The section of a column is shown in the figure. The dimensions are given as: b1180 mm, d, = 250 mm, and d2 = 350 mm. If fc' = 28 MPa and fy = 414 MPa, determine the following:300 тт, bz%3D%3Da. Location of the geometric centroid of theYsection from the Y-axis.dib. Location of the plastic centroid of the55 mmi55 mmsection from the Y-axis.84 mmc. Factored moment if the plastic centroid islocated 290 mm from the Y-axis andfactored load of 3500 kN is at 400 mmb2from the Y-axis.4 - 28 mm Ø6- 20 mm Ø

Column: A column is a structural element which transmits, through compression, the load of the…

— 300 тт, b2 3— The section of a column is shown in the figure. The dimensions are given as: b1 180 mm, d1 = 250 mm, and d, = 350 mm. If fc' = 28 MPa and fy = 414 MPa, determine the following: %3D a. Location of the geometric centroid of the section from the Y-axis. di b. Location of the plastic centroid of the 55 mmi 55 mm section from the Y-axis. 84 mm c. Factored moment if the plastic centroid is located 290 mm from the Y-axis and factored load of 3500 kN is at 400 mm bị b2 from the Y-axis. 4 - 28 mm Ø 6- 20 mm Ø

— 300 тт, b2 3— The section of a column is shown in the figure. The dimensions are given as: b1 180 mm, d1 = 250 mm, and d, = 350 mm. If fc' = 28 MPa and fy = 414 MPa, determine the following: %3D a. Location of the geometric centroid of the section from the Y-axis. di b. Location of the plastic centroid of the 55 mmi 55 mm section from the Y-axis. 84 mm c. Factored moment if the plastic centroid is located 290 mm from the Y-axis and factored load of 3500 kN is at 400 mm bị b2 from the Y-axis. 4 - 28 mm Ø 6- 20 mm Ø

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A beam is subjected to uniform force w as shown in the figure below, E of the entire section is 30000 kips/inch^2, I is 240 in^4, if point A is supported by 0.003 rad clockwise before assembly, and point B is supported at Subside 0.3 inches before assembly, try to calculate the reaction force of point A and point B.
Solve the problem with complete solutions.
The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d1 = 1.75 in. The outside diameter of the tube is D2 = 2.7 in. and its wall thickness is t2 = 0.130 in. Overall dimensions of the assembly are a = 38 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9400 psi and 7500 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.1°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d1 = 1.65 in. The outside diameter of the tube is D2 = 2.7 in. and its wall thickness is t2 = 0.130 in. Overall dimensions of the assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
The correct answer is 99.9 in ^4. Also why is lc = 2.9 in ^4 not being used anywhere? Moment of Inertia 9-31. Determine the moment of inertia about the centroidal x-axis of the fabricated area shown in Figure P9-31. FIGURE P9-31 For each angle A = 3.98 in.² = 2.9 in.4 4- 2 87 3" 10"
SHOW COMPLETE SOLUTION AND SKETCH THE ILLUSTRATION
The bar composed of aluminum was sustained by the 14 mm2 cross-sectional area of the pin-connected rod CB. When the bar is vertically deflected at D, calculate the vertical deflection of the bar when distributed load is applied Given: E = 68.9 x 10^9 Pa
This is an exercise to illustrate the effects of mesh refinement on a 1-d rod. To estimate the self-weight elongation (8) of the tapered conical rod shown in the figure. The diameter varies linearly from Do at the bottom to aDo at the top, where 0.1 < E Young's Modulus y Unit weight (Diameter at top) 8 clongation D (Diameter at bottom) a<0.5. Solve for L= 5m, y= unit weight of steel, E= young's modulus of steel, Do=3m and a=0.3. Solve the problem at least four times using an increasing number of rod elements (nels=2, 4, 6, 8). Make appropriate assumptions about how to deal with the changing cross-sectional area and self-weight loading along the length of the rod. A plot of the dimensionless tip deflection SE/yL? vs. number of elements (nels) used in the discretization to show convergence on the exact solu- tions of
Can you show how 184 appear? This is the problem: The beam shown in figure is 5 inches wide and 10 inches deep. What is the maximum bending stress?
substitute: C=9, E=22, H=12 A built-up section is shown in figure (a) Determine the thickness "t" of asis the horizontal plate if Centroid is "IE])"x"(H]"mm located at C mm from the horizontal reference axis (x-axis), and (b) Find the moment of Inertia of the Section - 300 mm x 50 mm with respect to the given x-axis (use calculated t from problem a).
The cross-sectional area of the bar is 5 cm. Use E = 70 GPa for aluminum, and g= 200 GPa for steel. L. Aluminum Steel Aluminum 80 kN 20 kN -30 kN +70 kN A IB +3 m 4m 5 m What is the elongation in segment AB (Aluminum)? * O -6.8571 x10^-3 m O 6.8571 x10^-3 m O -7.8571 x10^-3 m O 7.8571 x10^-3 m What is the elongation in segment BC (Steel)? * O 2 x10^-3 m O 3x10^-3 m O -3x10-3 m O -2 x10^-3 m What is the elongation in segment CD (Aluminum)? * O 6.8571 x10^-3 m O -2.8571 x10^-3 m O 2.8571 x10^-3 m O -6.8571 x10^-3 m What is the total elongation of the bar? * 6 x10^-3 m O 5 x10^-3 m O 4 x10^-3 m O -6 x10^-3 m
Solve