4.78 - Strength of Materials Problem - Vable - Please help
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4.78 - Strength of Materials Problem - Vable - Please help
4.78 Figure P4.78 shows an...
A bar is uniformly compressed by an axial force P 40 kN applied throurhard end plate...
A bar is uniformly compressed by an axial force P 40 kN applied throurhard end plate (see figures. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 30 mm, the brass tube has outer diameter 45 mm, and the copper tube has outer diameter 60 mm. The corresponding moduli of elasticity are = 210 GPa = 100 GPa, and E= 120 GPa. Calculate the compressive stresses and in the steel,...
the hollow tube down has an outside diameter of 45 mm and an inside diameter of...
the hollow tube down has an outside diameter of 45 mm
and an inside diameter of 40 mm. the tube is made of an aluminum
alloy with a minimum yield strength of 280 MPa. the bending load is
F =1.5 kN, the axial load is P = 10kN and the twisting moment is T
= 70 N-m. Determine the factor of safety based on the stress at
point A using (a) the maximum shear stress theory and (b) the
distortion...
Rod ABC is made of a steel for which the yield strength is oy= 450 MPa...
Rod ABC is made of a steel for which the yield strength is oy= 450 MPa and the modulus of elasticity is E-200 GPa. Knowing that a strain energy of 11.2 J must be acquired by the rod as the axial load P is applied, determine the factor of safety of the rod with respect to permanent deformation when a -0.3 m. 18-mm diameter 12-mm diameter The factor of safety of the rod with respect to permanent deformation is
The concrete [E = 29 GPa] pier shown in the figure is reinforced by four steel...
The concrete [E = 29 GPa] pier shown in the figure is
reinforced by four steel [E = 200 GPa] reinforcing rods,
each having a diameter of 19 mm. Assume P = 680 kN,
L = 2.10 m, and a = 275 mm. If the pier is
subjected to an axial load of 680 kN, determine
(a) the normal stress (positive if tensile and negative if
compressive) in the concrete and in the steel reinforcing
rods.
(b) the deflection of...
A steel pipe column has a length L=4.25 m and has tubular cross section with inside...
A steel pipe column has a length L=4.25 m and has tubular cross section with inside diameter dy=64 mm and outside diameter d2=90 mm. The column is fixed at the base and pinned at the top. The modulus of elasticity of steel is E=210 GPa. The theoretical Euler buckling load of the column is most nearly: dy dz A. 720 KN B. 560 kN C. 303 kN D. 690 KN The steel post has a length L=4 m and carries...
Steel tube Problem 1.6-3 A polyethylene bar having diameter d = 70 mm is placed inside...
Steel tube Problem 1.6-3 A polyethylene bar having diameter d = 70 mm is placed inside a steel tube having inner diameter d2 = 70.2 mm (see figure). The polyethylene bar is then compressed by an axial force P. At what value of the force P will the space between the polyethylene bar and the steel tube be closed? (For polyethylene, assume E = 1.4 GPa and v = 0.4.) di dz Polyethylene bar
The figure shows a rectangular member OB, made from 1⁄4-in-thick aluminum plate, pinned to the gr...
The figure shows a rectangular member OB, made from 1⁄4-in-thick
aluminum plate, pinned to the ground at one end and supported by a
1/3-in-diameter round steel rod with hooks formed on the ends. A
load of 80 lbf is applied as shown. Use Castigliano’s Theorem to
determine the vertical deflection at point C, midway between points
A and B. Aluminum: E = 10 Mpsi, Steel: E = 30 Mpsi.
v
The figure shows a rectangular member OB, made from ¼-in-thick...
Question 35 300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For...
Question 35
300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For the composite block shown in Prob. 2.33, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass is 80 MPa Fig. P2.35 2.35 The 4.5-ft concrete post is reinforced with six steel bars, each with...
A circular tube is to be made of 7075-T6 aluminum with a uniaxial yield strength of...
A circular tube is to be made of 7075-T6 aluminum with a uniaxial yield strength of 469 MPa. Suppose a hollow circular tube with an inside diameter of 46.0 mm is to be made of this material. If the limit loading condition for this part is the simultaneous application of an axial load of 120 kN and a torque of 2.0 kN-m, what minimum wall thickness is required to ensure that no yielding occurs at the limit load? Use the...
Q-1 A solid circular rod with a diameter d = 18 mm is shown in Figure...
Q-1 A solid circular rod with a diameter d = 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v=0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. pts.] b) If we have a 12 mm...
A bar is uniformly compressed by an axial force P 40 kN applied throurhard end plate (see figures. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 30 mm, the brass tube has outer diameter 45 mm, and the copper tube has outer diameter 60 mm. The corresponding moduli of elasticity are = 210 GPa = 100 GPa, and E= 120 GPa. Calculate the compressive stresses and in the steel,...
the hollow tube down has an outside diameter of 45 mm
and an inside diameter of 40 mm. the tube is made of an aluminum
alloy with a minimum yield strength of 280 MPa. the bending load is
F =1.5 kN, the axial load is P = 10kN and the twisting moment is T
= 70 N-m. Determine the factor of safety based on the stress at
point A using (a) the maximum shear stress theory and (b) the
distortion...
Rod ABC is made of a steel for which the yield strength is oy= 450 MPa and the modulus of elasticity is E-200 GPa. Knowing that a strain energy of 11.2 J must be acquired by the rod as the axial load P is applied, determine the factor of safety of the rod with respect to permanent deformation when a -0.3 m. 18-mm diameter 12-mm diameter The factor of safety of the rod with respect to permanent deformation is
The concrete [E = 29 GPa] pier shown in the figure is
reinforced by four steel [E = 200 GPa] reinforcing rods,
each having a diameter of 19 mm. Assume P = 680 kN,
L = 2.10 m, and a = 275 mm. If the pier is
subjected to an axial load of 680 kN, determine
(a) the normal stress (positive if tensile and negative if
compressive) in the concrete and in the steel reinforcing
rods.
(b) the deflection of...
A steel pipe column has a length L=4.25 m and has tubular cross section with inside diameter dy=64 mm and outside diameter d2=90 mm. The column is fixed at the base and pinned at the top. The modulus of elasticity of steel is E=210 GPa. The theoretical Euler buckling load of the column is most nearly: dy dz A. 720 KN B. 560 kN C. 303 kN D. 690 KN The steel post has a length L=4 m and carries...
Steel tube Problem 1.6-3 A polyethylene bar having diameter d = 70 mm is placed inside a steel tube having inner diameter d2 = 70.2 mm (see figure). The polyethylene bar is then compressed by an axial force P. At what value of the force P will the space between the polyethylene bar and the steel tube be closed? (For polyethylene, assume E = 1.4 GPa and v = 0.4.) di dz Polyethylene bar
The figure shows a rectangular member OB, made from 1⁄4-in-thick
aluminum plate, pinned to the ground at one end and supported by a
1/3-in-diameter round steel rod with hooks formed on the ends. A
load of 80 lbf is applied as shown. Use Castigliano’s Theorem to
determine the vertical deflection at point C, midway between points
A and B. Aluminum: E = 10 Mpsi, Steel: E = 30 Mpsi.
v
The figure shows a rectangular member OB, made from ¼-in-thick...
Question 35
300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For the composite block shown in Prob. 2.33, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass is 80 MPa Fig. P2.35 2.35 The 4.5-ft concrete post is reinforced with six steel bars, each with...
Q-1 A solid circular rod with a diameter d = 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v=0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. pts.] b) If we have a 12 mm...
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