3) Referring to the plot below, a steel bar with a radius of 0.2523-inch exposes to 650°C. If the expected lifetime of the iron bar is 9 years, what is the maximum load allowed to carry? (
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- The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?A W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
- Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?On the surface of a structural component in a space vehicle, the strains arc monitored by means of three strain gages arranged as shown in the figure. During a certain maneuver, the following strains were recorded: e, = 1100 X l0_6, 6h = 200 X lO_6, and e = 200 X 10-6. Determine the principal strains and principal stresses in the material. which is a magnesium alloy for which E = 6000 ksi and v = 0.35. Show the princ ipal strains and principal stresses on sketches of properly oriented elements.
- A 0.013 m diameter, 0.5 m long cylindrical metal bar is subjected to a compressive force of 8,500 N. This load does not exceed the yield strength of the material. Determine its diameter under this load. You will need some of the following properties of the metal to solve the problem: modulus of elasticity = 207 GPa, Poisson’s ratio = 0.30, yield strength = 180 MPa, tensile strength = 380 MPa, ductility = 23% elongation.A steel column is a cylinder 6.8 m long and 0.35 m in diameter. What is the change in length of the column when it experiences a tensile stress resulting from the application of a 3600 N force? The elastic modulus for steel is 20 × 1010 Nm2/kg2. ΔL = mYoung's modulus of elasticity and Poisson's ratio of a material are 1.25 × 10^5 MPa and 0.34 respectively. The modulus of rigidity of the material is: (a) 0.4025 x 10^5 MPa (c) 0.8375 x 10^5 MPa (b) 0.4664 × 10^5 MPa (d) 0.9469 × 10^5 MPa.
- A straight bar of uniform cross sectionis tested in tension. The bar's cross sectional is 6.5 square centimeters and a length of 4 m. When the tensile load reaches 85kN, the total elongation is 2.5mm. What is the stress and the modulus of elasticity of the bar?A tensile test is conducted on a mild steel bar. The following data was obtained from the test : diameter of the steel bar= 3cm, Gauge Length of the bar = 20cm, Load at Elastic limit= 250kN, Extension at a load of 150kN= 0.21 mm, Maximum Load = 380kN, Total Extension= 60mm, Diameter of the rod at failure=2.25cm, determine young's modulus?The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mmdiameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stressstrain diagram determine the followings properties of the material (Poisson’s ratio of the material is 0.32) : a) Modulus of elasticityb) Yield strengthc) Toughnessd) Resiliencee) Shear modulusf) Bulk modulusg) Ductility as described bypercent change in length