W12x65 is used as a column in a commercial building and supported at both ends by the fixed support and has a total height of 5.5m. If the column is A36 steel, determine the following: a. Euler critical load and stress
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W12x65 is used as a column in a commercial building and supported at both ends by the fixed support and has a total height of 5.5m. If the column is A36 steel, determine the following:
a. Euler critical load and stress
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- Q2 A W6 x 15 structural steel column is 24 ft tall and is fixed at its base and top. It is braced (horizontally) at the midspan. These braces are pin-connected to the column's web. Determine the load that the column can support so that it does not buckle nor the material exceeds the yield stress. Use the undermentioned data: = 29 (10) ksi Oy = 60 ksi I = 29.1 in %3D Iy = 9.32 inAsiacell|Asiacel K/s Asiacell For simply supported beam with rectangular cross section shown, determine the values and location of the maximum tensile and compressive bending * stresses 1000 lb 400 lb/ft 6 in DV 8 in 10 ft RA RpA bronze bar is fastened between a steel bar and an aluminum bar as shown in the figure. Axial loads are applied at the positions indicated. The allowable overall deformation is not to exceed 1.2 mm. Assume that the 2P Aluminum L- 1.5 m A= 550 mm E= 70 GPa Steel Bronze L= 2.0 m L= 1.0 m A= 600 mm A= 650 mm E= 200 GPa E= 83 GPa assembly is suitably braced to prevent buckling. Find the maximum permissible value of P.
- The column above is subjected to axial loading only. Assume the following: • E= 29000 ksi G = 10000 ksi • = 986 in4 A = 60 in? • L= 20 ft • Grade 60 steel (60 ksi yield stress) • The column is fixed at the top and pinned at the bottom Which of the following is closest to the maximum normal stress the column can support (before yielding or buckling)? 167 ksi 24 ksi 42 ksi 60 ksiRolled steel section ISWB 300 is used as a column of height 6 m, fixed at base and pinned at top. Find the permissible compressive load on the column using the table of permissible compressive stresses as given in the table below: Cross-section properties of ISWB 300 section are as follows: Area of cross-section = 6133 mm² Flange width= 200 mm 10 mm 7.4 mm 2 dac λ Osc Flange thickness Web thickness = 50 132 13 57 2 = slenderness ratio 60 122 = 1xx Lyy = = 70 112 98.216 x 106 mm4 9.9 x 106 mm4 80 101 90 100 90 80 140 150 160 170 180 51 45 41 37 33 ac = allowable compressive stress in MPa Use linear interpolation for intermediate values of λ. 110 72 190 30 120 64 200 28Assume the transformed steel section reaches its allowable bending stress first. Calculate the magnitude of the allowable bending moment that can be applied in this case. Answer: M- i Ib-in.
- Two T-shape sections are welded together to create a composite l-beam section as shown below. Determine the safely uniform load w (kN/m) that the beam can carry throughout its entire span. 270mm 30mm 20mm 160mm Welded Joint 130mm 30mm 135mm Beam Length = 4 m Consider the following stresses: fb(T) 3 125 МPа fb(C) = 130 MPa x at the welded joint = 20 MPa Find: 1. The Neutral Axis from the base 2. moment of inertia with respect to the horizontal centroidal axis 3. Q at the welded joint 4. Considering the maximum flexural stress in tension, WNAX is equal to KN/m. 5. Considering the maximum flexural stress in compression, WMAX, is equal to 6. Considering the stress at the welded joint, wMex is equal to kN/m.A W6 x 15 structural steel column is 24 ft tall and is fixed at its base and top. It is braced (horizontally) at the midspan. These braces are pin-connected to the column's web. Determine the load that the column can support so that it does not buckle nor the material exceeds the yield stress. Use the undermentioned data: Q2 E = 29 (10)³ ksi Oy = 60 ksi %3D Ik = 29.1 in ly = 9.32 in (This question has no diagram)When designing a structural member, which of the following statements is FALSE? A. The allowable stress is used in calculating the maximum load to be applied. B. The ultimate stress depends on the Factor of Safety used. C. The ultimate stress is determined based on the material used. D. The allowable stress depends on how conservative the design is. Which of the following is NOT a valid reason for increasing the Factor of Safety? A. Higher uncertainty in loading conditions B. Higher design life C. Lower confidence in assumed/stated material properties D. Lower member importance Which of the following occurs when the value of Poisson’s ratio is doubled and the modulus of elasticity is kept constant? a. The lateral deformations experienced by the material is halved b. The volume of the material will remain constant when subjected to external forces c. The elastic region of the shear stress-strain diagram would be less steep d. The material can withstand higher…
- When designing a structural member, which of the following statements is FALSE? A. The allowable stress is used in calculating the maximum load to be applied. B. The ultimate stress depends on the Factor of Safety used. C. The ultimate stress is determined based on the material used. D. The allowable stress depends on how conservative the design is. Which of the following is NOT a valid reason for increasing the Factor of Safety? A. Higher uncertainty in loading conditions B. Higher design life C. Lower confidence in assumed/stated material properties D. Lower member importance Consider a 1,000-mm long, 25-mm diameter sample subjected to a tension test. Automatic high-precision gages recorded that for an applied load of 150 kN, the sample experienced a longitudinal strain of 2×10−3mm/mm. Assuming that the material remained elastic while loaded, determine its modulus of elasticity. A. 175.0 GPa B. 63.7 GPa C. 152.8 GPa D. 72.9 GPaA steel column is pin connected at the top and bottom which is laterally braced and subjected to transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel section has the following properties: A = 13000 mm² r = 94 mm Ix = 300 x 106 mm4 Sx = 1200 x 103 mm³ L = 3.6 m Yield stress Fy = 248 MPa Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148 MPa Members subjected to both axial compression and bending stresses shall be proportioned to satisfy the following requirements: Mry + 9 Mex Mey Determine the axial compressive stress if axial load only existed. Pr 8 Mrx + Pe 75.82 MPa 61.54 MPa 33.96 MPa 16.25 MPa Determine the bending stress if bending moment alone existed. 76.25 MPa O58.33 MPa 13.33 MPa ≤ 1.0 16.59 MPa Determine the value of both axial and bending moment interaction value, considering the amplification due to…An aluminum tube is fastened between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. For Bronze: Allowable stress = 120 MPa, EB = 83,000 MPa For Aluminum: Allowable stress = 120 Mpa, EA = 70,000 MPa For Steel: Allowable stress = 120 MPa, Es = 200,000 MPa Assume that the assembly is suitably braced to prevent buckling. Maximum overall deformation should not exceed 2mm. a) Give the value of the force acting on the bronze so as not to exceed allowable stresses and deformation. b) Give the value of the force acting on the aluminum so as not to exceed its allowable stresses and deformation. c) Give the value of the force acting on the steel so as not to exceed its allowable stresses and deformation.