A built-up section is composed of two (2) channels and a baseplate. To determine its strength against loads, the following should be calculated (note: moment of inertia should be about centroidal x and y axes): [6] (ANSWER: 139.398 mm) [7] (ANSWER: 291.637 mm) Properties of channel (C310x30.8): = A 3920 mm²; d=305 mm; by 74.7 mm ; tw = 7.16mm; t = 12.7 mm; x = 17.7 mm ; Ix=53.7 x 10 mm²; ly = 1.61 x 106 mm² Properties of channel (C380x74): 4 = 9480 mm²; d=381 mm; by = 94.5 mm ; tw = 18.2 mm; t = 16.5 mm; x = 20.3 mm; Ix=168 x 10 mm²; Iy = 4.58 x 106 mm² y C380X74 flange -BP305x20 -C310X30.8 web X 105.2500- tw- tf # bf P

A built-up section is composed of two (2) channels and a baseplate. To determine its strength against loads, the following should be calculated (note: moment of inertia should be about centroidal x and y axes): [6] (ANSWER: 139.398 mm) [7] (ANSWER: 291.637 mm) Properties of channel (C310x30.8): = A 3920 mm²; d=305 mm; by 74.7 mm ; tw = 7.16mm; t = 12.7 mm; x = 17.7 mm ; Ix=53.7 x 10 mm²; ly = 1.61 x 106 mm² Properties of channel (C380x74): 4 = 9480 mm²; d=381 mm; by = 94.5 mm ; tw = 18.2 mm; t = 16.5 mm; x = 20.3 mm; Ix=168 x 10 mm²; Iy = 4.58 x 106 mm² y C380X74 flange -BP305x20 -C310X30.8 web X 105.2500- tw- tf # bf P

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...

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A built-up section is composed of two (2) channels and a baseplate. To determine its strength against loads, the following should be calculated (note: moment of inertia should be about centroidal x and y axes): [8] Tx (ANSWER: 360.354x10^6 mm^4) [9] Ty (ANSWER: 109.106x10^6 mm^4)| [10] rx (ANSWER: 135.940 mm) Properties of channel (C310x30.8): = A = 3920 mm²; d=305 mm; by 74.7 mm; tw = 7.16mm; t = 12.7 mm; x = 17.7 mm ; 1x = 53.7 x 10 mm²; Iy = 1.61 x 106 mm² Properties of channel (C380x74): A = 9480 mm²; d= 381 mm; b = 94.5 mm ; tw = 18.2 mm; t = 16.5 mm; x = 20.3 mm; Ix=168 x 106 mm²; ly = 4.58 x 106 mm² y flange BP305x20 C310X30.8 web 105.2500- -C380X74 tw- tf bf
Please help. This problem involves moment of inertia on a cross-section. Thank you.
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Hello, I don't understand how to get the to equation of the moment of inertia for the shape in the picture below. I have added my own finding in the photo below. I hope you can help me. Thanks! Julia
The cantilever beam depicted below is rigidly attached to a wall at point A, which coincides with the coordinate system's origin. Point B near the beam's free end has coordinates (1.3, 0.3, 2.4) m. The vector r₁ = 11+12ĵ+1km is perpendicular to the beam axis AB and oriented parallel to the width dimension of the cross-section, as shown. The vector 7₂ = 29.1î+1.23 — 14.72 m is perpendicular to the beam axis AB and r₁. The force P applied to point B of the beam has the direction angles 0 = 144°, 0y = 72°,0₂ = 60°. fa Questions: a Assuming |P| = 1000 N Compute the force moment about ri and 72. b Previous experiments on similar beams made of the same material have shown that the beam will rupture and be torn from the wall when the absolute value of the moment of P about r₁ is 4000 Nm, or when the absolute value of the moment of P about r2 is 6000 Nm. Determine the magnitude of P that will cause this beam to fail.
The cantilever beam depicted below is rigidly attached to a wall at point A, which coincides with the coordinate system's origin. Point B near the beam's free end has coordinates (1.3, 0.3, 2.4) m. The vector r₁ = 1î+12ĵ+1k m is perpendicular to the beam axis AB and oriented parallel to the width dimension of the cross-section, as shown. The vector 72 = 29.11+1.23 - 14.7 m is perpendicular to the beam axis AB and r₁. The force P applied to point B of the beam has the direction angles 0x = 144°, 0y = 72°,0% = 60°. Questions: a Assuming |P| = 1000 N Compute the force moment about rỉ and 72. b Previous experiments on similar beams made of the same material have shown that the beam will rupture and be torn from the wall when the absolute value of the moment of P about r₁ is 4000 Nm, or when the absolute value of the moment of P about r2 is 6000 Nm. Determine the magnitude of P that will cause this beam to fail.
4.15. Calculate I,, ly, Iy for the section of Figure P4.9 above. You can use the results from Example B.1.
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QUESTION 2 Question 2 A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 125 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 30 mm and the origin of the coordinate system is at centroid of the cross section. 7 y= Z= A a AY S= 20 4a mm; mm; O Figure Q2 Answer The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross- section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are ← a The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB cross section can be calculated as Distance = mm (units: mm) 3a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = a (units: mm²) Shear stress The second moment of area employed in the equation to calculate maximum shear…