For the cantilever beam shown. find the value of Flexural stress at point F due to :the 4 KN load 4 KN F 6 KN.m E 2 KN 10 m F Diameter=100 mm E
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- Solve the preceding problem for a column with e = 0.20 in,, L = 12 ft, I = 2L7in4, and E = 30 × 106psi.An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.An S6 × 12.5 steel cantilever beam AB is supported by a steel tic rod at B as shown. The tie rod is just taut when a roller support is added at Cat a distance s to the left of £, then the distributed load q is applied to beam segment AC, Assume E = 30 × 106 psi and neglect the self-weight of the beam and tie rod. Sec Table F-2(a) in Appendix F for the properties of the S-shape beam. (a) What value of uniform load q will, if exceeded, result in buckling of the tie rod if L1, =6 ft, s = 2 ft, H = 3 ft, and d = 0.25 in.? (b) What minimum beam moment of inertia ibis required to prevent buckling of the tie rod if q = 200 lb/ft, L1, = 6 ft, H = 3 ft, d = 0.25 in., and s = 2 ft? (c) For what distance s will the tic rod be just on the verge of buckling if q = 200 lb/ft, L1= 6 ft, M = 3 ft, and d = 0.25 in.?
- The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?A simply supported beam of span 3.0 m has a cross-section 120 mm × 180 mm. If the permissible stress in the material of the beam is 10N/mm2,determine(i)maximum udl it can carry (ii) maximum concentrated load at a point 1 m from support it cancarry. Neglect moment due to self weight.
- Determine the moment M that should be applied to the beam in order to create a compressive stress at point D of sD = 10 MPa. Also, sketch the stress distribution acting over the cross section and calculate the maximum stress developed in the beam.Find the maximum stress in the beam if it is fixed at the left end,free at the right end subjected to a uniform distributed load of200 lb/in.A simply supported beam of span 3.0 m has a cross-section 120 mm x 180mm. If the permissible stress in the material of the beam is 10N / mm ^ 2 determine (i)maximum udl it can carry (ii) maximum concentrated load at a point I m from support it can carry. Neglect moment due to self weight.?
- The overhanging beam ABC of span 5.4 m is constructed of a W360 X 216 rolled-aluminium shape. It carries uniformly distributed load, ω of 35 kN/m and point loads of P1 = 30 kN and P2 = 25 kN. b) Find the maximum shear force and maximum bending moment of the beam. After that, Evaluate factor of safety for the beam shown, if the ultimate normal stress for aluminium is 110 MPa.FInd the Magnitude of the Maximum Shear Stress in the below beam and cross-section, if: w = 17 kN/m L = 8 m b = 85 mm h = 178 mm Ensure that your answers are in MPa.A beam carries a uniform distributed load of intensity w in N/m. It was determined that Vmax = 3.75w N, (++)Mmax = 2.53w N-m, (−−)Mmax = 4.5w N-m. From the given cross section shown, ytop = 100mm, ybot = 150mm, and INA = 72.92 x 10 6 mm4. The allowable stresses are as follows: σfT = 40 MPa, σfC = 70 MPa, and τ = 10 MPa. (a) The safe uniform load considering tensile flexural stress is _____ N/m. (b) The safe uniform load considering compressive flexural stress is _____ N/m. (c) The moment of the area about the neutral axis is _____ mm3. (d) The safe uniform load considering maximum shear force is _____ N/m. (e) Based on your analysis, the safe uniform load to recommend is _____ N/m