A(channel)=9,400mm^2A(wide-flange)=62,200mm^2 Problem#2: (Built-up section using channel and wide flange section)yProperties of the Channel Section:gytw = 8mmx = 12.67mmIox = 6.327 x106 mm4Wide-Flange (next page)gxIay = 0. 362 x106 mm4 Properties of the Wide Flange Section:gytf = 61 mmbfd = 1,050 mmIax = 14.734 x10° mm4Iay = 715.918 x106 mm4gxdtwtf2a. Determine the location of the centroid of the built-up section measured from the top.2b. Determine the moment of inertia of the built-up section with respect to the horizontalaxis of its centroid. (Hint: Use the concept of transfer of moment of inertia.)

Answered: Image /qna-images/answer/4289abed-1e8b-43dc-bcea-c578773febd3.jpg

2a. Determine the location of the centroid of the built-up section measured from the top. 2b. Determine the moment of inertia of the built-up section with respect to the horizontal axis of its centroid. (Hint: Use the concept of transfer of moment of inertia.)

2a. Determine the location of the centroid of the built-up section measured from the top. 2b. Determine the moment of inertia of the built-up section with respect to the horizontal axis of its centroid. (Hint: Use the concept of transfer of moment of inertia.)

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: What force is required to stretch a wire of 1 cm² in cross- section to double its length? Given Y =…

A: Given data: Cross section area, A = 1 cm2 = 1×10-4 m4 Length, L1=L m Length, L1=2L m Change in…

Q: What force is required to stretch a wire of 1 cm² in cross- section to double its length? Given Y =…

A: Given:- Wire of cross sectional area, A = 1 cm2 = 1*10-4 m2 Young's Modulus, Y = 2*1011 N/m2 To…

Q: 45° SG = 0.86 50 cm A Hinge 10 cm SG = 1.23 80 cm B F 40 cm

Q: A bridge is to be built across a 7.5 m wide almost rectangular river with uniform flow depth of 2.5…

A: n=0.003

Q: Calculate the shear at a point just after D, in Newton’s ?

A: Given:- A beam is loaded with point loads The magnitude of the point load 1 at C = 200 N The…

Q: A simply supported beam made of five 50mm x 200mm blocks of wood carries the load as shown in the…

A: From the given question it is required to calculate allowable pitch of the bolt if each bolt can…

Q: Q R S LU M H. `A E F G H P1 P1 P2 P2 P2 P1 L2 L2

Q: View Policies Current Attempt in Progress Calculate the magnitude of the force acting on the pin at…

Q: Determine the centroid of the beam's cross-sectional area. 80 mm 40 mm 40 mm 10 mm 30 mm X 20 mm

A: Cross-section area : The area of a two-dimensional form generated when a three-dimensional object,…

Q: Please use geometry instead of sin & cos when solving. Find Ax,Ay,Bx,By,Cx,Cy

Q: The moment of inertia about the X-X axis of the shape below is most nearly: 4 cm 2 cm

A: The moment of inertia also called the second moment of area, about the x-x axis is a measure of an…

Q: Determine the centroid of the beam's cross-sectional area. 80 mm 40 mm 40 mm 1 10 mm y 30 mm X 20 mm

Q: Determine the value of the shape factor f. -200mm- 25mm 250mm 25mm 25mm -300mm

A: The entire area can be divided into three portions A1 = (200 x 25) =5000 mm2 ,A2 = (250 X 25) =6250…

Q: Determine the centroid of the beam's cross-sectional area. 80 mm 40 mm 40 mm 1 10 mm 30 mm X 20 mm…

A: Given the below diagram:-

Q: Determine the x. Measure it from the y-axis. 90 mm -70 mm- 60 mm 60 mm 40 mm -120 mm

A: To find the centroid -

Q: (ZZ+10) (ZZ+10) AA -5m5m AA 8 m 2 m FR (N) y

A: FR = - 20 k + 20 k - 68 k - 68 k = -136 k N (↓) Taking moment with respect to O. MR = ∑r × F = MRx…

Q: Determine the centroid of the beam's cross-sectional area. 80 mm 40 mm 40 mm 10 mm y 30 mm X 20 mm

Q: Determine the shape factor of the cross section

A: Given :- A section is given with dimensions To determine :- The shape factor of the cross section…

Q: 7 in. 9.9 in. 14 in. 7 in. 14 in. 16 in.

A: Given:- the wire shown, composed of 4 sections.

Q: For the given angular section, a. Compute the radius of gyration b. Compute the polar moment of…

A: Determinea. Radius of gyration. b. Polar moment of inertia

Q: Problem II. From a triangular steel plate XYZ, a triangular section VwZ was cleanly cut off. What…

A: Given data:

Q: 5 cm 12 cm 12 cm N1-2 0 = 30° N1-10 5 cm 15 cm

A: The problem involves determining the forces and moments acting on a mechanical system to ensure it…

Q: Determine the centroidal z-coordinate (in mm, round=off to 2 decimal places) of the wire figure…

Q: Determine the force in each member of the loaded truss. Discuss the effects of varying the angle of…

A: From the given figure it is required to determine the angle α between AC and AB. And also to find…

Q: Calculate the horizontal and vertical centroidal moment of inertia of the built-up section composed…

A: properties of S460 x 104 beam area = 13300 mm2 depth h = 457 mm Ixx = 387 x 106 mm4 Iyy = 10.3 x…

Q: Calculate

Q: Replace the 400N force by 1) a force through A and a couple whose forces act vertically through D…

A: Solution: Given: Force = 400 N couples: A couple is defined as a two parallel forces that have the…

