1 Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and E, = 105 GPa, deter mine (a) the reactions at A and E, (b) the deflection of point C. Dimensions in mm 100 100 -180--120- Dl Brass E Steel B. 60 kN 40 IN 40-mm diam. 30-mm diam.

1 Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and E, = 105 GPa, deter mine (a) the reactions at A and E, (b) the deflection of point C. Dimensions in mm 100 100 -180--120- Dl Brass E Steel B. 60 kN 40 IN 40-mm diam. 30-mm diam.

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

See similar textbooks

Similar questions

The rigid bar AD is supported by two steel wires of -in. diameter (E = 29 x 10 psi) and a pin and bracket at D. Knowing that the wires were initially taut, detemine (a) the additional tension in each wire when a 120-1b load P is applied at B. (6) the corresponding deflection of point B.
Three cylindrical rods, two steel (AB and CD) and one copper (BC) are joined according to the arrangement and are constrained by rigid supports at A and D. For the load shown and knowing that Ea = 29x106 PSI and Ec = 17.5 x106 PSI, determine (a) the reactions at A and at D
Figure 4 shows two solid cylindrical rods and joined at B. The rod ABC is made of an aluminumfor which E = 70 GPa. Knowing that P = 6 kN and Q = 42 kN, determine the deflection of;a) Point Ab) Point B
A rod consisting of two cylindrical portions AB and BC isrestrained at both ends. Portion AB is made of brass (Eb =105 GPa , α b=20.9 x 10-6/˚C) and portion AB is made of aluminum (Ea =72 GPa , α a= 23.9x 10-6/˚C). Knowing that the rod is initially unstressed, determine (a) thenormal stresses induced in portions AB and BC by a temperature rise of42˚C, (b) the corresponding deflection of point B.
2.75 The plastic block shown is bonded to a rigid support and to a vertical plate to which a 55-kip load P is applied. Knowing that for the plastic used G = 150 ksi, determine the deflection of the plate.2.76 What load P should be applied to the plate of Prob. 2.75 to produce a 116-in. deflection? Solve 2.76
A rectangular cross section steel column of length L, a fixed end at B and supports a concentric load at A as shown. Point A is restrained from moving in one of the vertical planes of symmetry of the column, but allows to move in the other plane by the use of two smooth and rounded fixed plates.(a) Determine the ratio a/b of the two sides of the cross section corresponding to the most efficient design against buckling.(b) Design the most efficient cross section for the column, knowing that L = 45 in., E = 10 x 106 psi, P = 20 kips, and that a factor of safety of 2.7 is required. Answers: (a) _______ (b) _______
A 4-ft section of aluminum pipe of cross-sectional area 1.75 in2 rests on a fixed support at A. The 58-in.-diameter steel rod BC hangs from a rigid bar that rests on the top of the pipe at B. Knowing that the smodulus of elasticity is 29 3 106 psi for steel and 10.4 3 106 psi for aluminum, determine the deflection of point C when a 15-kip force is applied at C.
An aluminum column with a length of L and a rectangular cross-section has a fixed end B and supports a centric load at A. Two smooth and rounded fixed plates restrain end a from moving in one of the vertical planes of symmetry of the column but allow it to move in the other plane. (a) Determine the ratio a/b of the two sides of the cross section corresponding to the most efficient design against buckling. (b) Design the most efficient cross section for the column, knowing that L = 20in., E=10.1 x 10^6 psi, P = 5kips, and a factor of safety of 2.5 is required. Now, replace the pinned boundary condition on top with a fixed boundary condition. You otherwise leave all other aspects of the problem unchanged.
An aluminum column with a length of L and a rectangular cross-section has a fixed end B and supports a centric load at A. Two smooth and rounded fixed plates restrain end a from moving in one of the vertical planes of symmetry of the column but allow it to move in the other plane. (a) Determine the ratio a/b of the two sides of the cross section corresponding to the most efficient design against buckling. (b) Design the most efficient cross section for the column, knowing that L = 20in., E=10.1 x 10^6 psi, P = 5kips, and a factor of safety of 2.5 is required. Consider Sample Problem 10.1. Solve the same problem, but this time replace the pinned boundary condition on top with a fixed boundary condition. You otherwise leave all other aspects of the problem unchanged. Be sure to answer both Part a and Part b. As careful observation, please do keep in mind that two things happen: First, on top, the pinned boundary condition in one place is replaced by the fixed boundary condition in that…
Q1 / Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is made GPa) and rod BC of brass (E = 105 GPa). Determine (a) the total deformation of the composite rod ABC, (b) the deflection of point B.
The length of the 332332 -in.-diameter steel wire CD has been adjusted so that with no load applied, a gap of 116116 in. exists between the end B of the rigid beam ACB and contact point E. Knowing that E = 29 × 106 psi, determine where a 57-lb (w) block should be placed on the beam in order to cause contact between B and E. For contact, x < in.
The rod ABC is made of an aluminum for which E5 70 GPa. Know-ing that P5 6 kN and Q542 kN, determine the deflection of (a) point A, (b) point B.