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 P so that the stresses in all three suspender bars will not exceed the allowable stress σall (σall = σu/FS) AND the maximum deflection Figure 1 will not exceed 2 mm.
(b) If bars AB, CD, and EF have different diameters, what should you do to determine the maximum allowable load P? Explain without calculation.
The rigid beam ACE is subjected to the load P and suspended at points A, C, and E
practice exam for mechanic of material Problem #3: The rigid be m The rigid beam ACE is u sed the suspender bars. Bars AB der hars Bars AB and EF are made of aluminum and har CD is made of steel. Each barha and bar CD is made of steel Fach har has a cross-sectional area of 900 mm, Ex - 200 GPa, E-70 GPa P-20 KN. al 2 m 5 -15 Fox 190 0 3 FAQ +15 Foc 390...
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. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
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...
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point C. (1) Sketch the deflection curve of the beam. (2 marks) t (ii) Derive the bending moment deflection, slope deflection and deflection equation at b-b using Double Integration Method. (10 marks) FIGURE Q3 (a) Calculate the maximum deflection. Given: = 10 m a = 3 m P = 25 KN El is constant d 100 mm D (5 marks) 200 mm t6 mm (b)...
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...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
The below truss is made from three bars of the same steel material, all of which have circular cross sections with different diameters. The Young modulus of steel is E= 200 GPa, and yield stress of steel is Gyöeld=200 MPa (in both tension and compression). The force P=7 kN is applied at point C as shown (see Figure 4). All bars are pin connected at their ends. (a) Determine the minimum diameter of the bars so that buckling will not...
A 25mm diameter steel rod 1.5m long is being used in a rigid structure. For this steel the Ultimate Tensile Stress is 410 MPa Young’s Modulus is 200 GPa The rod is to be subjected to a tension load of 40 kN. Design requirements are that the rod cannot extend by more than 0.5 mm and that there is a Factor of Safety of 5 for the tensile stress. Determine whether or not the rod is adequate for the task:...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...