Q: Statics, Civil Engineering The screw eye is exposed to the two forces shown. Express each force in…

A: Express each force in cartesian vector form Determine the resultant force and the direction angles…

Q: What force is required to stretch a wire of 1 cm² in cross- section to double its length? Given Y =…

Q: Q1/ From (Figure 1), determine the moment about point A. Q2/ Determine the resultant force for the…

A: Given figure no. 1 we have to find moment about A and resultant of forces

Q: Determine Ix (Axis at Centroid) 5.) Determine Iy (Axis at Centroid) 6.) Determine Jo (Axis at…

A: To find moment of inertia about x and y axis

Q: d the x bar location of the centroid along x axis and y bar location of the centroid along y a

Q: Please determine the neutral axes

A: The Actual representation of Neutral axis along z axis ;The Actual representation of Neutral axis…

Q: Exercise Problem : A slender homogeneous wire of uniform cross section is bent into a shape shown.…

Q: orce A=25 N A B=30 N

A: On the left side, tan(theta) = Perpendicular/base tan(theta) = 7/4 = 1.75 angle theta = tan inverse…

Q: IHEXAGON tencile =

A: Given:- P=15000N hexagon side=1.5cm To find:- tensile stress

Q: Determine the centroid of the beam's cross-sectional area. 80 mm 40 mm 40 mm 1 10 mm y 30 mm X 20 mm

A: Beam : A beam is a structural member that resists loads applied laterally to its axis. Its primary…

Q: A 180 kN 1.5 m 1.5 m 3 m Hinge B 3 m 180 kN 3 m

Q: Determine the centroid of the beam's cross-sectional area. 80 mm 40 mm 40 mm 10 mm y 30 mm X 20 mm

A: both the x coordinate and y coordinate are calculated with reference to x axis and y-axis

Q: Determine the magnitude of the resultant force acting on the plate and its direction, measured…

Q: PLease show all of your work

A: Answers

Q: 8-7. A steel plate with holes cut in it is shown below. The plate has a thickness of t=6.35mm and…

A: The thickness of the section, t = 6.35 mmDensity = 8000 kg/m3To determine the coordinates of the…

Concept explainers

Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.

Question

100%

A(channel)=9,400mm^2 A(wide-flange)=62,200mm^2

Problem#2: (Built-up section using channel and wide flange section)
y
Properties of the Channel Section:
gy
tw = 8mm
x = 12.67mm
Iox = 6.327 x106 mm4
Wide-Flange (next page)
gx
Iay = 0. 362 x106 mm4

Properties of the Wide Flange Section:
gy
tf = 61 mm
bf
d = 1,050 mm
Iax = 14.734 x10° mm4
Iay = 715.918 x106 mm4
gx
d
tw
tf
2a. Determine the location of the centroid of the built-up section measured from the top.
2b. Determine the moment of inertia of the built-up section with respect to the horizontal
axis of its centroid. (Hint: Use the concept of transfer of moment of inertia.)

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 3

VIEW

Step by step

Solved in 3 steps with 3 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

a = 185mm
2a 2a lof a homogeneous, planar plate of constant thickness in the figure. 24 - the coordinates of the centroid M(Xm, Ym) of the surface area, Find the team (x,y). t = 3 cm and a = 9 cm. What is the surface area of this planar plate, in cm2? а) 468 В) 378 O C) 324 D) 333 то) 288
Find the centroid of the given area. 5m 2m 3m 2m 8m
Two identical wood planks are nailed together as shown in the Figure below. Determine the shear resisted by each nail if the applied shear force is 8 kN and the longitudinal spacing between nails is S-70mm 90тт 90тт |34mm 34тm
Find dimensions of the cone (dif positions) which is stable among the two H =30 R=25 SGCONE=0.5 R
(b) A solid circular rod as in Figure Q1(a) is 600 mm long and 20 mm diameter. The rod is subjected to an axial force of P = 50KN. Upon loading, the elongation of the rod is 8 = 1.40 mm, and its diameter reduce to d' = 19.9837 mm. Determine the modulus of elasticity of the material. Assume that the material does not yield.
Plate # 4 A W24x103 is used as a beam that is simply supported. IT has the following Properties d= 623.10mm tw = 14.00mm bf = 228.60mm tf = 24.90mm A = 19548.00mm^2 w = 153.76kg/m rt = 59.18mm Ix = 1,248,694,000,000mm^4 Sx = 4,008,005mm^3 rx = 252.74mm Zx = 4,588,377.92mm^3 ly = 49,532,000,000mm^4 Sy = 433,350.83mm^3 Ry = 50.34mm Fy = 248MPA Determine the allowable (ASD) Moment Capacity in kNm for a length of: a) 2m b) 4m c) 9m d) 16m
Solve for the shape factor of the section shown below 650mm 20mm 380mm 25mm 25mm +325mm + CS Scanned with CamScanner
Calculate the centroid
Q.5) Three forces are applied to bracket as shown in figure below. Replace the given force system by a resultant force system acting at point O. Then replace the resultant force system by the simplest resultant and locate its line of action as it passes through the y-z plane. 50 mm, 50 mm 100 mm y 100 mm B 75 mm 700 N 30° 45° 1000 N 45° 1200 N 60° E(150 mm, -50 mm, 100 mm)
Problem: 1 Kuwait University Name: Resolve the force F₂ into components acting along u and v axes and determine the magnitudes of the components. F₂ = 150 N 30° ID: V 105° F₁ = 250 N 30° "
Solve this early all subparts. I upvote definitely