.a - Use superposition to determine the deflection in the beam Use superposition to determine the deflection at point C. The deflection (vc) at point Cis| EI
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- A W12x50 is used as a column to support an axial compressive load of 145kips. The length is 20feet, and the ends are pinned. Without regard to load or resistance factor, investigate this for stability. (The grade of steel need not be known: the critical buckling load is a function of the modulus of elasticity, not the yield stress or ultimate tensile stress). PROPERTIES OF w12X50: Ag = 14.6in^2, rx = 5.18in, ry = 1.96in, bf/2tf = 6.31, h/tw = 28.1, d = 12.2in, Ix = 391in^4, ly = 56.3in5 5a 5b 5c Alaterally supported beam was designed for flexure. The beam is safe for shear & deflection. The most economical section is W 8 x 13 however the said section is not readily available at the time of the construction. If you are the engineer in charge of the construction what alternative section will be the best replacement? Why? Use: Fy=248 MPa: E=200,000 MPa Designation Ag (mm2) Weight kg/m 1910 19 30 width 24 flange. thickness d (depth) mm 200.41 bf 100.06 W8 x 10 4.32 15 expla'n briefly your cho'ce. (transform your comparative analys's 'nto a narat've form to support your cho'ce) W8 x 13 2477 202.05 101.60 6.48 W6 x 20 3787 157.48 9.27 152.91 102.36 W6 x 16 3058 159.51 10.29 tf Web 5.21 thickness tw Elastic Properties mm 4 Ix x 106 mm 3 Sx x 103 5.84 6.60 6.60 13 16 17 13 126 162 220 167 mm rx 81.79 81.53 67.56 66.04 mm 4 lyx 106 1 1 6 2 mm 3 Sy x 106 17 22 72 36 mm ry 21.36 21.41 38.10244 24.54 Plastic properties mm 3 Zx x 103 145 187 244 192 mm 3 Zyx 103 27 35 110 56…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)
- For axially loaded steel column, how could you determine that your section is safe? In case of failure in your as- sume section, what would be your adjustment in your design to make it safe?A composite column member is fabricated on top of a base plate as shown in the figure. What should be the minimum safe thickness of the plate against punching if the total deformation of the column is 0.72 mm. Given below are the material properties. Material Jallowable Tallowable (MPa) (MPa) |(GPa) Steel 120 60 200 Aluminum 90 45 70 Steel (D- 55 mm Alurmmum (0-110 men) SteelThe uniform aluminum bar AB has a 20 x36-mm rectangular cross section and is supported by pins and brackets as shown. Each end of the bar may rotate freely about a horizontal axis through the pin, but rotation about a vertical axis is prevented by the brackets. Using E= 70 GPa, determine the allowable centric load P if a factor of safety of 2.5 is required
- A 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.Rolled 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 64 200 286 6a 6b 6c Alaterally supported beam was designed for flexure. The beam is safe for shear & deflection. The most economical section is W 6 x 20 however the said section is not readily available at the time of the construction. If you are the engineer in charge of the construction what alternative section will be the best replacement? Why? Use: Fy=248 MPa: E=200,000 MPa Designation W8 x 24 W8 x 21 Weight Ag (mm2) 3787 36 31 width mm kg/m d (depth) 30 157.48 152.91 9.27 W6 x 20 expla'n briefly your cho'ce. (transform your comparative analys's 'nto a narative form to support your cho'ce) W8 x 28 42 204.72 165.99 11.81 5323 4568 201.42 164.97 10.16 3974 210.31 133.86 flange bf thickness tf Web 10.16 thickness tw 6.60 Elastic Properties mm 4 Ix x 106 7.24 6.22 6.35 17 41 34 31 mm 3 Sxx 103 220 398 342 298 mm rx 67.56 87.63 86.87 88.65 mm 4 lyx 106 6 9 8 4 mm 3 Syx 106 72 109 92 61 mm ry 38.10244 41.15 40.89 32 Plastic properties. mm 3 Zx x 103 244 446 380 334 mm 3 Zyx 103 110 166 140 93…
- A W16X31 A992 steel is used as a beam. The beam has a continuous lateral support. The uniformly distributed load shown in the figure is a service load that consists of 50% dead load (included the beam weight) and 50% live load. Using LRFD, determine the following? Note: A992 STEEL Fy = 50 ksi Ag = 9.13 in^2 Zx = 54.0 in^3 a. Ultimate (Governing Load Combo) Maximum Negative Moment (at support) in kips-ft b. Ultimate (Governing Load Combo) Maximum Positive Moment (at midspan) in kips-ft c. The Flexural Capacity of the Beam in kips-ft d. Demand Capacity Ratio of Beam really need answer please25mm 500 mm Data Given Let steel tube denoted as 1 and brass rod denoted as 2 d10= 40mm E1 = 200GPA dii = 30mm E2 80 GPa d2 25mm A composite bar is made up of a brass rod of 25m diameter enclosed in a steel tube, being co-axial of 40mm external diameters and 30mm internal diameter as shown in the figure. They are securely fixed at each end. If the stress in brass and steel are not to exceed 70MPA and 120 MPa respectively find the change in length, if the composite bar is 500mm long. Take E for steel Tube as 200 GPa and brass rod as 80 GPa respectively. (if P is a safe load that can be carried by the materials) *Topic: COMBINED STRESS-AXIAL TENSION AND FLEXURE BENDING: STEEL DESIGN Please solve your Solution in a handwritten Note: It should be handwritten pleaseeee Questions A Tension member with no holes is subjected to axial loads of PD=68kN & PL=64kN.It is also subjected with bending moments of MDy=40kN-m & MLy=55kN-m. Is themember adequate? Steel is of A992 Gr 50 Specs. Use LRFD. Neglect the weight of the beam. Section properties:Lp = 1.863 md=459.99mmtw=9.02mmzx= 1835x10^3 mm^4Lr = 5.305 mLb = 4.8 mbf=191.26mmtf=16mmSx=1611x10^3 mm^4 Sy=195x10^3 mm^4Zy=303x 10^3 mm^4 Cb=1.32