1. (10 points) For the cross section shown below, find the centroid of the section y...
(10 points) For the cross section shown below, find the centroid of the section y and the moment of inertia 1. 16 in 1.0 in LO in 10 in 2 in > I in 1 in 3 in 2 in > > in 3 in 2 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
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)...
(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,...
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral axis B. Compute the moment of inertia of the section around the neutral axis C. Locate the section of maximum moment then compute the maximum stress due to bending, fb D. Locate the section of maximum shear-compute the shear stress at the neutral axis 3.0 k 8" 1.5 k/ft 1.0 k/ft 2" 8 10 ft 6 ft 4 ft 2" Cross-Section Problem 1...
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...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
Problem 5. (40 points). Determine the distance ý to the centroid of the beam's cross- sectional area; then determine the moment of inertia about the x-axis. Set up all calculations in a table form. 125 mm V 25 mm |< X T 150 mm у 12 mm 12 mm