Express the internal shear and moment in the beam as a function of x and then draw the shear and moment diagrams for the beam
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1. Express the internal shear and moment in the beam as a function of x and then draw the shear and
moment diagrams for the beam (see picture)
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- Compute the compressive strength of a WT 12x81 of A992 steel. The effective length with respect to the x-axis is 25 feet 7inches, the effective length with respect to the y axis is 20feet, and the effective length with respect to the z-axis is 20 feet WT12X81 A 23.9 t₁ 1.22 ly 221 d 12.5 k des 1.72 J 9.22 bf 13.0 y 2.70 Cw 43.8 tw 0.705 293Designation Serial size 457x191 ■ Calculate the design tension resistance of the 457 × 191 × 67 UB. Given information from steel section table (assuming S275): Axis y-y cm³ 1296 67 Elastic modulus Wel Axis Z-Z cm³ 153 Mass per metre kg/m 67.1 Depth of section h mm 453.4 Width of section b mm 189.9 Plastic modulus Wpl Axis y-y cm³ 1471 Axis Z-Z cm³ 237 Thickness Thickness Root of web of flange radius tw tf mm r mm mm 8.5 12.7 Buckling parameter U 0.872 Torsional index X 37.9 10.2 Depth between fillets d mm 407.6 Ratios for local buckling Flange Web Cf/tf Cw/tw dm6 0.705 6.34 Warping Torsional constant lw constant IT cm4 37.1 48.0 Area of section cm² 85.5 Second moment of area Axis y-y cm4 29380 Axis Z-Z cm4 kNm 522 1452 Indicative values for S355 steel Mc.y.Rd Nb.z.Rd* for Lcr=3.5m kN 1600 Radius of gyration i Axis y-y cm 18.5 Axis Z-Z cm 4.12; Designation Serial size 67 457x191S ( x³ + 4x² ) dx 1. (e –1) dx (e +1) 2.
- Compute the compressive strength of a WT 12x81 of A992 steel. The effective length with respect to the x-axis is 25 feet 7inches, the effective length with respect to the y axis is 20feet, and the effective length with respect to the z-axis is 20 feet WT12X81 A 23.9 t₁ 1.22 ly 221 d 12.5 K des 1.72 J 9.22 b₁ 13.0 y 2.70 Cw 43.8 tw 0.705 Ix 293in simply supported beam shown in fiy. use: Pey- loe sin 4t Yes-4-) %3D Pet) %3D m = 50 per unit length C = 150 EI=65 l0 IL.in? L/2 L/2View Policies Current Attempt in Progress The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E-200 GPa; 1-370 x 10 mm4]. For the loading shown, determine the beam deflection vc at point C. Assume P-62 kN, w - 28 kN/m, LAB - LBC -2.9 m. LCD - 1.9 m. P W TV D C LBC Answer: VCF LAB B mm. LCD
- 4.5.12 OIC Section Properties Write functions for A, I, c, radius of gyration. Each function works for the three sections below. Example Function name: OICSEC_A() • OICSec_() Etc. 을 + 12 BIP - bhs V, 12(BII-bh) BII -- bha 6/1 - 8Given: H 8kips K, ZK. 1- 20° R₁ RIGID Find: R K₂ 777 R₂ 20¹ K₁ = K₁₂ = K₂ = 1 KIP/in , R₂, Rs K3 R3GIVEN: Cantilever beam and its reactions REQ'D: A) Draw V and M diagrams using relationships and indicate Vmax and Mmax i0k l45k.ft 150 k-ft 6ft -9 ft- 25k V M.
- Problem 6 Determine the force in each member of the trusses. State if the members are in tension or compression. Assume all members are pin connected. Present the results in a final drawing of the truss that shows the value of each member force and a (T) or (C) to indicate the member is tension or compression. 8 ft 25 k D↓ |6ft- 6 ft B 20 k -6 ft 61 E 10 k -6 ft Ccalculate(design) the section of steel beam below. assume any needed information k9/m2 D=400 K%/m D,L L-300 AM 4m Hm C E=10./m2 ebo Mmor=9ullst 37 maxDetermine F4 and-e if the Fr = 880N and-e = 75deg S of w F4 F2 = 568N 3 F1 = 780N 72deg F3 = 350N 5.