Problem Set 3: The overhanging beam carries a uniformly distributed load totaling 8W and two concentrated loads of magnitude W each. Determine the safe value of W if the working stresses are 3 000 psi in tension and 10 000 psi in compression. W 8W W Lam AV BV V VC 1 in 12 in 4ft 16ft 4ft D 8 in 1 in
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- Assume that the axial load P = 40kN applied to the lap joint is distributed equallyamong the three rivets. What is the smallest diameterof the rivetif the allowable stresses are 90 MPa for bearing between a plate and a rivet, and 40MPa for shear in rivets?A) Define the bending stress as relates of beams. B)A fixed AB length 3m carries a point load of 45KN at a distance of 2m from A.if the flexural rigity (i.e. EL)is 1×10^4KNm^2, determine: I) fixed end moment A and B II) Deflection under the load III) the maximum deflection IV) The position of the maximum deflection.A beam has a uniform dead load and live load has a fixed support at both ends. If the beam properties are given below, what is the stress at bottom of the beam section at the midspan. (MPa) Properties: Beam width = 270 mmBeam height = 375 mmWLL = 14.38 kN/mWDL = 18.41 kN/mSpan of the beam = 8 mPrestressing force = 481 kNeccentricity = 103 mm
- Taking into account only the effect of normal stresses, determine the strain energy ofthe prismatic beam AB for the loading shown. M0 (11kNm), L (3.4m), a (1cm), b (7cm) , d (14cm) , E (185GPa) , G (75GPa)PLEASE ANSWER ASAP TY! A 2-m long cantilever beam carries a uniformly distributed load of 10KN/m over its entire length. The beam has a rectangular cross-section with dimensions 200 mm wide and 400mm high. a) Determine the maximum flexure stress in the beam (in MPa). b) Determine the moment of inertia about the neutral axis of the cross-section (in mm4) c) Determine the magnitude of bending moment at a section 0.5m from fixed support (in KN-m). d) Determine the absolute maximum bending moment along the length of the beam (in KN-m).Thumbs-Up will be given. Write the complette solutions legibly. Answer in 3 decimal places. Please answer all since they are all subquestions. Thanks Structural Theory 1d. Determine the vertical reaction R₂ in kN 1e. Determine the shear at midspan between vertical supports in kN. 1f. Determine the maximum factored load moment in the beam in kN.m
- A beam with a wide-flange cross section (seefigure) has the following dimensions: b =120 mm,t = 10 mm, h = 300 mm, and h1 = 260 mm. The beamis simply supported with span length L = 3.0 m.A concentrated load P =120 kN acts at the midpointof the span.At a cross section located 1.0 m from the left-handsupport, determine the principal stresses σ1 and σ2and the maximum shear stress τmax at each of thefollowing locations: (a) the top of the beam, (b) thetop of the web, and (c) the neutral axis.The main beam of UB 610 x 229 x 101 kg/m in steel grade S275 supportssecondary beamsof UB 406 x 140 x 39 kg/mon its top flange.The schematic diagram of the floor supported by the beams is presented in Figure 1. b)The slab floor is reinforced concrete 150 mm thickwith 50 mm screed on top of it. The slab floor carriesthe uniform distributed load of 400 kg/m2.Calculate the ULS load on the secondary beam. 4xxx= 4715 1xxx= 1715 50xx= 5015The deck of a bridge consists of ribbed metal deck with100mm concrete slab on top. The deck is supported by wide flange steelbeams strengthened by cover plates 16mmx250mm one at the top and oneat the bottom. The beams are simply supported over a span of 25m andare spaced at 1.20m on centers. The beam loads are shown below. Unitweight of concrete is 23.50kN/m3. a.) Determine the maximum bending stress in the cover plated beam dueto live load plus impact, MPa b.) Determine the average web shear stress in the beam due to liveload plus impact, MPa.
- A steel column carries moment Mx = 11kN.m and My = 16.5 kN.m and an axial load of 220 KN. The steel section has the following properties:A = 7420 mm² ry = 50.4 mmSx = 693x10³ mm³ Sy = 186x10³ mm³K = 1.0 L = 6 mFy = 400 MPa E = 200000 MPaTx = 108 mm Cm = 0.85Axial compressive stress that would be permitted if axial force alone existed Fa = 72.54 MPa. Compressive bending stress that would be permitted if bending moment along the x-axis alone existed Fbx = 240MPa (0.60 Fy). Compressive bending stress that would be permitted if bending moment along the y-axis alone existed Fby = 300MPa (0.75 Fy). 1. Which of the following gives the axis compressive stress if axial load only existed. a. 30.45 MPa b. 27.82 MPa c. 28.46 MPa d. 29.65 MPa 2. Which of the following gives the bending stress if bending moment alone existed. a. 105 .48MPa b. 106.73 MPa c. 104.58 MPa d. 102.37 MPa 3. Using the…Data are as follows: P = 6.2 kN, L = 3.2 m, d = 1.25 m, b = 80 mm, t = 25 mm, h = 120 mm, and h1 = 90 mm. (1) Locate the position of the neutral axis in the cross section as shown in Fig.3-a. ((2) Determine the maximum tensile stress σt,max and maximum compressive stress σc,max due to the load P acting on the simple beam AB, if the cross section has the moment of inertial about the neutral axis is IZ = 5.88×10-6 m4. A freight-car axle AB is loaded approximately as shown in Fig.3-b, with the forces P representing the car loads and the forces R representing the rail loads. The diameter of the axle is d = 82 mm, the distance between centers of the rails is L, and the distance between the forces P and R is b = 220 mm. Please calculate the maximum bending stress σmax in the axle if P = 50 kN.The wooden members in the simple truss below have the following capacity: Shear parallel to grain = 1 MPa, Compression parallel to Grain = 11MPa, Compression perpendicular to Grain = 5 MPa 1. Find the minimum safe x. a. 73 mm b. 160 mm c. 148 mm d. 112 mm 2. Find the minimum safe y. a. 15.97 mm b. 19.45 mm c. 9.14 mm d. 18.28 mm 3. Determine the stress in member AC. a. 1.13 MPa b. 1.258 MPa c. 1.224 MPa d. 1.04 MPa