-strain curve for four materials are shown in figure below. Which material (A/B/C/D) has с…
A: Answers are as follows: 1. Material D (Least slope of a straight line in the stress-strain diagram)…
Q: hand written plz Shown in the figures (1) and (2) are trusses containing members that are made of…
A: To choose: The correct option. Given: The modulus of elasticity of material of the members are same…
Step by step
Solved in 2 steps with 2 images
- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?Solve the preceding problem for an aluminum plate with h = 10 in.. i = 0.75 in., E = 10,600 ksi, v = 0.33. P = 96 kips. Pt,. = 24 kips. and V =18 kips. For part (b) of Problem 7.5-12, assume that the required strain energy stored is 640 in.-lb. In part (c). the change in volume cannot exceed 0.05%.An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
- On the surface of a structural component in a space vehicle, the strains arc monitored by means of three strain gages arranged as shown in the figure. During a certain maneuver, the following strains were recorded: e, = 1100 X l0_6, 6h = 200 X lO_6, and e = 200 X 10-6. Determine the principal strains and principal stresses in the material. which is a magnesium alloy for which E = 6000 ksi and v = 0.35. Show the princ ipal strains and principal stresses on sketches of properly oriented elements.The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?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 bar with a circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the bar is L/2T and the modulus of elasticity of the material is E. (a) Obtain a formula for the strain energy U of the bar due to the load P. (b) Calculate the strain energy if the load P = 27 kN, the length L = 600 mm, the diameter d = 40 mm, and the material is brass with E = 105 GPa.- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?Solve the preceding problem if the cross- sectional dimensions are b = 1.5 in. and h = 5.0 in., the gage angle is ß = 750, the measured strains are = 209 × 10-6 and B = -110 × 10, and the material is a magnesium alloy with modulus E = 6.0 X 106 psi and Poisson’s ratio v = 0.35.
- A bungee cord that behaves linearly elastically has an unstressed length L0= 760 mm and a stiffness k = 140 N/m. The cord is attached to two pegs, distance/? = 380 mm apart, and is pulled at its midpoint by a Force P = 80 N (see figure). (a) How much strain energy U is stored in the cord? (b) What is the displacement Scof the point where the load is applied? (c) Compare the strain energy (with the quantity PSC12. Note: The elongation of the cord is not small compared lo its original length.A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?7.5-11 in. cube of concrete (E = 4.5 X 106 psi. v = 0.2) is compressed in biaxial stress by means of a framework that is loaded as shown in the figure. Assuming that each load F equals 25 kips. determine the change iv in the volume of the cube and the strain energy U stored in the cube.