2.1 What is the critical load for a rectangular section bar 40 mm by 50 mm and length 3.0 m when it is: a. Pinned both ends b. Free and fixed The bar is subjected to a compressive load. The modulus of Elasticity is 200 GPa.
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- Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?1. A frame is shown to the right. The link BC is t = 6mm thick (into the page) and has width, w (that is, the cross section of the link is t by w). The link is made of steel, with an ultimate strength of 450 MPa in tension. What is the required width of the link if the frame must support a load of P = 20 kN, with a factor of safety equal to 3. (Hint: BC is a two-force member.) Ans: w = 27.8 mm 600 mm. A 480mm 5 in.3. A steel bar is 900 mm long: its two ends are 40 mm and 30 mm in diameter and the length of each rod is 200 mm. The middle portion of the bar is 15 mm in diameter and 500 mm long. If the bar is subjected to an axial tensile load of 15 kN, find its total ex tension Take E 200 GPa. a. 0.2454 mm b. 0.5162 mm C. 0.3524 mm d. 0.1426 mm
- A bar, 12 mm in diameter is acted upon by an axial load of 20 kN. The change in diameter is measured as 0.03 mm. DeterminePoisson’s ratioYoung’s modulusBulk modulus Assume modulus of rigidity as 80 GPaPlease show the formula used and free body diagram A steel bar 50 mm in diameter and 2 m long is surrounded by a shell of a cast iron 5 mm thick. Compute the load that will compress the combined bar a total of 0.8 mm in the length of 2 m. For steel, E = 200 GPa, and for cast iron, E = 100 GPa.For 10 to 12. The compound bar ABCD has a uniform cross-sectional area of 0.25 in². When the axial force P is applied, the length of the bar is reduced by 0.018 in. The moduli of elasticity are 29 x 106 psi for steel and 10 x 10 psi for aluminum. 18 in. 6 in. 18 in. P. P Steel B C Steel D -Aluminum 10. What is p? 11. What is the total elongation of the two steel sections? 12. What is the elongation of the aluminum section?
- Question 5 of 5 A column with a length of 8 m that is pinned on both ends. The column is made of a steel I- beam whose web is 250 mm by 6 mm thick and flanges are 1,255 mm wide by 9 mm thick. The Modulus of Elasticity for material is 250 GPa. a. Find the Euler Load for this Column. b. If the FS is 2.75, what is the maximum allowable load for this column? Answer using this format: A. GIVEN B. FORMULA C. SOLUTION with unit analysis D. FINAL ANSWERExample 2.20 1.5 m 5 m 1.5 m 10 kN ": ;. A concrete structure is subjected to a 10 kN downward load. Determine the load on the columns. ĮskN skN M-5* 1-5 = 7.5*. m 1.5m skN 7,5 kN. m SKE110 INTRODUCTION TO STRUCTURES 32Q1) A (25mm) square cross-section bar of length (300mm) carries an axial compressive load of (50KN). determine the stress set up in the bar and its change of length when the load is applied - for the bar material. Ans. (E = 200GN/m). (ans. 80 * 106 , 0.12mm) %3D A Q2) A steel tube, (25mm) outside diameter and (12mm) inside diameter, carries an axial tensile load of(40KN). What will be the stress in the bar? What further increase in load is possible if the stress in bar is limited to 225MN/m?
- 2. A steel tube of 5m long ,40mm inner diameter and 80mm outer diameter is used as an euler column. Assuming E=200GPa, find the crippling load of the column when both the ends are hinged.Q1) A (25mm) square cross- section bar of length (300mm) carries an axial compressive load of (50KN). determine the stress set up in the bar and its change of length when the load is applied -for the bar material. Ans. (E = 200GN/m). (ans. 80 * 106 , 0.12mm) %3D A Q2) A steel tube, (25mm) outside diameter and (12mm) inside diameter, carries an axial tensile load of (40KN). What will be the stress in the bar? What further increase in load is possible if the stress in bar is limited to 225MN/m? Q3 A (25mm) diameter bar is subjected to an axial load of (100KN). under the action of tis load a(200mm) gage length is found to extend (0.19*10 mm). determine the modulus of elasticity for the bar material. Ans.(E = 210GN/m) %3D1. A steel rod with a cross sectional area of 150 sq.mm is stretched between two fixed points. The tensile load at 20 deg C is 5000 N. At what temperature will the stress be zero. Assume a=11.7μm/m - degC and E=200GPa