6-12L The composile beam is made of steel (A) bonded to bras (8) and has the aros section shown. II the allowable bending stress for the sted s (ra}- 180 MPa, and for the bras (oae 60 MPa, delermine the matimum moment M that can be appled to the beam. -100 GGPa, E-200 GPa Imin 200 mm M 175
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- 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.?-12 A "trapeze bar" in a hospital room provides a means for patients to exercise while in bed (see figure). The bar is 2.1 m long and has a cross section in the shape of a regular octagon. The design load is 1.2 kN applied at the midpoint of the bar. and the allowable bending stress is 200 M Pa. Determine the minimum height h of the bar. (Assume that the ends of the bar are simply supported and that the weight of the bar is negligible.)A square wood column with side dimensions b (see figure) is constructed of a structural grade of southern pine for which Fc= 10,5 MPa and E = 12 GPa. An axial force P = 200 kN acts on the column. If the dimension b = 150 mm, what is the maximum allowable lensth Lmax, of the column? If the length L = 4.0 m, what is the minimum required dimension bmin?
- Determine the plastic modulus Z and shape factor/for a W 12 x 14 wide-flange beam. Obtain the cross-sectional dimensions and section modulus of the beam from Table F-l(a) in Appendix F.8-49 Using transformed sections, determine the maximum bending stresses in each of the two materials tor the composite beams shown in the figures when subjected to positive bending moments of 80 kN.m each.Esteel, = 210GPa and E aluminium = 70 GPa.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
- Problem 3 only, solve carefully, include the units in every step and draw the diagram. Thanks! In a 2.5 m cantilevered I-beam, 2500 kg weight is applied at 0.75 meter from the free end. If the allowable stress inbeam is 120 Mpa, determine theA. section modulus, in3 B. The base and height of the beam if the base is 75% of its height, mm11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation. The simple beam DE is a rectanglular wood beam (100 mm300 mm in cross section) with Ebeam=10GPa. A steel rod AC (Erod=200GPa) of diameter 6mm and length 3m serves as a hanger to strengthen the beam DE. The hanger fits snugly between the beams before the uniform load (q is 6kN/m) applied to beam DE. Using the superposition method, determine the tensile force F in the hanger and the maximum bending moments Mmax in beam DE.In a 2.5 cantilevered I-beam, 2500 kg weight is applied at 0.75 meter from the free end. If the allowable stress in beam is 120 Mpa, determine the section modulus and The base and height of the beam if the base is 75% of its height mm.
- A beam carries a uniform distributed load of intensity w in N/m. It was determined that Vmax = 7.5w N, (+)Mmax = 5.2w N-m, (-)Mmax = 4.5w N-m. From the given cross section shown, ytop = 64.183 mm, ybot = 135.817 mm, and INA = 25.059 x 10 6 mm4. The allowable stresses are as follows: σfT = 30 MPa, σfC = 60 MPa, and τ = 10 MPa. a. The safe uniform load considering tensile flexural strees is _____N/m b. The safe uniform load considering compressive flexural stress is _____ N/m. c. The moment inertia of the area about the neutral axis is _____ mm^3. 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.An object of weight Wis dropped onto the midpoint of a simple beam AB from a height h (see figure). The beam has a rectangular cross section of area A. Assuming that h is very large compared to the deflection of the beam when the weight PFis applied statically, obtain a formula for the maximum bending stress crniilx in the beam due to the falling weight.A retaining wall (Fig. a) is constructed using steel W-shape columns and concrete panel infill (Fig, b). Each column is subjected to lateral soil pressure with peak intensity q0(Figs, b and c). The tensile and compressive strength of the beam is 600 MPa. Select the most economical W 360 section from Table F-l(b) based on safety factor of 3.0.