Answered: (a) Determine the coordinates of the…

(a) Determine the coordinates of the centroid with respect to point “O”. (b) Find the second moment of area of the section about “x” axis (Ix).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: For the area shown, do the following: a. Determine the centroid with respect to the indicated X and…

A: As per company policy we can only answer first three questions. Kindly post the other questions as…

Q: Determine the distance from the upper surface of the symmetric double-T beam cross section to the…

A: Given:- To find:- Distance H from the upper surface Concept:- Location of centroid of the section…

Q: 3. Find the centroid of the area in first quadrant bounded by the curve y² =4ax and latus rectum. dx…

Q: x B A P₂ 150 mm * 200 mm P₁ 120 mm 150 mm P3 320 mm

Q: 4-5. The tip of a one-link robot is represented as a → position vector P as shown in Fig. P4.5. Find…

Q: In the truss shown below, determine the vertical displacement at point F. Cross- sectional area of…

Q: a b

Q: F, F2 and F are aplied to a ring as in the figure. a) Resolve F1, F, and F3 into their rectangular…

A: Given system of forces and asked to determine the following answers. F1=200 N F2=F N F3=200 N a= 3…

Q: 68 lb/ft 34 lb/ft 34 lb/ft 548 ft Ib B 2.8 ft 2.8 ft

Q: 2. Consider two forces F, and F₂, both having the same magnitude. F, makes an angle of 60° with both…

A: Given:Required: Angle between two forces

Q: For the truss shown in Figure 3, members AC and BC have cross sectional area of 2 in.² while members…

Q: Use the method of joints to determine the force in each member of the truss. State whether each…

A: It is required to find forces in truss members.

Q: 2. Locate the centroid (x, y) of the cross-sectional area. 5 in 05i 0.6

Q: Determine the x-component (m) of the centroid of the given figure if the cut portion is a semicircle…

A: Given data: r= 7m

Q: 19. Define kinematic indeterminacy. Calculate the kinematic indeterminacy for a truss shown in…

A: First count the number of Joints (J) =3Then count the number of Reactions (R) = 3Using the formula…

Q: nalyze the Structure given in Figure (Picture Attached) and determine the forces in each member of…

A: Draw the free-body diagram of the truss.

Q: Determine the horizontal displacement of joint D of the truss as shown. Take E = 29(103) ksi. The…

Q: For the trapezoidal region: a. Find y bar b. Find ixx c. Construct the centroidal axis x’ and then…

Q: Locate the centroid y of the cross-sectional area. L=6in. 8L C 6L

Q: The cross sectional area of each member of the truss shown in the figure is A = 500 mm^2 and E = 200…

Q: Compute for the location of the centroid of the 8. section from the x- and y-axes shown in the…

Q: A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-section…

Q: For the assembly shown in the figure, a force of 25 kN is applied to the ring at F. Determine the…

Q: For the area shown, do the following: a. Determine the centroid with respect to the indicated X and…

A: Given To find a. The centroid with respect to the indicated X and Y axes of the area shown b. The…

Q: For the shape below determine the centroid relative to the x and y given. Once you have the centroid…

A: Given:b=4, h=4 and r =0.2Required:Centroid locationMoment of inertia about an axis through centre…

Q: 13. Determine the moment of Inertia of the quarter of the circle shown in the figure with respect to…

A: Consider the given below figure

Q: r= 2 in. z = 4y3- x G N 10 in. 8 in.- th 2 in. 16 in.

A: Diameter of the drilled cylinder = 4 inRadius of the hemisphere = 2 inAfter drilling, the resulting…

Q: If the force F = 100 N lies in the plane DBEC, which is parallel to the x–z plane, and makes an…

A: Lets first find out position vectors for points A and B,

Q: al member is

Q: β = 0.2 and α = 6.3

A: Given:- The increase in speed from rest to 50 mph in 3.8 sec The increase in speed from rest to 65…

Q: PROBLEM 2 A steel bar is bolted to another solid steel structure as shown in Figure 2. A force 400…

A: Introduction- Reinforcing bars, or rebars, are another name for steel bars. It's a steel wire mesh…

Q: The frame shown in the Figure is supported by a hinge at A and a roller at E. Compute the vertical…

A: P=55kN To find the vertical components of the hinge forces at C

Q: 5 in. 1 8 in. R = 6 in. 2 in.- y H (a)

Q: . Compute the midspan value of El8 for the beam shown in Fig. P-653. (Hint: Draw the M diagram by…

Q: 4 m 4 m 3 m* 6 m 4 m D In the shown figure the rod is subjected to the force F ,=500 N Point B is…

A: Given :- Force (F) = 500 N Point B is located ate the mid point of the rod Coordinates of point B…

Q: R is the resultant of the four forces A, B, C, and D. Find the magnitude of the angle e and the…

Q: The quarter ring shown has a mass m and was cut from a thin, uniform plate. Knowing that r1 = fr2,…

Q: 1. Find the force in members AB, BC, BD and CD. 2. Find the absolute vertical displacement of joint…

A: Given: EA= 2000 k for members AB, BC and BD. EA= 4000 k for member CD alpha =…

Q: Locate the centroid of the cross-sectional area. L=1.3in. L 8L C 6L

A: Given- L = 1.3 in. To find the centroid-

Q: For the entire section shown, the moments of inertia with respect to the centroidal x and y axes at…

A: Consider the following diagram.

