Cross-Section B (T-Section) The next cross-section to consider is a "T-section". The dimensions are given as: b = 130 mm d = 180 mm t = 30 mm 18 t y -t- J b With reference to the origin shown above, what are the coordinates of the centroid for this cross-section: Imaz Imin What is the maximum and minimum second moment of area about axes passing through the centroid: mm4 m4 || mm mm = d mm

Cross-Section B (T-Section) The next cross-section to consider is a "T-section". The dimensions are given as: b = 130 mm d = 180 mm t = 30 mm 18 t y -t- J b With reference to the origin shown above, what are the coordinates of the centroid for this cross-section: Imaz Imin What is the maximum and minimum second moment of area about axes passing through the centroid: mm4 m4 || mm mm = d mm

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

See similar textbooks

Similar questions

Figure (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.
For the area below, evaluate 1. The (x,y) coordinates of the centroid (please mark your origin or reference point on the diagram) 2. The 2nd moments and product of area in centroidal-based xy (horizontal-vertical) coordinates 3. The principal 2nd moments of area, and the direction of the first principal axis relative to the horizontal (x) axis (anticlockwise positive) 50 75 30 150 60 50 15 Figure 1: Cross section (all dimensions in mm) Quantity Xc (please mark your origin on the diagram) Yc (please mark your origin on the diagram) Ix ly Ixv I₁ I₂ a1 (please show the direction) Value 30 Units
3一4 Problem 1 Find the centroidal coordinates for the following triangles using the integrals SycdA S dA and %3D = X vp S You may utilize symmetry when appropriate. (-3,4) (3,4) (0,0) a. (5,4) (5,1) b. (4'0) (0) C. ×て (3,4) す Th-てh:8018 (-)
D 1- A B Find the center of gravity Mof the three dimensional homogeneous wire ABCD in the figure using the (x, y, z) coordinate set. The dimensions of the wire are a = 15 cm, b=27 cm. Which of the following is the correct coordinates of the homogeneous wire in the x, y and z axes ? A) (23,57; 17,14;11,43) B) (20,61 ; 13,03; 9,08) O C) (28,29; 13,71 ; 20,57) O DI (23,57; 11,43; 17,14) E) (28,29 ; 20,57; 13,71)
For the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the following: a) X (0,B) 1 2 (0,0) 3 (A,B) DIAGRAM NOT TO SCALE Write the expression of basis function associated with point 1, in terms of x and y Submit part Unanswered b) The displacement of node 3 is 0.3 m in the x direction, and 0 in the y. All other node displacements are zero. What is the normal strain component across the element? Submit part Unanswered
1- In space ,the point can be specified by position vector r wnich is given by: A:r-ix+ jy c r=ix+ jy + kz B:r=ix+ D:r=ix
Find box for the given Plane, where by =120m, d=25m, bz=25m, d2=100m, b3=80m & d3=25 m (Enter only the values in the boxes by referring the unit given in brackets. Also upload your hand written answers in the link provided) b2 dz di bị The value of X= (unit in m) The value of Y= (unit in m) The moment of inertia for sec 1 = lyyi = (unit in m) The moment of inertia for sec 2 = lyy2 = (unit in m4) The moment of inertia for sec 3 = lyya = (unit in m4) The moment of inertia of the given plate = lyy = (unit in m)
4.15. Calculate I,, ly, Iy for the section of Figure P4.9 above. You can use the results from Example B.1.
A cube of side a is cut out of another cube of side b that has a uniform density, as shown in the figure. Express the center of mass FCMof the structure using ijk unit vector notation. Set the origin at the front bottom-left corner of the figure where the dashed lines intersect. 7CM= Question Credit: OpenStax University Physics v1 a b
Solve the first page (2) using the second picture
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)
13 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 24 cm, b = 36 cm. The coordinates of the AB part of the homogeneous wire in the x, y and z axes are given in the following:A) (36; 12; 0)B) (36; 24; 0)C) (36; 24; 12)D) (18; 12; 0)E) (36; 12; 24)