For the wood beam shown in Figure A, assume L = 1.5 mand P = 15 kN. The beam cross section shown in Figure B has dimensionsof b = 58 mm and d = 247 mm.(a) Determine the maximum horizontal shear stress in the beam.(b) If the allowable shear stress for the wood is 700 kPa, what is the minimum width b that is acceptable for this beam?| 2PВDFigure AdbFigure B В, -kNDy =kNAttempts: unlimited Submit AnswerSave for LaterUsing multiple attempts will impact your score.20% score reduction after attempt 4Part 2Determine the shear forces VAR. VBC. and Vcn acting in segments AB, BC, and CD, respectively. Note that the shear force isconstant in each of these segments.When entering your answers, use the shear force sign convention.VAB =kNVBC =kNVcD =kNeTextbook and MediaSave for LaterAttempts: unlimitedSubmit AnswerUsing multiple attempts will impact your score.20% score reduction after attempt 4Part 3Determine the maximum magnitude shear force in the beam. Enter a positive value for the magnitude.Vmax =kNSave for LaterAttempts: unlimited Submit AnswerUsing multiple attempts will impact your score.20% score reduction after attempt 4Part 4Calculate the first moment of area Q about the z centroidal axis for the area of the cross section above horizontal z centroidalaxis.mm

Answered: Image /qna-images/answer/4e4bd5e5-31c4-4f10-9b0e-62044b70c546.jpg

For the wood beam shown in Figure A, assume L = 1.5 mand P = 15 kN. The beam cross section shown in Figure B has dimensions of b = 58 mm and d = 247 mm. (a) Determine the maximum horizontal shear stress in the beam. (b) If the allowable shear stress for the wood is 700 kPa, what is the minimum width b that is acceptable for this beam? P 2P A В |C D L Figure A d b Figure B

For the wood beam shown in Figure A, assume L = 1.5 mand P = 15 kN. The beam cross section shown in Figure B has dimensions of b = 58 mm and d = 247 mm. (a) Determine the maximum horizontal shear stress in the beam. (b) If the allowable shear stress for the wood is 700 kPa, what is the minimum width b that is acceptable for this beam? P 2P A В |C D L Figure A d b Figure B

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.5P: Two wood beams, each of rectangular cross section (3.0 in. x 4.0 in., actual dimensions), are glued...

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A cantilever beam of length L = 2 m supports a load P = 8,0 kN (sec figure). The beam is made of wood with cross-sectional dimensions 120 mm x 200 mm. Calculate the shear stresses due to the load/"at points located 25 mm, 50 mm, 75 mm, and 100 mm from the top surface of the beam. From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam.
A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)
Two wood beams, each of rectangular cross section (3.0 in. x 4.0 in., actual dimensions), are glued together to form a solid beam with dimensions 6.0 in. x 4.0 in. (sec figure). The beam is simply supported with a span of S ft. What is the maximum moment Mmaxthat may be applied at the left support if the allowable shear stress in the glued joint is 200 psi? (Include the effects of the beams own weight, assuming that the wood weighs 35 lb/ft3.) Repeat part (a) if Mmaxis based on allowable bending stress of 2500 psi.
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The cross section of a rectangular beam having a width b and height h is shown in part a of the figure. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d/9 the top and bottom of the beam (see part b of the figure). For what values of d is the bending-moment capacity of the beam increased? For what values is it decreased?
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A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.
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