intensity q = 10.8 kN/m and a concentrated load P = 25 kN at a distance a = 2.5 m from RH end (see figure). a. Calculate the maximum bending stress due to the load if the beam has a rectangular cross section with width b = 150 mm and height h=320 mm. You will need to set up Shear and Moment functions to determine MMax- b. Calculate the shear stresses in the beam (at the location of maximum shear force) at points located at the Neutral Axis and 40 mm, 80 mm, 120 mm and 160 mm from the N/A of the beam. From these calculations, plot a graph showing the distribution of shear stresses from top to bottom of the beam. L 'H a X kod h

intensity q = 10.8 kN/m and a concentrated load P = 25 kN at a distance a = 2.5 m from RH end (see figure). a. Calculate the maximum bending stress due to the load if the beam has a rectangular cross section with width b = 150 mm and height h=320 mm. You will need to set up Shear and Moment functions to determine MMax- b. Calculate the shear stresses in the beam (at the location of maximum shear force) at points located at the Neutral Axis and 40 mm, 80 mm, 120 mm and 160 mm from the N/A of the beam. From these calculations, plot a graph showing the distribution of shear stresses from top to bottom of the beam. L 'H a X kod h

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 5.8.7P: A steel beam of length L = 16 in. and cross-sectional dimensions h = 0.6 in. and h = 2 in. (see...

See similar textbooks

Similar questions

-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress raver (obtained by dividing the shear force by the area of the web) and the ratio i^/t^. The shear force i^/t^ carried in the web and the ratio V^tV. Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-6 Dimensions of cross section: b = 120 mm, a = 7 mm, h = 350 mm, hx= 330 mm, and K=60kN.
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress t (obtained by dividing the shear force by the area of the web) and the ratio tmax/taver. The shear force Vweb/V carried in the web and the Vweb/V. Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-1 Dimensions of cross section: b = 6 in,, ï = 0.5 in., h = 12 in,, A, = 10.5 in., and V = 30 k.
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress raver (obtained by dividing the shear force by the area of the web) and the ratio i^/t^ The shear force carried in the web and the ratio V^tV. Noie: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-3 Wide-flange shape, W 8 x 28 (see Table F-L Appendix F); V = 10 k
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress raver (obtained by dividing the shear force by the area of the web) and the ratio i^/t^ The shear force carried in the web and the ratio V^tV. Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-4 Dimensions of cross section: b = 220 mm, f = 12 mm, h = 600 mm, hx= 570 mm, and V = 200 kN.
A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to the 2 axis (see figure). Determine the orientation of the neutral axis and calculate the maximum tensile stress et and maximum compressive stress ecin the beam. Use the following data: C 8 × 11.5 section, M = 20 kip-in., tan0=l/3. See Table F-3(a) of Appendix F for the dimensions and properties of the channel section.
A beam with a channel section is subjected to a bending moment M having its vector at an angle 8 to the 2 axis (see figure). Determine the orientation of the neutral axis and calculate the maximum tensile stress tt and maximum compressive stress crc in the beam. Use a C 200 × 20.5 channel section with M = 0.75 kN - m and 0 = 20°.
A wood beam 8 in. wide and 12 in. deep (nominal dimensions) is reinforced on top and bottom by 0,25-in.-thick steel plates (see figure part a), (a) Find the allowable bending moment A/max about the z axis if the allowable stress in the wood is 1100 psi and in the steel is 15,000 psi, (Assume that the ratio of the moduli of elasticity of steel and wood is 20.) (b) Compare the moment capacity of the beam in part a with that shown in the figure part b which has two 4 in. × 12 in, joists (nominal dimensions) attached to a 1/4 in, × 11.0 in, steel plate.
A singly symmetric beam with a T-section (see figure) has cross-sectional dimensions b = 140 mm, a = 190, 8 mm, b. = 6,99 mm, and fc = 11,2 mm. Calculate the plastic modulus Z and the shape factor.
Find expressions for shear force V and moment Mat x = 2L/3 of beam (a) in terms of peak load intensity q0 and beam length variable L. Repeat for beam (b).
The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?
A steel beam ABC is simply supported at A and fiand has an overhang BC of length L = 150 mm (see figure). The beam supports a uniform load of intensity q = 4,0 kN/m over its entire span AB and l.5g over BC. The cross section of the beam is rectangular with width h and height 2b. The allowable bending stress in the steel iso"a|]ûW = 60 MPa, and its weight density is y = 77.0 kN/m . Disregarding the weight of the beam, calculate the required width b of the rectangular cross section. Taking into account the weight of the beam, calculate the required width b.
(a) A simple beam AB with length L and height h supports a uniform load of intensity q (see the figure part a). Obtain a formula for the curvature shortening A of this beam. Also, obtain a formula for the maximum bending stress b in the beam due to the load q. Now assume that the ends of the beam are pinned so that curvature shortening is prevented and a horizontal force H develops at the supports (see the figure part b). Obtain a formula for the corresponding axial tensile stress t . Using the formulas obtained in parts (a) and (b), calculate the curvature shortening , the maximum bending stress b, and the tensile stress t for the following steel beam: length L = 3m, height h = 300 mm, modulus of elasticity E = 200 GPa, and moment of inertia I = 36 x 106 mm4. Also, the load on the beam has intensity q = 25 kN/m. Compare the tensile stress tproduced by the axial forces with the maximum bending stress bproduced by the uniform load.