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 37: A sieel secion havung a Cioss seciion c: 20 mm x 30 mm is subjected to an axial force of 240 KN The steel section has produces a strain of 0.002. If it has a value of Poissons ratio of 0.30.Find the shear modulus a. 76923 MPa b. 73852 MPa C. 78023 MPa d. 80256 MPaPROBLEM 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/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 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 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 mA 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/mm3Question 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 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?