EP ENGR.MECH.-MOD.MASTERING ACCESS
15th Edition
ISBN: 9780134867267
Author: HIBBELER
Publisher: PEARSON CO
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Chapter 10, Problem 44P
To determine
The distance
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For a beam with the cross-section shown, calculate the moment of inertia about the z axis.
Assume the following dimensions:
by-83mm
h₂ = 15 mm
by 9 mm
b₂-72 mm
by-35 mm
h-24 mm
The centroid of the section is located 65 mm above the bottom surface of the beam.
M₂
H
Answer:
mm
by
1.Determine the distance ¯y¯ to the centroid CC of the beam's cross-sectional area and find the moment of inertia I¯_x′ about the x′ axis.
Find the Moment of inertia of the given section about X-X axis passing through its center of
gravity. Take A= 80 mm, B= 20 mm, C= 60 mm and D= 100 mm
A
B
.C
D
Chapter 10 Solutions
EP ENGR.MECH.-MOD.MASTERING ACCESS
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- 3. Determine the distance y to the centroid for the beam's cross sectional area; then determine the moment of inertia about the x' axis. 25 mm 50 mm 100 mm 75 mm C 25 mm 25 mm 75 mm- 50 mm 100 mm 25 mm -Xarrow_forwardThe shaded area has the following properties: 4 = 126 x10 mm* ; 1, = 6,55 x10* mm* ; and Pay =-1.02 10° mm* Determine the moments of inertia of the area about the x' and v' axes if e=30°.arrow_forwardDetermine the distance y̅ to the centroid C of the beam’s cross-sectional area and then compute the moment of inertia I̅ x' about the x' axis.arrow_forward
- Determine y, which locates the centroidal axis r' for the cross-sectional area of the T-beam, and then find the moment of inertia about the x' axis.arrow_forward*Take that a = 44 mm* Pt A. Determine y¯, which locates the centroidal axis x′ for the cross-sectional area of the T-beam. Pt B. Find the moment of inertia about the x′ axis.arrow_forward4.) Find the moment of inertia about the indicated x-axis for the shaded area. r=4cm 10cmarrow_forward
- Find the Moment of inertia of the given section about X-X axis passing through its center ofgravity. Take A= 80 mm, B= 20 mm, C= 60 mm and D= 100 mmarrow_forwardDetermine the dimension b of the square cutout so that Ixy=0 for the region shown.arrow_forwardThe moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.arrow_forward
- Compute Ix and Iy for the region shown.arrow_forwardDetermine the value of ȳ=Determine the value of I with respect to centroidal x axis=arrow_forward3. Determine the moment of inertia of the stringer cross section about the horizontal centroidal axis. Use Excel sheet for the table for the table only. X X' 1. 1"R (3) 00 8 040" x (3¹) X'arrow_forward
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