D C a 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. Which of the following is the correct coordinate of the homogeneous wire in the y-axis ? O a) 20.57

D C a 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. Which of the following is the correct coordinate of the homogeneous wire in the y-axis ? O a) 20.57

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

Problem #1: All the vertical bars are constructed from steel (E = 29,000 ksi and a = 6.5 x 10 1/°F). The mechanical loading is shown and in addition the entire system undergoes a uniform temperature change of AT = 25 °F, determine the vertical displacement at point B (red circle). Note the cross- sectional area for all the vertical bars is 0.0750 in? and assume the horizontal beams are rigid. Report your answer in inches to four decimal places. E F 4 ft H. D C -2 ft- 5 ft 4.5 ft 800 lb A B 1 ft
Question:- 1. What is the flexural rigidity of the beam in N-m^2? 2. What is the value of the maximum vertical deflection in mm? 3. What is the location of the maximum slope of the elastic curve from C in meters?
Problem 4 You measure the following deflections along the length of a simply-supported uniform beam. Compute for the slope and moment (in N- m) at 0.75 m. Use the following parameter values in your computation: E = 200 GPa, and I = 0.0003 m X, meters (length along the beam) 0.375 0.75 1.125 1.5 1.875 Y, centimeters 20.2571 20.9484 21.9689 23.2262 24.6414 Hint: de M(x) dx EI
A column is constructed using four A992 steel angles that are laced together as shown. The length of the column is to be 40 ft and the ends are assumed to be fixed connected. Each angle shown below has an area of A = 2.75 in^2 and moments of inertia of Ix = ly = 2.22 in^4. (Figure 1) 2.068 in. 0.932 in. 0.932 in. 2.068 in. C с C C y Determine the distance d between the centroids C of the angles so that the column can support an axial load of P = 340kip without buckling. Neglect the effect of the lacing. Express your answer to three significant figures and include the appropriate units X d
Example: Resolve the horizontal 600 N force in shown into and components acting along the u and v axes determine the magnitudes of these components. F 30° 130 600 lb
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm t₁ = 14mm d = 110 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3028 mm². • The moment of inertia of the entire beam cross section about the z centroidal axis is lz= 325870000 mm². If the beam will be subjected to a shear force of V=245 kN, determine the shear stress at point H, located at y = 110 mm above the z centroidal axis. d H.V Answer: TH= x Z MPa Уи YK H K
2. P Derive an equation that describes the vertical deflection of the beam, y(x), and also B calculate the maximum deflection of the beam. M = 0.5PL %3D
Determine location of centroidal x and y and the momentof inertia Ix of the figure shown. Use the Parallel axis theorem. Y = 25, and A = 5
Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A concentrated load of P = 22 kips is applied to the free end of bronze rod (3). Determine the magnitude of the deflection of rod end D after the temperature of all rods has increased by 70°F. Use the following dimensions and properties: a = 3.5 ft, b = 7.3 ft. Rod (1): d₁1.10 in., L₁ = 13ft, E₁ = 15,200 ksi, a₁ = 12.20 x 10-6/°F. Rod (2): d₂ = 0.70 in., L₂ = 9ft, E₂ = 28,000 ksi, %₂ = 9.60 x 10-6/°F. = 6ft, E3 = 15,200 ksi, a3 = 12.20 x 10-6/°F. Rod (3): d = 1.15 in., L VD = i (1) (2) a b H Rigid bar B (3) L3 OD L in. N P L₂
Locate the centroid of the area shown in the figure by direct integration. (Caution: Carefully observe the proper sign of the radical involved.) Set a - 31 in. Answers: x = y = i in. in.
Shown below is the cross-section of a bridge pier. Knowing that the cross-section is symmetric and that b = 3.2 m and d = 1.4 m, determine the moment of inertia about the X-X axis. Express your answer in mª to the nearest 0.001 mª. II b b/4 b/2 b/4 Y X- d/3 , d/3 , d/3| CI
Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A concentrated load of P = 16 kips is applied to the free end of bronze rod (3). Determine the magnitude of the deflection of rod end D after the temperature of all rods has increased by 125°F. Use the following dimensions and properties: a = 2.8 ft, b = 6.3 ft. Rod (1): d₁ = 0.90 in., L₁ = 11 ft, E₁ = 15,200 ksi, α₁ = 12.20 × 10-6/°F. Rod (2): d₂ = 0.80 in., L₂ = 9 ft, E2 = 28,000 ksi, a₂ = 9.60 × 10-6/F. Rod (3): d3 = 1.25 in., L3 = 5 ft, E3 = 15,200 ksi, a3 = 12.20 x 10-6/°F. VD = i L in. (1) A a L3 B (3) D b Rigid bar L2