A solid brass [E = 93 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 23 mm and segment (3) has a diameter of 12 mm. Assume L₁ = 1.9 m, L₂= 1.3 m, L3 = 1.7 m, R = 36 kN, Q = 12 kN, and P = 24 kN. Determine: (a) the deformation of segment (2). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial member. (1) A L₁ R L2 L3 (3) Va D P B C

A solid brass [E = 93 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 23 mm and segment (3) has a diameter of 12 mm. Assume L₁ = 1.9 m, L₂= 1.3 m, L3 = 1.7 m, R = 36 kN, Q = 12 kN, and P = 24 kN. Determine: (a) the deformation of segment (2). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial member. (1) A L₁ R L2 L3 (3) Va D P B C

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

A solid brass [E = 98 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 26 mm and segment (3) has a diameter of 12 mm. Assume L1 = 1.9 m, L2 = 1.3 m, L3 = 1.5 m, R = 40 kN, Q = 12 kN, and P = 22 kN. (a) Determine the axial force in section (1) section (2) and section (3) in kN. and the axial deformation of section (2) (b) Determine the deflection of joint D (positive if downward) with respect to the fixed support at A. in mm. (c) Determine the maximum normal stress in the entire axial member. Give answer in MPa.
just final answer A rigid component ABC is supported by a pin-connected member (1). The member has a rectangular cross-section with dimensions of 54 mm and 48 mm. The elasticity modulus of the material is 169 GPa. If L1=2421 mm, L2=1226 mm, L3=2272 mm, and L4=2072 mm; Determine the maximum normal stress (MPa) in member (1) without buckling.
The normal stress in a piece of structural member is 300 MPa. If the modulus of rigidity G is 85 GPa,
A steel [E=200 GPa] rod with a circular cross section is 10 m long. Determine the minimum diameter required if the rod must transmit a tensile force of 260 kN without exceeding an allowable stress of 240 MPa or stretching more than 10 mm.
A timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.
1. A lever ABC is pinned at C and attached to a 12-mm diameter control cable AD. a. If the allowable tensile stress in the control cable is 140 MPa, what is the maximum safe value of the load P applied as shown in the diagram? b. What is then the shearing stress developed in the 20-mm diameter pin support at C? c. What is the bearing stress between the pin and the 25-mm thick support plates at C?
A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of asquare brass bar 25 mm on a side and 400 mm long, the geometric axis of the bars lying along the same line. An axial tensile force of 5 kN is applied at each of extreme ends. Determine the elongation of assembly. For steel E = 200 GPa and for brass E = 90 GPa
A timber column, 8 in. by 8 in. in cross section, is reinforced on all four sides by steel plates, each plate being 8 in. wide and t in. thick. Determine the smallest value of tfor which the column can support an axial load of 300 kips if the working stresses are 1200 psi for timber and 20 ksi for steel. The moduli of elasticity are 1.5 x106psi for timber and 29 x 106psi for steel.
A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and the length of the steel rod are given as 10 mm and 120 mm,respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,00053. Given that the total extension of the composite rod must not exceed 0,1624 mm and E for steel is 200 GPa, respectively. Determine : A) Strain in the steel rod B) Load carried by the steel and brass rods C) Modulus of elasticity for the brass
2. A bar of thickness 15mm and having a rectangular cross-section carries a load of 120kN. Determine the minimum width of the bar to limit the stress to 200MPa. The bar, which is 1m long, extends by 2.5mm when carrying a load of 120kN. Determine the modulus of elasticity of the material of the bar.
The assembly shown consists of an aluminum shell (E = 70 GPa, a0 = 23.6 x 10/°C) fully bonded to a steel core (E, = 200 GPa, a1 = 11.7 x 10/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 180°C.
A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter D required if the rod must transmit a tensile force of 15 kN without stretching more than 4 mm.