Question

A small dam of height h=2.0 m is constructed of vertical wood beam AB of thickness t=120 mm, as shown in the figure. Consider the beam to be simple supported at the top and bottom. Assuming that the weight density of water is 9.81 kN/m^3.

68.) determine the maximum bending stress in the beams (MPa)

69.) determine the allowable height (in m) of water if the allowable stress of the vertical wood is 1.0 MPa.

A small dam of height h=2.0 mis constructed of vertical wood beam AB of thickness t = 120 mm, as shown in the figure. Consider the beam to be simply supported at the top and bottom. Assuming that the weight density of water is 9.81 kN/m? 68. Determine the maximum bending stress in the beams (MPa). a. 2.40 b. 2.00 c. 2.10 d.2.70 e. none of the above 69. Determine the allowable height (in m) of water if the allowable stress of the vertical wood is 1.0 MPa. a. 1.33 b. 1.56 c. 1.00 d. 1.80 e. none of the above

Answer 1

h: 2m t -12omm q=90124) < un qo RA hoom tal20 mm hr wichth of beam perpendicular to plone, maximum intensity of distributed load Lorrbh sa 6+% Yo RA LoL Ma Raxa doxi 6 GL qalx. % x3 6 GL am qol do x2 dx 2L OC Substitute X Las into L 13 equation form Momax 90 (15) 201² gua

vertical for l=h, wood beam Mman 2 h² maxa Mmas 5 95 220h² 35 bt? 2rn? 3.6 +2 omax 249.81X23 3 V3 x 0.122 - 2097. to kn m2 2.097 N. amma Omar = 2.1 MPa Answer 15 се 2.1 мро. moix - IMP ca 2003 3 13t? 2x 9.91 x lo 3x h3 3 V X (120) 21 h: 1.56 m

I hope