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- A cast iron beam is of I– section as shown in Figure (3). The beam is simply supported on a span of 5 m. If the tensile stress is not to exceed 20 N/mm2, find the safe uniformly load which the beam can carry. Find also the maximum compressive stress. -80 mm- 20 mm 169.34 mm 200 mm 20 mm N 90.66 mm 40 mm 160 mm Figure (3)The compound bar carries axial loads as shown. Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 inch and the working stresses listed in the table are not to be exceeded. Steel 2 ft Bronze 4 ft Aluminum 3 ft 2P 3P 4P A (in.?) E (psi) a. (psi) Steel 0.75 30 x 10 20000 12 x 10 10 x 10 Bronze 1.00 18000 Aluminum 0.50 12000A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below.The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm.Parameter Description Value UnitsL - Beam length 250 mma - Width of the flange 80 mmd - Height of the web 75 mmσ - Yield stress 250 MPaYou are tasked with ensuring the beam can withstand the applied loading. To do this you must:a) Calculate the centroid for the given cross-section. Your value of ?ത should be measured fromthe bottom of the section. Determine an expression for Q (statical moment of area) for thegiven shape. The expression(s) for Q should be in terms of the variable, y, measured from thebottom of the section. b) Create a graph of the shear and bending stresses at the fixed support (B) over the crosssection. The stresses should be plotted as a function of y, measured from the bottom of thesection.
- Q// A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in Figure below. Axial loads are applied at the positions indicated. If P = 11 KN and the cross sectional area of each rod is 312.5 mm', determine the stress in each section. 4P Steel Bronze Aluminum P 609.6 mm 914.4 mm 762 mmQ4 (b) Figure Q4(a) shows a steel beam with length of 4 m that is supported by a steel column at point B. The steel column of AB has a rectangular cross section (40 mm× 70 mm). The ends are assumed to be pin connected. The yield stress of steel is o y 250 MPa. The Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 1.5. (i) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle.P 130 mm 25 mm 25 mm P P 3. Assume that the axial load P applied to the lap joint is distributed equally among the three 20-mm-diameter rivets. What is the maximum load P that can be applied if the allowable stresses are 40 MPa for shear in rivets, 90 MPa for bearing between a plate and a rivet, and 120 MPa for tension in the plates?
- The following steel circular bar (Es = 200 GPa) is divided into two segments. Segment 1 is tubular and segment 2 is solid. Determine the distance "x" so that the bar does not exceed a total deformation of 2.5 mm. The load P is equal to 25 kN, the diameter d is equal to 30 mm, and the length L is equal to 10 m.The working load P on the propped cantilever shown are each 150 kN. If the yield stress of mild steel is 300 MPa, determine the plastic section modulus in cubic millimeters, using a load factor of 1.75 against collapse. (express your response this way, x,xxX,XXX.X). Pu Pu 1.1 2m B A 2m 2mA steel beam is bolted to a steel girder by a connection similar to that in the figure shown below. The diameter of the bolt is 13 mm, and the thickness of each angle bar is 4 mm. For each bolt, assume that the allowable bearing stress is 228 MPa. Find the allowable load in kN on the connection. Assume the thickness of the web of the beam to be 6 mm and the thickness of the web of the girder to be 11 mm The final answer should include two decimal places
- The intensity of the triangular load carried by the T-section varies from zero at the free end to wo at the support. Find the maximum safe value of wo given that the working stresses are 4000 psi in tension and 10 000 psi in compression.A 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…Question 5 A steel column with a rectangular hollow section is subject to a vertical downward load P1 and a horizontal load P2, as shown in Figure 5 below. If the width of the hollow section is 70mm and the thickness is 5mm, determine the maximum compressive stress at the base of the column. P1=500KN, P2=100kN. e P1 P2 e =110mm Top plate- P2 P1 Im 120mm 120mm (b) Top view showing location of loads (a) Column elevation Figure 5: The cantilever column is fixed at the base. (30 marks)