The cantilever beam shown is an aluminum pipe that has an outside diameter of 114 mm and an inside diameter of 97.3 mm. A moment of 3 kN-m is applied at the free end. Find the rotation at the free end of the pipe. Neglect the weight of the pipe. M = 3 KN.m 2m Mod. of Mod. of Coet. of Thermal Expansion a Peisson's Elasticity Rigidity Density Ultimate Strength MPa Tensile Yield MPa x 10 Strength F, MPa Ratio x 10 x 10 Tens. Comp. Shear * 10 Material Steel ASTM A6 or AS01 785 207 83 250 400 11.7 0.25 185 Steel (high-strength low-alloy) ASTM A992 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 785 207 79.3 210 380 11.7 0.25 Steel ASI 1040 785 207 79.3 290 520 11.7 0.25 hot-rolled Stainless steel (annealed) 200 80 280 580 410 11.7 0.25 Cast iron gray) 721 103 41 140 550 220 10.6 0.26 Aluminum aloy 6061-16 2.64 70 28 240 260 190 23.6 0.33 Magnesium aloy 1.794 45 17 210 280 140 26.1 0.34 Titanium aloy 4.40 114 45 900 970 690 9.7 Inside Diameter Nominal Outside Diameter Wall Thickness Diameter Mass kg/m mm 10 mm 10' mm mm mm mm Standard Weight 51 60.50 525 3.91 544 658 0.261 8.65 20.1 102 114.00 102 6.02 16.10 1910 284 49.7 38.4

The cantilever beam shown is an aluminum pipe that has an outside diameter of 114 mm and an inside diameter of 97.3 mm. A moment of 3 kN-m is applied at the free end. Find the rotation at the free end of the pipe. Neglect the weight of the pipe. M = 3 KN.m 2m Mod. of Mod. of Coet. of Thermal Expansion a Peisson's Elasticity Rigidity Density Ultimate Strength MPa Tensile Yield MPa x 10 Strength F, MPa Ratio x 10 x 10 Tens. Comp. Shear * 10 Material Steel ASTM A6 or AS01 785 207 83 250 400 11.7 0.25 185 Steel (high-strength low-alloy) ASTM A992 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 785 207 79.3 210 380 11.7 0.25 Steel ASI 1040 785 207 79.3 290 520 11.7 0.25 hot-rolled Stainless steel (annealed) 200 80 280 580 410 11.7 0.25 Cast iron gray) 721 103 41 140 550 220 10.6 0.26 Aluminum aloy 6061-16 2.64 70 28 240 260 190 23.6 0.33 Magnesium aloy 1.794 45 17 210 280 140 26.1 0.34 Titanium aloy 4.40 114 45 900 970 690 9.7 Inside Diameter Nominal Outside Diameter Wall Thickness Diameter Mass kg/m mm 10 mm 10' mm mm mm mm Standard Weight 51 60.50 525 3.91 544 658 0.261 8.65 20.1 102 114.00 102 6.02 16.10 1910 284 49.7 38.4

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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