Determine the elastic section modulus (Sx) and plastic section modulus (Zx) of the following sections. Consider Homogenous Sections. 009 400 000
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- Two T-shape sections are welded together to create a composite l-beam section as shown below. Determine the safely uniform load w (kN/m) that the beam can carry throughout its entire span. 270mm 30mm 20mm 160mm Welded Joint 130mm 30mm 135mm Beam Length = 4 m Consider the following stresses: fb(T) 3 125 МPа fb(C) = 130 MPa x at the welded joint = 20 MPa Find: 1. The Neutral Axis from the base 2. moment of inertia with respect to the horizontal centroidal axis 3. Q at the welded joint 4. Considering the maximum flexural stress in tension, WNAX is equal to KN/m. 5. Considering the maximum flexural stress in compression, WMAX, is equal to 6. Considering the stress at the welded joint, wMex is equal to kN/m.The modulus of elasticity of mild steel is equal to .. .? .... .. a. 2 x 10ʻN/m? a. 2 x 10'N/m 2 b. 2 x 10° N/m 4 c. 2 x 10 N/mm 5 d. 2 x 10 N/mm CheckCalculate the axial deformation of the Brass cylinder section (BC) shown in Figure 8. The cross-sectional areas are Asteel = 80 x 10-³ m² and ABrass = 50 x 10-³ m², and Young's modulus - of steel and brass are 200 MPa and 120 MPa. 100 kN (a) 3.13 mm (b) 7.25 mm (c) 7.5 mm (d) 3.5 mm Steel 50 kN 0.5 m B Brass 0.3 m C Figure 8. A shaft of different diameters Steel 0.5 m Ꭰ 150 kN
- Compute the value the shear modulus G of steel whose modulus of elasticity E is 200 GPa and poisson's ratio is 0.30.Determine the following: Displacement of B (in mm) with respect to A. Displacement of C (in mm) with respect to A. Principal stresses at point O, if it is 200mm from C. (unit should be kPa). A-36 steel with the following properties: Modulus of Elasticity, E = 29x10^3 ksi or 200 GPa Shear Modulus/Modulus of Rigidity, G = 11.5x10^3 ksi or 79.3 GPa Poisson's Ratio, nu = 0.260 Temperature Coefficient for thermal expansion, a = 6.6x10^-6/°F or 11.7x10^-6/°CGetting measurements from Figure , determine approximate values of the following items for steel with different carbon contents. Use one system of units only as specified by the instructor.a. Yield stressb. Ultimate strengthc. Strain at failured. Effect on modulus of elasticitye. Approximate toughness. Curves may be approximated with a series of straight lines.f. Comment on the effect of increasing carbon content on items a through e above.
- The rubber band given below is subjected to the following tensile loading. Calculate the minimum thickness of the rubber (tr) and the minimum steel pin diameter (Dpin) so that the structure does not fail. Consider: Allowable tensile strength of the rubber= 20MPa Allowable shear strength of the steel = 200MPa Reflection: 1) How would you solve this problem if a Factor of Safety was given? 2) Are there any other dimensions worth calculating for the rubber belt?(40 How A Rismatic steel bar of a Square cro ss section (looxlo0)mm is loaoled by Compressive force P= 1300 K, the bar has length 2.5 m, Eg=200GPay V=0.3,determine the shortening 8, the increase in the dimensions of cross Section, the change in Volume DV of the bar? loomm loommQ2) Layers of Brass, Steel and Aluminum are bonded together and formed section shown below. Cantilever beam is loaded at the tip with 50 kN. In the cross section height of brass is 50 mm, height of the steel is 350 mm and height of the aluminum is 100 mm. Modulus of elasticity for the materials are given as; Brass, Ebr= 105 GPa, Steel, Est = 200 GPa and Aluminum, Eal = 70 GPa. Find the maximum axial stresses under given loading for Brass, Steel and Aluminum, separately. Brass 50 kN 500 mm 50 mm Steel 350 mm Steel Aluminum 100 mm Aluminum Cross Section of the -4 m Beam Fixed Side view of the Beam Support
- 5. 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 2PP = 8kN. Using N = 3, determine the allowable stress for A501 grade steel. Calculate the dimensions (to 1 decimal place) of a square rod. L = 5.9m. Calculate the deformation (6) and the strain (€).The cross-sectional area of an aluminum bar is 170 mm?. It carries an axial loads at the positions as shown in the figure. Compute the total deformation of the bar if E = 80 Gpa. Assume the bar is suitably braced to prevent buckling. Add "9" in the loads only. Example: 40+9=49, 18+9=27, 42+9=51, 20+9=29 Area = 170mm' 2 40KN 18KN 20KN 42KN 1.0m 1.80m 0.70m