For the figure shown, if the temperature dropped by 40 °C in the aluminum ........ rod, then the stress in the steel rod is 0.75m 0175m x * 2.
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- Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .Problem #5 Consider the aluminum alloy bar with Kic=30 MPa vm, ay=500 MPa. Can you use the LEFM? Explain. 0.375 0.50 P 2.0 1. Units in cm Thickness = 0.75 cmExercise: 1. Determine the stress in each section of the bar shown in the below figure when subjected to a tensile load of 20 kN. The central section is 30 mm square cross section; the other portions are of circular section, their diameters being indicated. What will be the total extension of the bar? For the bar material 210 GN/m² t100 250 400 20 kN 20 kN 15 20 30 2. Calculate the spring constant of a spring that needs a force of 3N to be compressed from 40cm to 35cm
- A steel bar of 8 mm is heated from 10° C to 25° Cand the bar is free to expand. The bar will induce Tensile stress No stress Compressive stress Shear stressAL: 1₂ The above figure (not drawn to scale) shows a rod made up of two cylindrical sections of the same material. The left cylinder has diameter d, = 30mm and length 4 = 150mm. The right cylinder has diameter dy=10mm and length = 150mm. The rod is subjected to a force F = 50KN. Find the total extension in the rod, AL, given that E = 203kN/mm². Enter your answer in mm to 5 decimal places in the box below: mm -FQ2) An external ocompressive load of 900 kN is applied on compound bar consists of three bronze bars and two steel bars at a temperature 40C°, each bar of 50 cm? cross-section area . Find (A) the temperature, at which the stress in the one bar will be zero and (B) the stress in the another bars. Assume all of the bars are of equal lengths. The coefficient of linear expansion per C° is 12x10-6 for steel and 18x10-6 for bronze. E for steel = 200 GN/m2. E for bronze = 100 GN/m? Add file
- A long, flat steel bar 260mm wide and 35mm thick has a circular hole 50mm in diameter, centrally located. The allowable tensile stress for the steel is 160Mpa. Calculate the axial tensile load that may be applied to the bar. TO D 3.0 (a) 2r Circular hole (b) Semicircular grooves (c) Fillets 2.8 2.6 2.4 Circular hole 2.2 II 2.0 1.8 Fillets Semicircular grooves II 1.6 1.4 1.2 1.0 0.2 0.3 0.4 0.5 rld 0.1 0.6 0.7 0.8 0.9 1.0Q // The mechanism shown in the figure below has 0.02 in. gap at 80 Fahrenheit degree, find (a) the temperature at which the normal stress in the aluminum bar will be equal to 12 ksi (compression), (b) the corresponding final length of the aluminum bar. 0.02 in. -16 in - 20 in Bronze A- 24 in E- 15 x 10 psi a - 12 x 10-°F Aluminum A-2.8 in E - 11 x 10 psi a- 13 x 10-°FThe rigid beam is supported by two vertical steel bars loaded by a vertical force whose cross sectional area is 11,000sq.mm for the longer bar and 9280sq.mm for the shorter bar. Both bars have their temperature raised by 60°C, what are the tensile forces in the bars. 1m 5m L=1.5m 2.5m L=1m
- Figure 1 shows a system of three bars each made of different materials, and connected together and the temperature is initially kept at 12°C. Thereafter, the temperature of the system was raised to 50°C. Steelbno abm Est = 200 GPa Epr = 100 GPa ag = 12(10-)/°C abr = Brass Сopper Ecu 120 GPa %3D 21(10-6)/°C acu = 17(10-6)/°C %3D %3D Acu = 515 mm? Ast = 200 mm? Abr = 450 mm² - 300 mm- -200 mm 100 mm Figure 1: An assembly of three bars 1.1. Determine the thermal stress raising in each bar if the assembly is placed between two rigid walls. 1.2. Determine the force exerted on the right rigid support if an allowance of 0.05 mm is provided between the left end of the steel bar and the left wall.Q1: An Iron bar has a length of 50 m when the temperature is (-20 "C) .what is the length of the bar in a summer day when the temperature is (38 C) ?Calculate the thermal stress set up in the bar on summer day.a=12 x10 C ,E=25x10 Pa.Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video. If load P = 23.5 kips, determine the normal force in bar (1). A 6 ft 49.9 kips 39.2 kips 41.5 kips 31.9 kips 23.7 kips D B (1) 4 ft P