A W250 x 32.7 section is used as a cantilever beam of length L=6m. The bending stress is not to exceed 120MPa. y 들 B W 를 C X
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- 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 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.The deflection curve for a simple beam AB (sec figure) is given by v=q0L44EIsinxL Describe the load acting on the beam. Deter mine the reactions RAand RBat the supports, Determine the maximum bending moment Mmax.
- Q1/ A beam of uniform section with rigidly fixed ends which are at the same level has an effective span of 10 m. It carries loads of 30 kN and 50 kN at 3 m and 6 m respectively from the left-hand end. Find the vertical reactions and the fixing moments at each end of the beam. Determine the bending moments at the two points of loading.1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine; (a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section modulus S, about the z axis. (b) the bending stress O, at point H (positive if tension, negative if compression). (c) the bending stress y at point K (positive if tension, negative if compression). (d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).
- 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?The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?A beam having a tee-shaped cross section is subjected to equal 13 kN-m bending moments, as shown. Assume bf = 95 mm, tf = 25 mm, d = 165 mm, tw = 40 mm. The cross-sectional dimensions of the beam are also shown. Determine(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H (positive if tensile and negative if compressive).(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.
- Assume the support at B is a roller. Point C is located just to the right of the F = 13-kip load. A) Determine the internal normal force at point C. NC = ? B) Determine the shear force at point C. VC = ? C) Determine the bending moment in the beam at point C. MC = ? D) Determine the internal normal force at point D. ND = ? E) Determine the shear force at point D. VD = ? F) Determine the bending moment in the beam at point D. MD = ?Draw the shear stress diagram and bending moment diagram for a beam with the free body diagram shown below. Identify the location of critical point(s) in the beam. Given AB = 0.5 m, BC = 0.6 mm, and CD = 0.5 m.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.