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P8.023 GO Multipart Part 1 A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume La-3 ft, Lac-9 ft, P-2000 lb, w 850 Ib/ft, b-14 in., d-10 in., t-0.625 in. Consider the entire 12-ft length of the beam and determine (a) the maximum tension bending stress at any location along the beam, and (b) the maximum compression bending stress at any location along the beam. 14 Break the cross-sectional area into three areas: (1) Top horizontal flange with rectangular cross-section 14 in. x0.625 in 2) Left vertical stem with rectangular cross-section 0.625 in. x 9.375 in, Find the areas and the centroid locations in the y-direction for each part. Enter the centroid locations, yi, ys, and ys, as measured with respect to a reference Answers: Click if you would like to Show Work for this question: QOpen Show Work Attempts: Unlimited SAVE FOR LATER SUBMI
Mechanics of Materials (C BACK STANDARD VIEW PRINTER VERSION Part 2 Determine the centroid location in the y direction for the entire beam cross-section with respect to the reference axis at the bottom of the cross-section Answer: the tolerance is +/-296 Click if you would like to Show Work for this question: Open Show Work Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER Part 3 Consider again the cross-section broken into three area, as in Step 1 (1) Top horizontal flange with rectangular cross-section 14 in. x0.625 in. (2) Left vertical stem with rectangular cross-section 0.625 in. x9 375 in. (3) Right vertical stem with rectangular cross-section 0.625 in. x9.375 in. Determine the moment of inertia for each area about its own centroid and the distance from the centroid of each area to the centroid of th section. For example, Ies is the moment of inertia for area (2) about its own centroid, and d, is the distance from the centroid of area (1) to the centroid the entire cross-section, e entire cross- V. Enter the distances di, d, and ds as positive values here, regardless of whether the centroid for an area is above or below. Answers: n. n. Click if you would like to show work for this question: Open-Show Work Attempts: Unlimited SAVE FOR LATER SUBHIT ANSWER Part 4 Calculate the moment of inertia for entire cross-section about its z centroidal axis Answer: I the tolerance is +/-296 Click if you would like to Show Work for this question: Open Show Work
STANDARD VİEW PRINTER VERSION . BACK Part 5 bending-moment diagrams for the beam on a piece of paper. Be sure to use the sign conventions from Section 7.1. Determine magnitude. Enter the maximum negative moment as a negative value here. Answers: Enter the maximum positive and negative bending moments for the beam. One method for determining these would be to begin by drawing shear-force negative bending moments from your bending-moment diagram. The maximum negative bending moment is the negative bending moment with the largest b-ft b-ft Click if you would like to Show Work for this question: en Show. Work Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER Part 6 At the location o the maximum positive moment deter in, the maximu m tension σ r+, and the maximum compress on bending stress, will be negative. ending stress, Ơ C. Report the answers here using the correct sions according to the flexure formula ( σ C+ Answers: Click if you would like to Show Work for this question: Open Show.Work Attempts: Unlimita
イBACK STANDARD VIEW PRINTER VERSION Part 7 At the location of the maximum Ơ C- negative moment, determine the maximum tension bending stress ơr , and the maximum compress on bending stress, Report the answers here using the correct signs according to the flexure formula ( ƠC- will be negative). Answers: Click if you would like to Show Work for this question: Open Show Work Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER Part 8 Determine the maximum tension bending stress at any location along the beam the tolerance is +/-296 Click if you would like to Show Work for this question: 0pen Show Work ts: Unlimited SAVE FOR LATER SUBMIT ANSWER Part 9 Determine the maximum compression bending stress at any location along the beam. This is the compression bending stress with the largest magnitude ver, report the answer as a negative value to be consistent with the sign convention for normal stresses. Answer: ƠC,max the tolerance is +/-2% Click if you would like to Show Work for this question: Onen Show Work
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