Q4: The composite section For the beam shown is subjected to sagging bending moment of 100KN.m, Determine the maximum tension and compressive stress in each material where Es/E, 20. 10mm wood 220mm 20mm 10 steel 130 10
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- A composite bar is rigidly attached to the wall at A as shown in the figure. Axial loads are applied at the positions indicated. 3 m 2.5 m C 1200 kN 900 kN 80mmØ 100mmØ E = 83 GPa Bronze E = 200 GPa Steel Which of the following most nearly gives the deformation of C? a. -0.7855 mm О Ъ. +0.8575 mm c. +0.7855 mm o d. - о.8575 mmHomework 8: A (20°C) a rigid beam in placed upon the rods shown in figure: 1) Determine the magnitude of uniformly distributed load w (kN/m) so that beam remains horizontal when temperature of steel becomes to (100°C). 2) Find the stress developed in each rod. Steel A, = 1000mm², as = 12 * 10-6 , E, = 200GPA, L = 500mm %3D %3D Aluminum Aal 1500mm2, aal = 23 * 10-6 , Eal = 70GPA, L = 300mm %3| Rigid beam w (kN /m) A C steel Aluminum 3m 3m(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 loomm
- PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN. 0.8m 0.4m B 5KN 0.6m Al 20KN Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²
- 1. Find the properties of equal-leg angle bar 150 x 50 x 6.0 in metric. 2. Find the full section properties of LC shapes steel bar 100 x 50 x 15 x 3.0 in metric. 3. A stress that lies between the proportional limit and the upper yield point of a steel. What is 5 and 5 Show the relationship uring a graph of mild structural stoolCalculate 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 kN40-mm sides glass polymer fibers composite cube shown in Figure.2. The Glass polymer fibers aligned in the xdirection. The cube is constrained against deformations in the ? and ? directions and is subjected to a tensile loadof 60 ?? in the x direction. Estimate the strain, change in length and stresses in ?, ?, and ? directions as well asdetermine the volumetric strain. Illustrate the effect of three-dimensional strain by constructing appropriatesketches (before and after deformation for both cube and fibers, assume the fibers have radius of ?). Repeat theanalysis for lower value of tensile load and higher value in the range of [20 -100 KN] and comment on the overallresults. What will happen if the force is compression.
- Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m 4 m -2.4 m· -x X- TABLE B-3 Properties of I-Beam Sections (S-Shapes): SI Units Flange Axis Y-Y Web X-X spxy Mass Area Width ıdə (wu) Thickness thickness Pl1 = S (10³ mm³) yli^ = 4 (10° mm*) (u) 27.7 27.7 22.1 Designation (10° mm*) (ww) 20.3 (ww) 38.9 („ww) (ww) (ww) 081 158 006 77 622 622 204 1 320 1 220 081 x 019S 4 230 240 34.5 338 × 158 x 149 x 134 007 184 15.7 3930 3 260 247 O'ZE 19.7 320 001 07 6'6E 32.3 006 81 00 I 15 200 149 6'81 15.9 166 937 677 234 019 215 134 181 22.1 090 € 2870 019 18.6 205 33.0 611 22.1 12.7 874 241 17.5 197 61I x 34.0 019 S510 × 143 143 18 200 16300 14 200 12 500 91S 91S 183 23.4 23.4 20.2 20.3 16.8 S69 653 2 700 20.8 228 x 128 x 112 × 98.2 128 112 33.8 34.5 29.5 179 961 2 540 007 194 19.4 80s 508 216 152 162 16.1 533 001 7 1950 12.3 98.2 20.2 12.8 495 6SI 11.4 144 30.2 661 S460 × 104 104 13 200 457 6SI…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 0.70m1. Shown is a composite plate joined together by rivets. The components consist of two tension bar plates that is % X 4 inch and riveted together by two splice plates which is 0.8 X 6 inch. Each rivet has a diameter of 25.4 mm. Considering that the allowable stress for the tension bar plates and splice plates is o=20.0 ksi, the allowable shear stress for the rivets is o=25.0 ksi and the allowable bearing stress on the rivets and splice plates is o=25.0 ksi. What will be the maximum permissible load P such that none of the allowable stresses will be exceeded? Splice Plates a-0.75 in Bar Lc =0.80 in. Bar P d = 1.0 in. b=4.0 in. Rivets 'e = 6.0 in.