An aluminum rod is rigidly fastened between a bronze rod and a steel rod as shown in the figure (1). Axial loads are applied at the positions indicated.Evaluate the deformation of each rod under given load and the total deformation of the system.Draw neatly the free body diagramsEB =110 GPa, EA =120 GPa and Es =140 GPaUse the last Two digits of your ID Number for the missing force P_N750.7 m0.6 m0.5 mAlBrPNSt50 N25 N8 mm12 mm10 mm

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Answered: An aluminum rod is rigidly fastened…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An aluminum bar having a cross-sectional area of 160 mm2 carries the axial loads at the positions shown in the figure. If Modulus of elasticity is 70 GPa, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling.
Gkuestrons T ØD VP The figure (not drawn to scale) shows a metallic cylindrical column submitted to a combined load: bending and torsion. The column contains an hemispherical groove of radius r, located at a distance L from the point of application of the loads. You are given the column diameter D = 68 mm, the groove radius r = 6 mm, the distance L= 200 mm, the bending load P=5 kN, and the torque T = 600 N.m. The material data are Young's modulus E = 122 GPa Shear Modulus G = 55 GPa Poisson's ratio v= 0.1 and Yield strength oy = 380 MPa. a) Write a numbered list of the calculation steps required to obtain the factor of safety in yielding based on the maximum distortion energy (Von Mises) criterion.
Calculate the maximum load (P) that can be supported by the knuckle joint that shown in the figure below. The joint material has the following allowable stresses: tensile stress = compressive stress -50 Mpa, shear stress =35 Mpa and crushing stress = 90 Mpa. (Assuming: the load is applied statically). P- C1 78 mm C1 78 mm C2 C3 C3 156 mm 98 mm C4 C1 C5 C1 60 mm C4 C5 P. C5 C2
2. Refer to the figure below. In addition to the load at point D, if another load Q (Q=10F) along x direction acts at the center of the right end section of bar OABC, solve for the maximum load F with a safety factor of 2.0 using the maximum shear stress theory. Find the stresses at the origin point O. Assume the yield strength of the steel is 42 kpsi with v=0.3. Hints: The centroid of a semicircle lies at a distance of 4r/(3) measured along the vertical radius (r) or y-direction. 2 in. 1-in D. -in R. 1-in D. 12 in 15 in 1-in D.
please solve step by step and correctly
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P=33P=33 kipskips is applied to the assembly at A, two loads of Q=30Q=30 kipskips are applied at B, and two loads of R=35R=35 kipskips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 1717 ksiksi. The normal stress magnitude in steel rod (2) must be limited to 3030 ksiksi. The normal stress magnitude in brass rod (3) must be limited to 2121 ksiksi. Determine the minimum diameter required for each of the three rods.
The figure below shows a section of a column subjected to load P, which is applied 50 mm from the midline of the section's web. The column is made from material, which has an allowable normal stress of 180 MPa (both in tension and compression). The area of the section is 10050 mm?; the principal moments of inertia Imar = 146.554x106 mm and Imin 20.076x10° mm*. !! Determine the maximum allowable load P. 15 mm 150 mm 15 mm 150 mm 50 mm 15 mm 100 mm 100 mm 1194.6 kN 363.6 kN 1809.0 kN O 516.4 kN O 189.5 kN
Aluminum tube AB is fixed on support A, and the load P=60 KN is applied on Steel rod BC that is welded to tube AB via plate B. The cross-section area of the tube is equal to 1100 mm2 and the diameter of the rod is equal to 15 mm. calculate the axial deformation of point C? (Esteel=200GPa and EAl=70GPa)
A steel torsion bar AB with diameter d = 34 mm, and ductile material of tensile yield strength Sy = 276 MPa is attached to a rigid arm at A, supported by a bearing at C, and fixed at B, as the picture shows. At the right end of the arm is mounted the wheel on which the vertical force P acts from the ground and which passes through the center of the wheel. If bearing C acts as a simple support and the effect of transverse shear due to P is negligible, determine the maximum force P (in kN) that can be applied to the wheel. Consider a factor of safety n = 2.5. Use the maximum energy of distortion failure criterion and do the analysis on bar AB (torsion bar) in the section where the bearing is.
While the ABCD rigid beam shown in the figure is simply supported from the A point, it is supported by vertical BF and CE bars from the B and C points, respectively. There is no tension in the bars in the unloaded condition. Considering that the length of the BF rod is 800 mm in addition to the given dimensions, if a strain value of -600 um / m unit occurs in the BF rod when a vertical P load is applied from the D end, the elongation amount in the CE rod will be the following in mm.
So 1 2 and 3
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