A cantilever beam of length L= 1 m supports a load P = 8 kN, shown in figure. The beam is made of wood with rectangular cross-sectional dimensions; b = 105 mm and height h = 205 mm. Calculate the shear stress due to the load at points located 92.5 mm from the top surface of the beam.
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- A simple beam ACE is constructed with square cross sections and a double taper (see figure). The depth of the beam at the supports is dAand at the midpoint is dc= 2d 4. Each half of the beam has length L. Thus, the depth and moment of inertia / at distance x from the left-hand end are, respectively, in which IAis the moment of inertia at end A of the beam. (These equations are valid for .x between 0 and L, that is, for the left-hand half of the beam.) Obtain equations for the slope and deflection of the left-hand half of the beam due to the uniform load. From the equations in part (a), obtain formulas for the angle of rotation 94at support A and the deflection Scat the midpoint.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.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.
- A pontoon bridge (see figure) is constructed of two longitudinal wood beams, known as bulks, that span between adjacent pontoons and support the transverse floor beams, which arc called chesses. For purposes of design, assume that a uniform floor load of 7.5 kPa acts over the chesses. (This load includes an allowance for the weights of the chesses and balks.) Also, assume that the chesses are 2.5 m long and that the balks are simply supported with a span of 3.0 m. The allowable bending stress in the wood is 15 MPa. If the balks have a square cross section, what is their minimum required width b^l Repeat part (a) if the balk width is 1.5 b and the balk depth is b; compare the cross-sectional areas of the two designs.A cantilever beam of length L= 5 m supports a load P = 8 kN, shown in figure. The beam is made of wood with rectangular cross-sectional dimensions; b = 110 mm and height h = 190 mm. Calculate the shear stress due to the load at points located 25 mm from the top surface of the beam. b L Lütfen birini seçin: a. 455 kPa b. None c. 262 kPa d. 332 kPa e. 320 kPaA cantilever beam of length L= 5 m supports a load P = 8 kN, shown in figure. The beam is made of wood with rectangular cross-sectional dimensions; b = 110 mm and height h = 190 mm. Calculate the shear stress due to the load at points located 25 mm from the top surface of the beam. P h Lütfen birini seçin: а. 320 kPa b. 332 kPa c. None d. 455 kPa e. 262 kPa O O O
- QI: By working stress method calculate the maximum concentrated load (P) at free edge of the cantilever beam (2.5 m) span shows below with the section, the beam carries an uniformly distributed dead load (10 kN/m) (with self-weight) if the unit weight of concrete is 24 kN/m .f'c= 22 MPa and fy= 400 MPa. 3 25mm 25 50% 150 200 mm 150A beam of size 150 mm wide, 250 mm deep carries a uniformly distributed load of w kN/m over entire span of 4 m. A concentrated load 1 kN is acting at a distance of 1.2 m from the left support. If the bending stress at a section 1.8 m from the left support is not to exceed3.25 N/mm2 find the load w.ttempt.php?attempt3D1404248&page=8 A cantilever beam of length L= 5 m supports a load P = 8 kN, shown in figure. The beam is made of wood with rectangular cross-sectional dimensions; b = 110 mm and height h = 190 mm. Calculate the shear stress due to the load at points located 25 mm from the top surface of the beam. L. Lütfen birini seçin: a. None b. 262 kPa C. 455 kPa d. 320 kPa e. 332 kPa Sonraki sayfa
- A cantilever beam of cross-section 90 mm. width 120 mm deep carries a UDL of 12 KN/m. over the entire length and a concentrated load of 15 KN at the right end. Find the bending stress in the beam, when the length of beam is 10 m.A simply supported wood beam with a span of L-8 ft supports a uniformly distributed load w. The beam width is b-7 in, and the beam height is h-14 in. The allowable bending stress of the wood is 1110 psi. Determine the magnitude of the maximum load w that may be carried by the beam Answer: wi 1 lb/ft.Derive the formula for the bending stress of a beam with a rectangular cross section and triangular cross secrion. Thank you