A Steel 1.0 m A = 480 mm? 3P Bronze 2 m A = 650 mm2 |C 2P
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- 4.1 The aluminum rod AB (Gal = 27 GPa) is bonded to the brass rod BD (Gbr = 39 GPa). The portion CD of the brass rod is hollow and has an inner diameter of 40 mm. If the allowable shear stresses for the aluminum and brass are 90 MPa and 70 MPa, respectively, and the allowable angle of twist of the free end A is 6 degrees, determine the maximum permissible value of T.A flexural member is fabricated from two flange plate ½ x 7 ½ and a web plate 3/8 x 17. The yield stress of the steel is 50ksi.a. Find the plastic section modulus Z and the plastic moment Mp with respect to the major principal axis.b. Compute the elastic section modulus S and the yield moment My with respect to the major principal axis.Find the moment of resistance of the section. The permissible stresses are 10 N/mm2 in tension and 16 N/mm2 in compression.
- Determine the largest weight W that can be supported by the two wires AB and AC. The allowable working stresses are 180 MPa for AC and 120 MPa for AB. The cross-sectional area of AB is 500 mm2 and that of AC is 300 mm2. Show the solution. Correct answer is 60.23kNA flexural member is fabricated from two flange plates 1/2x16 and a web plate 1/4x20, thusforming a built-up ‘I’ shape member. The yield stress of the steel is 50 ksi.a. Compute the plastic section modulus Z and the plastic moment Mp with respect to the majoraxis.b. Compute the section modulus S and the plastic moment My with respect to the major axisThe light rigid bar ABCD as shown is pinned at B and connected to two vertical rods. Assuming that the bar was initially horizontal and the rods stress-free, determine the allowable load P if the stresses are not to exceed 60 MPa and 150 MPa in the aluminium and steel, respectively.
- The aluminum rod AB (Gal = 27 GPa) is bonded to the brass rod BD (Gbr = 39 GPa). The portion CD of the brass rod is hollow and has an inner diameter of 40 mm. If the allowable shear stresses for the aluminum and brass are 90 MPa and 70 MPa, respectively, and the allowable angle of twist of the free end A is 6 degrees, determine the maximum permissible value of T. Please show your complete handwritten solution. Thank youthe temperature of the rigid bar is -45 degrees celsius. A close fit exists at both of the rigid supports when the temperature is 24 degrees celsius. E= 101 GPa and Coefficient of thermal expansion is 11.7 x 10^-6 per degrees Celsius. Determine the stresses for each segmentA W 12 X 35 steel cantilever beam is subjectedto an axial load P =10 kips and a transverse loadV =15 kips. The beam has length L = 6 ft. (a) Calculatethe principal normal stresses and the maximumshear stress for an element located at C near the fixedsupport. Neglect the weight of the beam. (b) Repeat Parta for point D which is 4 in. above point C (see figure).See Table F-1(a), Appendix F, for beam properties.
- The axial assembly consists of a solid 1.05-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.29, 12.3 × 10−6/°F] rod (1) and a solid 1.4-in.-diameter bronze [E = 13300 ksi, v = 0.22, 9 × 10–6/°F] rod (2). Assume L1=17 in., L2=24 in. If the supports at A and C are rigid and the assembly is stress free at 10°F, determine: (a) the normal stresses , in both rods at 162°F (positive if tensile, negative if compressive). (b) the displacement uB of flange B (positive if to the right, negative to the left). (c) the change in diameter of the aluminum rod.The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free at 0 °F. If the temperature is dropped to -40°F and the 20-kip load is then applied, determine the stress in each steel rod at A and C. Use E = 29x10^6 psi and x = 6.5 x 10^-6/ F for steel.The state of strain at point A on the bracket is measured using the strain rosette shown inFigure. Due to the loadings, the readings from the gauges give εa=3x10^-4, εb= -5x10^-4, εc= 4x10^-4. Take the modulus of elasticity as E= 200 GPa and Poisson ratio as ν = 0.3. a.)Determine principal elongation rates and Draw the Mohr’s circle. b.) Determine the principal stresses