= 58 ksi and using a factor of Two W4 × 13 rolled sections are welded together as shown. Knowing that for the steel alloy used safety of 2.3, determine the largest couple that can be applied when the assembly is bent about the z axis. ༅། The largest couple that can be applied is kip-in.
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- A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.The assembly is used to support a 10 kN point load at the tip as shown. The steel rod has a diameter of 12 mm, and the steel pins each have a diameter of 8 mm. The wooden bar ABC has a height of 100 mm and a thickness of 40 mm. Taking yield stress in tension and shear for steel of oy=480 MPa and ty=270 MPa, respectively, and tensile strength of 17 MPa for the wood, determine (a) The factor of safety of the steel rod BC (b) The factor of safety of pins at B and C (c) The factor of safety of the wooden bar ABC (d) The bearing stress at pin A. Steel rad. 1 n dis 1.5. Waed inber 100 me5. A bronze bar is fastened between a steel bar and an aluminum bar as shown in Figure 5. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. Steel A = 480 mm² 1.0 m Bronze A = 650 mm² 3P 4P 2.0 m FIGURE 5 Aluminum A = 320 mm² 1.5 m 2P
- Situation No. 2 A bronze bar is fastened between a steel bar and an aluminum bar as shown below. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. Bronze Steel A = 480 mm? Aluminum A = 650 mm A = 320 mm 3P 4P 2P 1.0 m 2.0 m 1.5 mUsing A992 steel, and the plastic theory, determine thevalue of Wn as indicated.Determine the stress and total load on each stringers if the web is negligible. Estainless steel = 28000 ksi, Esteel = 29000 ksi, EMagnesium = 6500 ksi, EAlum. Ally = 10500 ksi 6" Steel 10 .10 a Stainless Steel My = 5000"# 10" Mx = 10000"# Magnesium .1 Alloy Area of Each 10 Alum. Alloy Stringer = 1 sq. in. 4"
- Problem 2: A bronze bar is fastened between a steel bar and an aluminum bar as shown. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. Steel Bronze 480 mm² 650 mm² 3P 1.0 m 4P 2.0 m Aluminum 320 mm² 1.5 m 2PA brass (? =5.6 ? 10^6 ???) and aluminum (? = 3.7 ? 10^6 ???) cylinders are bonded together at B, and are attached to fixed supports A and C. Determine (a) The torsion in AB, (b) The torsion in BC, (c) The maximum shearing stress in AB (d) The maximum shearing stress in BC.For the built-up shape shown, determine:A) the elastic section modulus and the yield moment (b) the plastic section modulus and the plastic moment Mp.Bending is about the x-axis, and the steel is A572 Grade 50. Fy = 345 MPa
- determine: (a) the elastic section modulus and the yield moment. (b) the plastic section modulus and the plastic moment Mp. Bending is about the x-axis, and the steel is A572 Grade 50. Fy = 345 MPa Subject: Civil Engineering Steel DesignThe 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (ay) MPa, and for the bronze (ay)or 520 MPa, determine the magnitude of the largest elastic load P 640 that can be applied to the assembly. E 200 GPa, Ebr= 100 GPa. 10 mm 20 mm Figure 2: Steel BoltRigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 14300 ksi, a = 8.4 x 10-6/°F] bar with a cross-sectional area of 1.75 in.². Bar (2) is a 42-in.-long aluminum alloy [E = 10200 ksi, a = 11.9 × 10-6/°F] bar with a cross-sectional area of 2.00 in.². Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=38 in., b=52 in., and c=16 in. If a concentrated load of P = 33 kips is applied to the rigid bar at D and the temperature is decreased by 85°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) A B a (1) L₁ b C L2 D