1.(e) The state of plane stress shown occurs at a critical point of a steel machine component. As a result of several tensile tests. It has been found that the tensile yield strength is o, = 250 MPa for the grade of steel used. Determine the factor of safety with respect to yield using (a) the maximum shearing stress criterion, and (b) the maximum distortion energy criterion. ↑Y + 40 MPa 80 MPa 25 MPa
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- A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.The state of plane stress shown occurs at a critical point of a steel machine component. As a result of several tensile tests, it has been found that the tensile yield strength is o, = 250 MPa for the grade of steel used. Determine the factor of safety with respect to yield using (a) the maximum shearing stress criterion, and (b) the maximum distortion energy criterion. ↑y 40 40 MPa 80 MPa 25 MPa ➜X
- A state of plane stress (σ3=0) occurs at a critical point of a mild steel machine component (see Figure 1 below). As a result of several tension tests, it has been found that the tensile yield strength is = 250MPa for the grade of steel used. (a) Determine the factor of safety (FS) with respect to yield using (i) the maximum shear stress criterion and (ii) the maximum distortion energy (von Mises) criterion. (b) Graph the Tresca Hexagon and the von Mises oval for this material and note the location of the given state of plane stress as a point on the graph.Problem 1.5-2 A bar of length 2.0 m is made of a structural stoel having the stres-strain dingram shown in the figure. The yield stresa of the steel is 250 MPa and the slope of the initial lincar part of the stress-strain curve (modulus of elasticity) is 200 GP. The bar is loaded axially until it eklongates 6.5 mm, and then the load is removod. How does the final length of the bar compare with its orig- inal length? Hint: Ue the concepts illustrated in Fig. 1-36h) MP 300 200 100 0.002 0.004 0.006An aluminium wire (E=10,600 ksi) having a diameter d=1/8 inch. and length L=14 ft is subjected to a tensile load P. If the maximum permissible elongation of the wire is 1/6 inch and the allowable stress in tension is 10 ksi, what is the allowable load Pmax? Answer in Ibs
- When designing a structural member, which of the following statements is FALSE? A. The allowable stress is used in calculating the maximum load to be applied. B. The ultimate stress depends on the Factor of Safety used. C. The ultimate stress is determined based on the material used. D. The allowable stress depends on how conservative the design is. Which of the following is NOT a valid reason for increasing the Factor of Safety? A. Higher uncertainty in loading conditions B. Higher design life C. Lower confidence in assumed/stated material properties D. Lower member importance Which of the following occurs when the value of Poisson’s ratio is doubled and the modulus of elasticity is kept constant? a. The lateral deformations experienced by the material is halved b. The volume of the material will remain constant when subjected to external forces c. The elastic region of the shear stress-strain diagram would be less steep d. The material can withstand higher…When designing a structural member, which of the following statements is FALSE? A. The allowable stress is used in calculating the maximum load to be applied. B. The ultimate stress depends on the Factor of Safety used. C. The ultimate stress is determined based on the material used. D. The allowable stress depends on how conservative the design is. Which of the following is NOT a valid reason for increasing the Factor of Safety? A. Higher uncertainty in loading conditions B. Higher design life C. Lower confidence in assumed/stated material properties D. Lower member importance Consider a 1,000-mm long, 25-mm diameter sample subjected to a tension test. Automatic high-precision gages recorded that for an applied load of 150 kN, the sample experienced a longitudinal strain of 2×10−3mm/mm. Assuming that the material remained elastic while loaded, determine its modulus of elasticity. A. 175.0 GPa B. 63.7 GPa C. 152.8 GPa D. 72.9 GPaThe 200-mm square aluminum block supports a compressive load of 300 kN. What is the normal stress acting on section a–a in MPa What is the shearing stress acting on section a–a in MPa The lapbelt assembly is to be subjected to a force of 800 N. What is the required thickness t in mm. of the belt if the allowable tensile stress for the material is 10 MPa?
- The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150 N/mm2, find the diameter of the middle portion and also the length of the middle portion if the total elongation of the rod is to be 0.2mm. the length of the rod is 40 cm. consider the young modulus of a steel.A strip of high-strength steel has a length of 30 cm and a cross section of 1 mm by 20 mm. The modulus of elasticity is 200 GPa and Poison’s ratio is 0.27. It is subjected to an axial load of 15000 N, and it is instrumented with two axial strain gauges with R= 120 Ω and a gauge factor of 2.10. The two fixed resistors are also 120 Ω, and the supply voltage is 2.5 V. The bridge is adjusted to zero voltage output before load is applied. Find the output of the bridge with load applied.The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150 N/mm2, find the diameter of the middle portion and also the length of the middle portion if the total elongation of the rod is to be 0.2mm. consider the young modulus of a steel.