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- An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.A cantileverbeam^Cßsupportstwo concentrated loads Ptand A, as shown in the figure. Calculate the deflections SBand 8Cat points B and C, respectively. Assume Px= 10 kN, P\ = 5 kN, L = 2.6 m, E = 200 GPa, and / = 20.1 x I0ft mm4.Plot the load-deflection diagram for a pinned-end column with eccentric axial loads (see figure) if the eccentricity e of the load is 5 mm and the column has a length L = 3.6 m, moment of inertia L = 9,0 × 106 mm4, and modulus of elasticity E = 210 GPa. Note: Plot the axial load as ordinate and the deflection at the midpoint as abscissa.
- The cantilever beam ACE shown in the figure has FlexuraI rigidity EI = 2,1 x 106kip-in". Calculate the downward deflections Scand 8Sat points C and B, respectively, due to the simultaneous action of the moment of 35 kip-in. applied at point C and the concentrated load of 2,5 kips applied at the free end B.An object of weight Wis dropped onto the midpoint of a simple beam AB from a height h (see figure). The beam has a rectangular cross section of area A. Assuming that h is very large compared to the deflection of the beam when the weight PFis applied statically, obtain a formula for the maximum bending stress crniilx in the beam due to the falling weight.The frame A BC support s a concentrated load P at point C (see figure). Members AB and BC have lengths h and fh respectively. Determine the vertical deflection Scand angle of rotation $c at end C of the frame, (Obtain the solution by using the modified form of Ca s tig] i a no s theorem.)
- picture given below; There is a uniformly distributed load on the beam, which is made of Al2010 (T4) alloy T-profile and is connected to the '' A '' sliding bearing with '' B '' articulated fixed support. The safe compression and tensile normal stress of the beam is σ = 100MPa. The beam weight will be neglected.Q-1) Calculate the support reactions by drawing the FBD of the beam.Q-2) Your beam; a) Draw the shear force diagram. b) Draw the moment diagram and determine the maximum moment.Q-3) Find the x and y axis coordinates of the center of gravity of the cross section area of the beam with the T-profile dimensions.Q-4) Find the moments of inertia with respect to the vertical and horizontal axes passing through the center of gravity of the T-profile cross-sectional area.Q-5) Find the tensile and compression stresses caused by bending on the T-profile beam and check the safe carrying condition of this load.Q-6) How many mm should the pin diameter '' d '' be in order to carry the pin…The deflection at x = 3L/4 is Select one: -17WL 384EI O a. -513wL* 6144EI Ob -81 wL 6144EI -57WL 6144EI Cd.The deflection at x = 3L/4 is Select one: a. -17wL 384EI O b. -81wL 6144EI O c. -57wL 6144EI Od. -SwL* 384EI
- A uniform bar is simply supported at the ends, carries a concentrated load P at the mid span. If the same load be alternatively, uniformly distributed over the full length of the bar. What will be the decrease in maximum deflection of the bar.0/10 FIND DEFLECTION IN Aluminum. IF E st= .200000 MPa, Ealu.=70000 MPa 100 kN RALU=30 MM Aluminum Steel 1 m RST 20 MMAlt Gr Ctri 2. The force P is acting onto the beam ABC through the rigid arm BD. Considering the effects of P at the point B and using Singularity Functions determine the deflection of the end point C. (EI is constant for ABC). D L/2 L/2 SHOT ON MI 6 MI DUAL CAMERA