A beam of I section 200 mm wide and 300mm deep with flange and web thickness 20 mm is used as a simply supported beam over a span of 7 m.the beam carries a distributed load of 5 kn/m over the whole span and a concentrated load of 20 kn at mid span determine the maximum bending stress set up and sketch the stress distribution.

A beam of I section 200 mm wide and 300mm deep with flange and web thickness 20 mm is used as a simply supported beam over a span of 7 m.the beam carries a distributed load of 5 kn/m over the whole span and a concentrated load of 20 kn at mid span determine the maximum bending stress set up and sketch the stress distribution.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.10.4P: A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L...

See similar textbooks

Similar questions

A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.
A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension don each side) and E = 12 GPa. If the allowable bending stress in the wood is °aLLow =10MPa, what is the minimum required dimension
A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?
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 rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 120 mm and h1= 100 mm. The maximum allowable bending stress in the plastic beam is emix = 6 M Pa, and the bending moment is M = 150 N · m. Determine the minimum permissible width bminof the beam.
A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.
A beam 8 m span is freely supported at its ends and a udl of 40 KN/m is spread over the whole span of the beam. In addition a concentrated load of 150 KN is applied at a distance of 3 m from the left support. The section of the beam is 200 mm wide and 400 mm deep. Find the maximum bending stress induced in the beam section.
beam carries a concentrated load (10 KN) and a total uniformly distributed load of (5 KN/m) as shown in Fig .Determine the maximum tensile and compressive bending stresses developed in the beam if the T- section is inverted.
A rectangular beam 80 mm x 40 mm is 3m long and simply supported at the ends. It carries a load of 1 kN at the mid-span. Determine the maximum bending stress induced in the beam.
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.
An I section symmetrical beamhas 200mm wide flange and overall depth of 500mm. Each flange is 25mm thickand the web is 20mm thick. Determine the maximum bending moment that should be imposed in the sectionif the tensile or the compressive stressis not to exceed 40MN/m^2 and what percentage of the moment is resisted by flange or web?
A simply supported beam of hollow rectangular cross section is 100mm deep and 60mm wide with a wall thickness of 10mm. The beam has a span of 6m and carries a load as shown . Neglecting the weight of the beam draw a bending moment diagram and calculate the maximum bending moment. And determine the maximum bending stress in the material.