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practice exam for mechanic of material
Problem #3: The rigid be m The rigid beam ACE...
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel.
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. Part A If each bar has a cross-sectional area of \(480 \mathrm{~mm}^{2}\), determine the maximum value of \(P\) if the allowable stress is \(\left(\sigma_{\text {allow }}\right)_{\text {st }}-190 \mathrm{MPa}\) far the steel and \(\left(\sigma_{\text {allow }}\right)_{\text {al }}-150 \mathrm{MPa}\) for the aluminum. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
The rigid beam ACE is subjected to the load P and suspended at points A, C, and E
The rigid beam ACE is subjected to the load P and suspended at points A, C, and E by three suspender bars AB, CD, and EF (see Figure 1). These three suspender bars are made of the same steel and have the same circular cross section with the same diameter of d=30 mm. The ultimate 2m stress of steel is σu=450 MPa and Young modulus is E=200 GPa. (a) Using a factor of safety FS=1.5, determine the All maximum allowable load...
The stool bar has the original dimensions shown in the Siguro. (Figure 1) It is subjected...
The stool bar has the original dimensions shown in the Siguro. (Figure 1) It is subjected to an axial load of 50 kN E = 199 GPa, st = 0.30. Part A Determine the change in its length Express your answer to three significant figures and include appropriate units. THẢ * * * G3 ? BAD Value Units Submit Request Answer Part B Figure Determine the new height at section - Express your answer to six significant figures and include...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment of M - 160 kNm. Steel reinforcement consists of 4 bars of 28-mm diameter. The modulus of elasticity for the concrete is E = 25 GPa while that of the steel is E, = 200 GPa. (a) Find the maximum stresses in steel and concrete. (b) If allowable stresses for concrete and steel are = 9.2 MPa and 0 -135 MPa, respectively, what is...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A a...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of...
0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of the assembly is heated from T, = 25°C to T2 = 200°C using electrical resistance heating. At the lower temperature T, the gap between C and the rigid bar is 0.7 mm. Determine the force in the rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm²....
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end. The bars can carry either tension or compressive forces. The rigid beam carries a UDL of I kN/m across BC and a point load of P at D as shown in the figure above. The length of the two bars is 3000 mm. The elastic modulus of both bars is 200 GPa and the...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces. The member is subjected to a concentrated load at the free end. The plastic core (240mm x 200 m m in cross section) has an elastic modulus of 100 GPa and allowable normal stress of 220 MPa, while the 6 mm thick aluminum face plates have an elastic modulus of 75 GPa and allowable normal stress of 260 MPa. Question I: 118 marks]...
A rigid beam ABCD is supported by a pin at B and two cables located at...
A rigid beam ABCD is supported by a pin at B and two cables located at A and C. The cables have a 30 mm diameter and are made of steel with yield strength of 800 MPa and elastic modulus of 200 GPa. The beam is designed to resist a vertical load P applied at D equal to 200 kN. a) Find the forces developed in each cable b) Find the corresponding vertical displacement at point where the load is...
The stool bar has the original dimensions shown in the Siguro. (Figure 1) It is subjected to an axial load of 50 kN E = 199 GPa, st = 0.30. Part A Determine the change in its length Express your answer to three significant figures and include appropriate units. THẢ * * * G3 ? BAD Value Units Submit Request Answer Part B Figure Determine the new height at section - Express your answer to six significant figures and include...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment of M - 160 kNm. Steel reinforcement consists of 4 bars of 28-mm diameter. The modulus of elasticity for the concrete is E = 25 GPa while that of the steel is E, = 200 GPa. (a) Find the maximum stresses in steel and concrete. (b) If allowable stresses for concrete and steel are = 9.2 MPa and 0 -135 MPa, respectively, what is...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of the assembly is heated from T, = 25°C to T2 = 200°C using electrical resistance heating. At the lower temperature T, the gap between C and the rigid bar is 0.7 mm. Determine the force in the rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm²....
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces. The member is subjected to a concentrated load at the free end. The plastic core (240mm x 200 m m in cross section) has an elastic modulus of 100 GPa and allowable normal stress of 220 MPa, while the 6 mm thick aluminum face plates have an elastic modulus of 75 GPa and allowable normal stress of 260 MPa. Question I: 118 marks]...
A rigid beam ABCD is supported by a pin at B and two cables located at A and C. The cables have a 30 mm diameter and are made of steel with yield strength of 800 MPa and elastic modulus of 200 GPa. The beam is designed to resist a vertical load P applied at D equal to 200 kN. a) Find the forces developed in each cable b) Find the corresponding vertical displacement at point where the load is...
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