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The below truss is made from three bars of the same steel material, all of which...
The truss is made from A992 steel bars, each of which has a circular cross section with a diameter of 2.1 in (Figure 1) Part A Determine the maximum force P that can be applied without causing any of the members to buckle. The members are pin connected at their ends. Express your answer to three significant figures and include the appropriate units.
QUESTIONS A truss frame consists of members AB, BC and AC which are made of 25 mm diameter rods. 1. All the joints are pinned. The joint A is pinned to a wall and the joint B is set into a roller which is free to move vertically. The frame supports a point load, P, which is applied at C, as shown in Figure Q1. If the modulus of elasticity of all structures is 210 GPa, yield stress is 200...
The rigid beam ACE is subjected to the load P and suspended at points A, C, and E by three suspender bars AB, CD, and EF (see Figure 1). These three suspender bars are made of the same steel and have the same circular cross section with the same diameter of d=30 mm. The ultimate 2m stress of steel is σu=450 MPa and Young modulus is E=200 GPa. (a) Using a factor of safety FS=1.5, determine the All maximum allowable load...
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. Part A If each bar has a cross-sectional area of \(480 \mathrm{~mm}^{2}\), determine the maximum value of \(P\) if the allowable stress is \(\left(\sigma_{\text {allow }}\right)_{\text {st }}-190 \mathrm{MPa}\) far the steel and \(\left(\sigma_{\text {allow }}\right)_{\text {al }}-150 \mathrm{MPa}\) for the aluminum. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end. The bars can carry either tension or compressive forces. The rigid beam carries a UDL of I kN/m across BC and a point load of P at D as shown in the figure above. The length of the two bars is 3000 mm. The elastic modulus of both bars is 200 GPa and the...
The element ACE is rigid. The three suspender bars are made of the same material (the modulus of elasticity, E, is the same for all members) and have equal cross-sectional areas, A. 1. Superimpose a free body diagram on the provided figure. 2. Clearly draw the 'deformed position of the system. a. Label all forces, distances, and deformations/displacements. 3. Determine the average normal stress in each suspender bars (σAB, σCD, σEF) in terms of P and A. 4. Determine the vertical displacement of point...
The figure shows a plane truss subjected to three vertical forces. The figure shows a plane truss subjected to three vertical forces. All the bars are made of structural steel with Fy 50 ksi. The structure was modeled as an ideal truss (i.e. with pin connections). The forces in all the bars are provided in the axial force diagram below (you do not need to recalculate them) 10k 10 k Ok Gft 12f 12 FE fl You are asked to...
In all the questions below, the material is structural steel with σf = 220 MPa, E = 200 GPa, ν = 0.3, and α = 12×10-6 /℃. Question 3 The circular steel rod (D = 0.1 m) in Figure 3 is constrained by end plates and is subjected to axial load P. Calculate: 1. The internal reaction in AB 2. The internal reaction in BC 3. The maximum value for P for the rod to carry the load with a...
Two bars BC and CD of cross sectional areas 100 mm2 and 50 mm2 respectively rigidly connected at C and also to fixed walls at their other ends as shown in Figure 4. Both bars are made of the same material having an elastic modulus E = 200 GPa and have the same length 0.5 m. An axial load P is applied at C (towards B) as shown in the figure. Find the maximum force P that can be safely...
In all the questions below, the material is structural steel with or= 220 MPa, E = 200 GPa, v=0.3, and a = 12x10-6/°C. Question 1 The steel shaft in Figure 1 is subjected to the torques shown. Calculate: 1. The maximum torque (Tmax) that can be applied for the shaft to operate with a safety margin of 30% (Tresca). 2. The resulting angle of twist of plane B relative to A 3. The resulting angle of twist of plane C...