For the figure shown below, determine the stress developed in members BD, CD and CE when the diameter of all members is 50 mm. Select either of the 2 figures (a or b)
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- Q.2 The bar is made of an aluminium alloy having a stress-strain diagram that can be approximated by the straight line segment shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is E max = 0.05. 630 560 420 (MPa) 0.006 0.025 0.05 100mm M € (mm/mm) 75mmSituation 2 For the assembly shown, determine the stress in each of the two vertical rods if the temperature rises 40°C after the load P=50 KN is applied. Neglect the deformation and the mass of the horizontal bar AB. Compute the vertical movement under the load. Steel Aluminum E=200 GPa E=70 GPa L-4m A=300 mm? a-11.7x10*/°C L-3m A=900 mm a=23x10“ /°C 3 m 3 m 3 m Situation 35. The rigid bar of negligible weight is supported as shown in figure 5. If W = 80 kN. compute the temperature change of the assembly that will causata tensile stress of 50 MPa in the steel rod. Use the following data: A (mm2) 300 1400 a (C) 11.7x 10+ 18.9x 104 E (GPa) 200 Steel Rod Bronze Rod 83 Figure 5 Bronze 3 m Steei 1.5 m 1.0 m 1.5 m 2.5 m 目
- The rigid bar of negligible weight is supported as shown in the figure. If W = 80 kN, compute the 2 temperature change of the assembly that will cause a tensile stress of 50 MPa in the steel rod. Use the following data: A (in) a (PF) E (GPa) Steel Rod 300 11.7 x 104 200 Bronze Rod 1400 18 x 106 83 Bronze 3 m Steel 1.5 m 1.0 m 2.5 m 1.5 m W3) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5mQ # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.5
- carculate the Youngs modulus for the material of the bar shown below, The bar has an initial length of 400 mm and is measured to extend by 0.22 mm under a tensile load of 75KN, When the force is released the bar returns to its original length. The bar has the rectangular cross-section shown below. (17p) 20 mm 75 kN 75 kN 25 mum 400 mmAn aluminum bar having a cross-sectional area of 160 mm2 carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B1= 0.8 m; B2 = 1.0 m; B3= 0.6 m. Determine the axial load acting on bar B3 in kN. 35KN В1 B2 B3 10KN 15KN 30KNQ1. An aluminum rod is rigidly attached between a steel rod bronze rod as shown in figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will n exceed a stress in steel of 90 MPa, in aluminum of 140 MPa bronze of 120 MPa. Aluminum Вronze A= 300 Steel A=100 A=200 ЗР 2P 5P 2.5m 2.0 m 1.5 m
- 1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600Question 5 [Similar to Problem 9-17] Consider the following figure showing state of stress at a given point in a structural or machine element. Identify normal and shear stresses acting on the element. Find principal stresses. Show the orientation of the element on which the principal stresses act. Find maximum in-plane shear stresses. Find associated normal stresses. Show the orientation of the element on which these stresses act. 150 MPa 50 MPa 100 MPa Moch onios of Motoriols3. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? 2 m -- -1.5 m- 1.5 m 10 Steel A=900 mm2 E=200 GPa L=15 m Bronze A=300 mm2 E= 83 GPa L3D2 m