2) The composite shaft shown consists of a hollow brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has an outer diameter of 1.25 in., wall thickness of 0.125 in, a length of 6 in., a shear modulus of 5,600 ksi. Aluminum segment (2) has a diameter of 0.75 in., a length of 8 in., a shear modulus of 4000 ksi. If a concentrated torque of 6 kip-ft is applied to flange B, determine: (a) the internal torque, kip-ft, in segment (2); (b) the maximum shear stress magnitudes, in ksi, in segment (2); (c) the rotation angle, in degrees, of flange B respect to support C. Indicate if the angle is positive or negative. No FBD/s of section/s showing the internal torques and direction/sign of the angle of twist will invalidate your oslution. Solid shaft: J = (tt/32 )(D4) Hollow: J= (tt/32)(D4-d4) 6 in. (1) B 8 in. (2)

2) The composite shaft shown consists of a hollow brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has an outer diameter of 1.25 in., wall thickness of 0.125 in, a length of 6 in., a shear modulus of 5,600 ksi. Aluminum segment (2) has a diameter of 0.75 in., a length of 8 in., a shear modulus of 4000 ksi. If a concentrated torque of 6 kip-ft is applied to flange B, determine: (a) the internal torque, kip-ft, in segment (2); (b) the maximum shear stress magnitudes, in ksi, in segment (2); (c) the rotation angle, in degrees, of flange B respect to support C. Indicate if the angle is positive or negative. No FBD/s of section/s showing the internal torques and direction/sign of the angle of twist will invalidate your oslution. Solid shaft: J = (tt/32 )(D4) Hollow: J= (tt/32)(D4-d4) 6 in. (1) B 8 in. (2)

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.

See similar textbooks

Similar questions

A RECTANGULAR ALUMINUM BLOCK IS 40mm LONG IN THE Y DIRECTION, 20mm WIDE IN THE Z DIRECTION AND 25mm THICK IN THE X DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF Px=3 (COMPRESSION), Py=6 (TENSION) AND Pz=9 (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON’S RATIO = 1/4 & E = 70 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETRMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME X DEFORMATION AS THE ORIGINAL.
A RECTANGULAR ALUMINUM BLOCK IS 40mm LONG IN THE Y DIRECTION,20mm WIDE IN THE Z DIRECTION AND 25mm THICK IN THE XDIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF AUNIFORMLY DISTRIBUTED FORCE OF Px=3kN (COMPRESSION), Py=4kN(TENSION) AND Pz=7kN (COMPRESSION) IN THE X, Y AND Z DIRECTIONSRESPECTIVELY. IF THE POISSON’S RATIO = 1/4 & E = 70 GPa,DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSODETRMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THEWOULD PRODUCE THE SAME X DEFORMATION AS THE ORIGINAL.
A beam 10 meters long 400mm x 600mm in cross-section is post-tensioned with a tendon 550 sq. mm. in the area and stretched to a stress of 660 KN. The tendon passed through a hole of 60mm x 70mm. The center of the hole is 75mm from the bottom. The loss of prestressing at the time of anchoring is 6%. Find the stress in the concrete immediately after prestressing.
A prestressed concrete beam of rectangular section 300mm wide and 600mm deep is prestressed by 5 pieces of 8mm high tensile wires at 500mm from the top and 15 pieces of 8mm diameter high tensile wires at 83 mm from the bottom. The initial stress in the wires is 1200 MPa. Estimate the loss of stress in the bottom wires due to elastic shortening of concrete. Assume modular ratio = 6.
Shown is a composite plate joined together by rivets. The components consist of two tension bar plates that is ¾ X 4 inch and riveted together by two splice plates which is 0.8 X 6 inch. Each rivet has a diameter of 25.4 mm. Considering that the allowable stress for the tension bar plates and splice plates is σ=20.0 ksi, the allowable shear stress for the rivets is σ=25.0 ksi and the allowable bearing stress on the rivets and splice plates is σ=25.0 ksi. What will be the maximum permissible load P such that none of the allowable stresses will be exceeded?
For the composite cross-section shown in Figure 2 which is built up out of steel and concrete and issubjected to amoment about Z axis (M), draw the stress profile. Given: Steel E = 200 GPa Concrete E = 25 GPa M = 8616 in kN.m
A 6m-simply supported beam cross-section is shown in the figure below is prestressd with 15 wires of 5mm diameter at the bottom and 3 wires at the top. Assuming prestress in steel is 840 Mpa and the density of concrete is 24 kN/m3. Calculate the stress at bottom extreme fiber at midspan. (Mpa)
The composite bar is subjected to a normal force P = 7500 lb as shown in the figure. The section of the composite bar is composed of two hollow tubes and a solid steel core. Determine the axial stress developed in each bar. Use Ecu = 18 x 106 psi, Est = 30 x 106 psi, and Ebr = 16 x 106 psi.
A cylindrical block of concrete is 300mm long and has a circular cross section of 100mm in diameter. It carries a total compressive load of 67KN and under this load contract 0.2mm. Estimate the compressive stress and strain .
An aluminum pipe must not stretch more than 0.05in when it issubjected to a tensile load. Knowing that E=10.1x10^6psi and that the maximum allowable normal stress is 14ksi, determine (a) the maximum allowable length of the pipe, and (b) the required area of the pipe if the tensile load is 127.5kips.
A reinforced concrete T-beam has the following properties: Flange width, bf = 1350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f'c = 21 MPa Steel strength, fy = 415 MPa If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage (mm, 2 decimal places). What is the condition of failure? (Balanced, Tension controlled, Compression controlled, Transition). Calculate the design moment strength of a typical interior beam (kN-m, whole number).
a concrete column base is circular, with a diameter of 8 in, and carries a direct compressive load of 70000 lb. compute the compressive stress in the concrete