A2m rigid bar is carried by three rods as shown. The mechanism is arranged such that it is symmetrical. Refer to the table for the properties of each material. Steel Bronze Allowable stress 140 MPa 120 MPa Modulus of Elasticity 200 GPa 83 GPa Area, A 400 mm2 900 mm2 Length, L 1000 mm Steel Bronze Bronze
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- A steel rod of 30 mm diameter is inserted in a copper tube of external diameter 45 mm and an internal diameter of 37 mm carries a load of W =1750kN. The length of this compound bar is 180 mm. If, ES= 2 × 105 N/mm2and ECu= 1 × 105 N/mm2, calculate the stresses developed in copper and steel.Strength of materials - ENGR 3321 The answer should be: 13.8 MN/m2; 5.94 cm from tip of TTwo rigid bars are connected with a rotationalspring, as shown in the figure. Assumethat the elastic rotational spring constant isβR = 75 kip-in./rad. Calculate the critical load Pcr ofthe system. Assume that L = 6 ft.
- A 5 m long steel rod is fixed vertically and loaded with a mass of 500kg which causes the rod to stretch by 5 mm. It has cross-sectionalarea of 50 mm2. Find the modulus of elasticity of the steel rod.A. 98.06 GPa C. 118.06 GPaB. 138.06 GPa D. 158.06 GPaQuestion 29 An A36 angle bar is used as a tension member connected on both legs with 20 mm . Given that s = 60 mm, calculate the design strength (kN) by LRFD with the limiting state of tensile yielding in the gross area. Write your answer to the nearest whole number. Ag = 1,852 mm2 t = 8 mmThe cross section of the beam in the picture is welded from two flat steel 100x20x2000 mm. So L = 2000 mm. The material is S355 J2 G3 (EN 10025). What is the certainty compared to the yielding? q0 = 19.4 kN/m Correct given answer should be = 4,07
- Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E=35E=35 GPaGPa. Use the following values for the rod lengths and areas: L1=1470L1=1470 mmmm, L2=1590L2=1590 mmmm, L3=1230L3=1230 mmmm, A1=240A1=240 mm2mm2, A2=110A2=110 mm2mm2, and A3=75A3=75 mm2mm2. What magnitude of external load PP is needed to displace end D a distance of uD=30uD=30 mmmm to the right?A flanged bolt coupling consists of six 12-mm diameter steel bolts evenly spaced around a bolt circle 300 mm in diameter, and four 25-mm diameter aluminum bolts on a concentric bolt circle 200 mm in diameter. What torque can be applied without exceeding a shearing stress of 60 MPa in the steel and 40 MPa in the aluminum? Use G of ateel = 83 GPa and G for aluminum = 28 GPa. Express your final answer in N.m to the nearest whole number. Do not include the unit in your answeThe cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 450 × 106 mm4]. Assume P = 50 kN, w = 10 kN/m, LAB = 1.00 m, and LBC = 2.00 m. For the loading shown, determine:(a) the beam deflection at point A.(b) the beam deflection at point B.Determine the component of the beam deflection at point A due to only the uniformly distributed load of w = 10 kN/m.Answer: vA,w = mm. Part 2 Determine the component of the beam deflection at point B due to only the concentrated load of P = 50 kN.Answer: vB,P = mm. Part 3 Determine the component of the rotation angle of the beam at point B due to only the concentrated load of P = 50 kN.Answer: θB,P= rad. Part 4 Determine the component of the beam deflection at point A due to only the concentrated load of P = 50 kN.Answer: vA,P = mm. Part 5 Determine the total beam deflection at point A due to the combined effects of the concentrated…
- Mechanics of Deformable Bodies Problem: The figure shows the upper half of a built up girder( the cross section is symmetric about the neutral axis). All rivets used in fabrication have a diameter of 22 mm. The moment of inertia of the entire cross sectional area of the girder about the neutral axis is l=4770x10⁶mm⁴. The working stresses are 100 MPa for rivets in shear and 280 MPa for bearing of the web plate. If the maximum shear force carried by the girder is 450 kN, determine the largest allowable spacing of rivets that join the angles to the web plate.2. An aluminum rod shown has a circular cross-section and is subjected to an axial load shown.Determine the total elongation of the rod when the load is applied. Take E=70 GPa.An elliptical gate covers the end of a pipe 4m in diameter. Of the gate is hinged at the top, what normal force F is required to open the gate when water is 8m deep above the top of pipe and the pipe is open to the atmosphere on the other side? Neglect the weight of the gate. Find: ħ in kPa Agate in m2 FR in kN ȳ in m I in m4 ycp in m F in kN