Calculate the x-, y-, and z-coordinates of the mass center of the bracket formed from the steel plate of uniform thickness. 225 300 mm mm 170 mm 325 mm
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- Calculate the x-, y, and z-coordinates of the mass center of the bracket formed from the steel plate of uniform thickness. 135 185 mm mm 115 mm 220 mm 120 mm Answers: x = i mm y = i mm i mmPSD323- Principles of Steel Design 2. For the shaded area in the Figure shown, determine the following: a. The area of the shaded portion in square millimeters b. The x-coordinate of the centroid of the area in mm c. The moment of inertia of the composite area with respect to the x-axis in mm^4 45 mm 3. For the shaded area shown in the figure below, determine the following: a. The area of the shaded area in square millimeters b. the x coordinate of the centroid millimeters c. the y- coordinate of the centroid in millimeters. 400 e 200 200 400 All units in mm 300 300 PSD323- Principles of Steel Design 4. The tee section is made up of a 30mmx150mm flange and a 30mmx160mm web. Determine the properties of a section(MOI, section modulus, radius of gyration) 150 mm 30 mm Yu N.A. d. 30 inm 20 mmPart 1 The diagram on the side show a cross-section of hollow shaft. Determine the maximum volume of material to be used, in cm in order to produce the hollow shaft that has surface area of XT cm. (Given R2 R2 = R1, X is the sum of matric number of your group leader). X= 6 Part 2 Determine the moment inertia of hollow shaft used for a structure about its axis using multiple integrals method and analyze how the moment inertia related to the strength of the structure.
- Calculate the x-, y-, and z-coordinates of the mass center of the bracket formed from the steel plate of uniform thickness. 500 mm x = 210 Answers: y = Z= mm i i i 195 mm 345 mm 260 mm mm mm mmDetermine the x-, y-, and z-coordinates of the mass center of the homogeneous body shown. The hole in the upper surface is drilled completely through the object. 20 20 25 15 10 10 40 Dimensions in millimeters Answers: I= i mm y = mm Z = i mmthe machine element was made from steel by combining a cylindrical base with a cone on top, then cutting a semicylinder from the base. (steel density = 7850kg/m3)a. what's the x-coordinate of center of mass of the entire assemblyb. what's the y-coordinate of center of mass of entire assemblyc. what's moment of inertia of the entire assembly with respect to the y-axis
- Determine the weight moment of inertia (in lb · in²) of the homogeneous body (shown in the image below) about the x axis. The specific weight of the material is g= 360 lb/ft³, the length / = 8 in., and the exponent in the equation a = 3.1. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. y Your Answer: Answer ya = x- 1 XGiven: The mass of total shape is 1693.44 Xg=3.18 Yg=2.55Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
- 16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)In the area of the shaded region below, calculate the following: a.) Location of Centroid from x and y axis as shown b.) The moment of inertia with respect to y axis as shown, ly 5+2b+2a All units in cm STUDENT NO CODE: 20XX-XABCDE (EX. 2016-083701, A=8, B=3, C-7, D=0, E-1) r=2+e r=3+c+2dComplete the following sentence 1- The center of mass of a rigid body in the form of thin wire across y-direction is given by.. 2- The center of mass of a rigid body in the form of thin shell across x-direction is given by. . 3- The moment of inertia of a rigid body rotate about a fixed axis (z- axis ) is given by.. . 4- The rotational kinetic energy of a rigid body rotate about a fixed axis is given by. . 5- The torque about the axis of rotation is given by.... .....................