For the cross-section shown below, use fe = 4500 psi and fy = 70 ksi, and compute the following: a) The moment of inertia of the gross section, I, b) The moment of inertia of the cracked cross-section, Ier c) The cracking moment, Mer 3" 6" 3" 6" 3"
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- 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 data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²
- PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN. 0.8m 0.4m B 5KN 0.6m Al 20KN Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?3. Calculate the cracking moment Mcr, and the ultimate moment Mu = ÞM, for the following cross section: fé = 5 ksi fy 21" 60 ksi 3# 8 3" nミ8 1411The 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
- Problem 1: Determine the cracking moment for the following beam sections shown if f 'c = 28 MPa. wwww w 400 mm 800 mm 5-25 mm [ 60 mm 600 mm1.(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 MPaAn aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm? A = 400mm? A - 200mm 40KN 10KN 20KN 2.5m 2.0m 1.5m
- A uniform bar 1 is connected to a tapered rod 2. Both are subjected to aodal loads as shown. If P-7 IN, Determine the total aodal deformation (in mm). Indicate negative sign f comoression. @ 5P O 3P E-200 6P 30 mm emm 80 mm 30 mn 30 mmPROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m 10KN 0.8m 0.4m 5KN 0.6m What is the deformation 8Rc in mm? Al 20KN A=800 mm? A=1,200 mm²