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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- A cantilever beam, a C12 x 30 section, is subjected to its own weight and a point load at B. Find the maximum permissible value of load f at B (kips) if the allowable stress in tension and compression is o\. =18 ksi.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?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.?
- Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.A steel W 310 x 52 column is pin-supported at the ends and has a length L = 4 m. The column supports two eccentrically applied loads J\ = 750 kN and P2= 500 kN (see figure). Bending occurs about axis 1-1 of the cross section, and the eccentric loads are applied on axis 2-2 at distances of 200 mm from ccntroid C. Calculate the maximum compressive stress in the column. Assume that modulus elasticity E = 200 GPa.A fiberglass bracket A BCD with a solid circular cross section has the shape and dimensions shown in the figure, A vertical load P = 40 N acts at the free end D. Determine the minimum permissible diameter ^nwi °f tnc bracket if the allowable bending stress in the material is 30 MPa and/? = 37 mm. Note: Disregard the weight of the bracket itself. If d = 10 nun, b = 37 mm, and= 30 MPa, what is the maximum value of load P if vertical load P at D is replaced with horizontal loads P at B and D (see figure part b)?
- Q-5 Find the maximum tensile and compressive flexure stresses for the cantilever beam shown in fig 130 4 kNim A 200 kN INA: loo.lo mmpicture given below; There is a uniformly distributed load on the beam, which is made of Al2010 (T4) alloy T-profile and is connected to the '' A '' sliding bearing with '' B '' articulated fixed support. The safe compression and tensile normal stress of the beam is σ = 100MPa. The beam weight will be neglected.Q-1) Calculate the support reactions by drawing the FBD of the beam.Q-2) Your beam; a) Draw the shear force diagram. b) Draw the moment diagram and determine the maximum moment.Q-3) Find the x and y axis coordinates of the center of gravity of the cross section area of the beam with the T-profile dimensions.Q-4) Find the moments of inertia with respect to the vertical and horizontal axes passing through the center of gravity of the T-profile cross-sectional area.Q-5) Find the tensile and compression stresses caused by bending on the T-profile beam and check the safe carrying condition of this load.Q-6) How many mm should the pin diameter '' d '' be in order to carry the pin…@List tus types of vet Jonds bA Cantilever bbeam is nveted to a Column hivets at Pownts a,b,c,d ande as Shown below An eccentric Load beam as Sheidn. If The Permissible Shear Stress. 2=95N/mm2 Detomine 80L0ad On nivet a. ) Diameter of rwet b rwet Jonts fivE of 70KN is Supported On the OoLumn 70KN 104cm- 9. C 8Ocm K Contilever Beam
- Given in the figure is a rigid beam with negligible mass is pinned at one end and supported by two rods. The beam was initially horizontal before the load was applied. If P-150 kN. Find the elongation of steel, aluminum, and vertical movement of P. Sieel E-200 GPa A-600 mm2 L-Am Aluminum E-70 GPa A-900 mm L-3m 3m- -2m- Im-l P= 150 KN4-2 A cantilever beam shown in Fig. P4-2 supports a uniform service (unfactored) dead load of 1 kip/ft plus its own dead load and a concentrated service Sasen (unfactored) live load of 12 kips, as shown. The concrete is normal-weight concrete with f = 4000 psi and the steel is Grade 60. Use load and strength-reduction factors from ACI Code Vides Sections 9.2 and 9.3. For the end section shown in Fig. P4-2b, compute OM, and show that it ex- ceeds M-Q-5. Calculate the maximum allowable internal bending moment M that can be applied to the beam. The cross-section of a steel I beam is as shown in the figure. The allowable tensile and compressive stress values are oallowable tensile =165 MPa and %3D compressive dallowable = 150 MPa . 4 cm 30 cm 30 cm M 4 cm 4 cm