In this question we have to find the distance of the centroid and the moment of inertia of the given composite section.
In order to solve this question we have to divide this whole composite section into a number of sections and solve for them, then by adding them we get the answer for the whole section.
The step by step calculations are given below:-

(10 points) For the cross section shown below, find the centroid of the section y and...
1. (10 points) For the cross section shown below, find the centroid of the section y and the moment of inertia 12 у |16 in 1.0 in 1.0 in Z T 10 in y V K** 1 in 2 in > >K 1 in 3 in 2 in ** >kt 1 in 3 in 2 in 1 in
1) Determine the y the centroid of cross area of the T- %am shown. (y) 2) Determine the moment of inertia 30 m 200 c section.( 3) Determine the moment of inertia with
(10 points) The cross-section shown below has a moment of inertia I, 1829.60 in and a centroid y = 6.58 in as shown. Use shear force V 120 kip Section Q (in) Shear Stress (ksi) A-A B-B Neutral Axis D-D E-E 20 in A TA 2 in *B B ΝΑ. 8 in 2 in 6.58 in D D 2 in 15 in (a) find the magnitude of the term Q at levels A, B, N.A., D. and E (b) find...
3. (10 points) The cross-section shown below has a moment of inertia I, = 1829.60 in4 and a centroid y = 6.58 in as shown. Use shear force V = 120 kip. Section Q (in) Shear Stress (ksi) A-A B-B Neutral Axis D-D E-E 20 in A A 2 in B B N.A. 8 in y = 6.58 in 2 in D D * 2 in E 15 in (a) find the magnitude of the term Q at levels A,...
The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 42 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d) the...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
Locate the centroid of the shown cross-section, calculate moment of inertia about x and y axes. 250 38 100 m kum ---75 mm-- --75 mm 38 150 50 mm SO mm - 75 mm-+-75 mm- 25 mm 100 mm 4 in 3 in.- -
Q211 A steel beam has Z-bar cross section as shown in below. Here O is the centroid of the cross section Moment of inertia and product of inertia of the cross section are given by I, = 24.3960(10° ) mm. l, = 67.41 10(10° ) mm. 1,--30.1840(10° ) mm. The internal force developed in the cross section is M 12 kN-m as shown. Determine the location and magnitude of the maximum tensile stress and maximum compressive stress in the cross...
Locate the centroid y of the cross section and determine the moment of inertia of the section about the x' axis. 0.4 m 0.05 m 0.3 m- 0.2 m 0.2 m 0.2 m 0.2 mm
u Review Part B - Calculate the moment of inertia Learning Goal: To find the centroid and moment of inertia of an I-beam's cross section, and to use the flexure formula to find the stress at a point on the cross section due to an internal bending moment. Once the position of the centroid is known, the moment of inertia can be calculated. What is the moment of inertia of the section for bending around the z-axis? Express your answer...