H.W.2 /The beam shown in figure below. , Determine the maximum tensile bending stress and maximum compressive bending stress developed in the beam .(the dimension of the beam shown below) A В 10 Ib/ft C -20 ft 60 ft- -140 mm- 20 mm 100 mm 20 mm 100 mm-
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- The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/2021A small aluminum alloy [E 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a 165 mm. The cross- sectional dimensions of the tee shape are b 19 mm, d= 29 mm, and t 7 mm, After loads are applied to the beam at B, C, and D,a compressive normal strain of 480 uɛ is measured from a strain gage located at c=5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? 17 P. P. 3P Strain gage D a - H. a b. Answer: ! N P = i 2.For the beam geometry shown, determine the following: a. Cracking moment b. Has the beam section already cracked? c. Determine the bending stresses at the extreme fibers of the beam. Applied moment = 34kN/m fc = 21 MPa As = 1935mm² n=9 250mm 00 400mm 75mm
- 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…Q # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.53) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5m
- 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 mm²Determine the maximum compressive and tensile bending stresses of the beam shown, cross-section of the beam is given belowA small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 125 mm. The cross-sectional dimensions of the tee shape are b= 15 mm, d = 23 mm, and t = 9 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 u is measured from a strain gage located at c = 9 mm below the topmost edge of the tee stem at section 1-1. What is the applied load p?
- A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium layers with cach being 6 mm thick and brazed to a centre steel layer of 5 mm thickness as shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of aluminium and steel are E.= 70 GPa, Es= 200 GPa, respectively, determine: i Whether this structural configuration is statically determinate or statically indeterminate, and clearly explain your reasoning. ii. The normal forces in the aluminium layers and the steel layer i. The normal stress in the aluminium layers and the steel layer. State whether the stresses are in tension or compression iv. Determine the deformation of the assembly Cross section of the bar 6 mm 5 mm 6 mm 30 mm 260 mun Aluminium. Steel- Aluminitum Nא 37 30 mmA small aluminum alloy [E = 73 GPa] teeshape is used as a simply supported beam as shown. For this beam, a = 150 mm. The cross- sectional dimensions of the teeshape are b = 25 mm, d= 38 mm, and t=7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 490cis measured from a strain gage located at c= 9 rmm below the topmost edge of the tee stem at section 1-1. What is the applied load P? 3P Strain gage d a a H Answer: P = iA small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 185 mm. The cross- sectional dimensions of the tee shape are b = 22 mm, d = 33 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 400 µe is measured from a strain gage located at c = 9 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P | V Strain gage d H Answer: P= i 287.77 N 미2