Q: Locate the centroid of the area shown in the figure by direct integration. (Caution: Carefully…

A: To find centroid

Concept explainers

Coordinate Geometry of Survey

Coordinate geometry (COGO) is a method of inserting surveying or engineering data into geographic information system (GIS), computer-aided design (CAD), or mapping software. These data can be collected on the proposed construction site using standard surveying techniques and instrumentation or may be taken from existing maps, engineering plans, drawings, or records. Data gathered on the site includes coordinates of points, bearings, and distances between points. The data are noticed and noted through conventional surveying procedures, like a traverse or layout measurement series and it can be either digital or non-digital. The maps and plans are inclusive of boundaries, divisions, and other components, and these features are shown with coordinate values, the lengths, offset distance, and bearings between them.

Question

For the section shown in the figure below:

(a) Determine the coordinates of the centroid with respect to point “O”.

(b) Find the second moment of area of the section about “x” axis (I_x).

y
250 mm
250 mm 150 mm
150 mm
60 mm
150 mm
-- x

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

3) The T shaped cross-section of a beam is made of a flange (the upper horizontal area A1 = 2000 mm2) and a web (the lower vertical area A2 = 3200 mm?) as shown in the figure. 20 mm If you want to compute the vertical distance C, of the centroid of this cross-section from the bottom most point of this cross- а. section then give the expression in terms of some numbers from which Cy can be computed. No need to carry out the calculation. b. From part (a) if you get Cy = 114.6 mm then give the final expression of the area moment of inertia Ix (about the x-axis going through the centroid of the T-section). Your expression should only contain some numbers. No need to finish the calculation. Give the final expression of the area moment of inertia ly (about the y-axis going through the centroid). Your expression should only contain some numbers. No need to finish the calculation. d. If you drill a circular hole of 15 mm diameter with its center 160 mm С. 20 mm 100 mm coinciding with the…
The cross sectional area of the members of the truss shown is 500 mm² and E = 200 GPa. Solve the horizontal displacement of joint C due to external loadings in mm. AB 1.5 m O 0.1875 O 0.075 O 11.25 O 18.75 C 2 m D 10 kN 5 kN
The bars AB, CD and EF made of material with E=180 GPa and have a cross sectional area of 678 mm2. The beam ACE is subjected to the force P=163 N. Take L=1.6 m and d=519 mm. Answer the following questions D E The force in the bar AB is 92.51608333 120.7558333 102.4998333 95.08333333 111 3475
ENGINEERING MECHANICS STATICS Example 6\ The tether of the balloon exerts an 800-N force F on the hook at O. The vertical line AB intersects the x z plane at point A. The angle between the z axis and the line OA is 60 , and the angle between the line OA and F is 45. find the three components Fx, Fy, Fz F
Determine the centroids and the second moment of the area for the figures shown below abouttheir centroidal axes.
Consider the beam's cross-sectional area shown in (Figure 1). Suppose that a = 210 mm, b = 280 mm, c = 140 mm. Determine the location y¯ of the centroid for the beam's cross-sectional area.
For the area shown, do the following: a. Determine the centroid with respect to the indicated X and Y axes of the area shown. If centroid is zero, show proof that it is zero. b. Determine the moment of inertia with respect to the centroidal X and Y axes c. Determine the product of inertia with respect to the indicated X and Y axes. d. Determine the polar moment of inertia with respect to the centroidal X and Y axes. вотт BE 80mm 60 mm 60 mm
Determine the distance h to which a 4-in. diameter hole must be bored into the top of the solid shape so that the centroid of the resulting shape is located at z̅= 10 in. The hole is cylindrical with a hemispherical end.
Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in and E = 29(10')ksi , determine the vertical displacement at joint D due to radiant heating of member FD is subjected to an increase in temperature from 20° F C to 110° F, take a = 0.75(10³)/F , and member CD would be decreased 0.2 in use Method of Virtual Work. (P in k) P=9 VP F E 4 m А D B C 3 m 3 m 3 m +
PLease show all of your work
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 = 34 in. Answers: i in. y = in. i %3D
Analyze the Structure given in Figure (Picture Attached) and determine the forces in each member of truss by GRAPHICAL METHOD. State whether members are in tension or compression. P1= 720KN P2= 360KN