A tapered bar with varying diameter 1.5 d to d is subjected to tensile force of magnitude 1000 N. The Young's modulus of elasticity of the material is E = 160 GPa, length of bar 1 = 2 m, d = 20 mm. The extension caused by tensile load. A 0.026 mm B 0.039 mm C 0.052 mm D 0.043 mm
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- 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 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²Two plate are joint by five rivets of 20 mm diameter. What is the shear stress in the material if the shear forces is 18840 N O 12 N/mm2 O 20 N/mm2 O 15 N/mm2Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-, actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in each component and the applied force P. The moduli of elasticity are 29 × 106 psi for steel and 17 x 10° psi for copper. 0.6 in. 0,75 in. Problem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, 15 in. is heated and shrunk onto a steel cylinder 1500.5 mm in diameter. What is the nor- mal force in the hoop after it has cooleď? Neglect the deformation of the cylinder, and use E == 200 GPa for steel. 0.125 in. Problem 3: The timber member has a cross-sectional area of 1750 mm² and its modulus of elasticity is 12 GPa. Compute the change in the total length of the member after the loads shown are applied. 40 kN 35 kN 20 kN D +1.5 m -3 m 3 m
- 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 What is the axial stress o Ag in Pa? 10KN 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).2.3-7 A steel bar 2.4 m long has a circular cross section of diameter d, = 20 mm over one-half of its length and diam- eter d, = 12 mm over the other half (see figure part a). The modulus of elasticity is E = 205 GPa. (a) How much will the bar elongate under a tensile %3D %3D load P = 22 kN?
- A 16 mm steel bar AB and a 25 mm steel bar BC support a load P = 7,500 N as shown. If E = 200 GPa, Compute the deformations of the steel bars. A B 7,500 N 6.00m C 8.00mQ) The rectangular plate shown in the figure below with dimensions h=20 mm and b=50 mm changes shape symmetrically with respect to the x-axis after in-plane loading. At the same time, point B is displaced in the plane Ab 0.12 mm, Ah = 0.03 mm. After deformation; a) What is the strain in the x-axis direction? b) Find Ecb c) What is the angle of shear between the DG and GH edges? C H. H' B' 2h Ah Ab -Determine the a.Stress at 167 kN loadin MPa b.Strain at 167 kN loadin mm/mm(expressed in scientific notation) c.Modulus of elasticityMPa d.Modulus of resiliencein N-mm/mm3 e.Modulus of toughnessin N-mm/mm3
- Question 2. The square plate ABCD is deformed into the shape shown by the dashed lines. If DC has a normal strain Ex = 0.005, DA has a normal strain ey = 0.004 at D, Yxy = 0.01rad determine the shear strain at point E with respect to the x' and y' axes. 600 mm- 600 mm E DA steel rod with a cross-sectional area of 188 mm2 is stretched between two fixed points. The tensile load at 23°C is 6,332 N. What will be the stress at -15°C ? Assume a = 11.7 x 10-6 m/(m.°C) and E = 198 GPa. Answer must be in MPa.A mild steel bar of square cross-section 40 mm x 40 mm is 400 mm long it is subjected to a longitudinal tensile stress of 440 N/mm² and lateral compressive stress is 200 N/mm² in perpendicular directions. E = 2 x 105 N/mm², μ = 0.3. What is the approximate elongation of the bar in the longitudinal direction?