3.26 At point A on the upstream face of a dam (Figure P3.26),
the water pressure is −70 kPa,
and the measured tensile stress parallel to this surface is 30 kPa.
Calculate
a. The stress components σx, σy, and τxy
b. The maximum shear stress
Sketch the results on a properly oriented element
Homework Answers
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3.26 At point A on the upstream face of a dam (Figure P3.26),
the water pressure...
A solid aluminum post is subjected to a vertical force of P = 70 kN and a concentrated torque of T = 3.25 kN-m
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Learning Goal: To be able to identify the initial stresses and the angle of rotation, including t...
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Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element. Figure 3 shows an element experiencing several stress components. Determine the following: 1. The stress components oxx, y, and Tyyacting on the element oriented at a counter clockwise angle 0 = 30° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles Show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using...
The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values εa= -185 με, εb= -150 με, εc= 55 με, E = 10,800 ksi, and v = 0.33...
The strain rosette shown was
used to obtain normal strain data at a point on the free surface of
a machine component. Given the values εa= -185 με, εb= -150 με, εc=
55 με, E = 10,800 ksi, and v = 0.33,
determine
(a) the stress components σx, σy, and τxy at the point.
(b) the principal stresses and the maximum in-plane shear stress at
the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressur...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure pgh , where p is the density of the water behind the danm h is its...
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The state of plane stress at a point under the surface of the ANKA airplane wing is represented on the element oriented as shown in the Figure. Deternine principal Stresses Calculate the maximum in-plane shear stress and associated average normal stress by using the analytical method and Mohr's circle. For each case, determine the corresponding orientation of the element with respect to the element shown and sketch the state of stress on the element. Determine the absolute maximum shear stress...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components Oxvxr. Oysy, and T xuy, acting on the element oriented at a counter clockwise angle = 40° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles For each of the stress state calculated in parts 1 and 2, show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using Mohr's circle ONLY....
Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft Problem 2...
Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft
Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft
The cylinder consists of spirally wrapped steel plates that are welded at the seams in the...
The cylinder consists of spirally wrapped steel plates that are
welded at the seams in the orientation shown. Assume β = 30 ∘ . The
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0.3125 in. The end of the cylinder is capped by a rigid end plate.
The cylinder is subjected to a compressive load of P = 115
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Question 3 (1) Figure Q3(a) shows the stresses at a point in a structure. Using the...
Question 3 (1) Figure Q3(a) shows the stresses at a point in a structure. Using the Mohr's circle, determine the maximum in-plane shear stress of the point and shown it on a sketch of a properly oriented stress element. 12 marks) 50 MPa 30 MPa 30 MPa Figure Q3(a) (2) The 50-mm-diameter solid shaft shown in Figure Q3(b) is fixed at B and subject to the couple forces at the top through a rigid wrench. Determine the maximum shear stres...
Learning Goal: To be able to identify the initial stresses and
the angle of rotation, including the correct signs, and use these
in the stress-transformation equations to find the stress on a
plane or element at a different angle than the original. The method
of calculating the state of stress on an inclined plane is tedious,
prone to error, and incomplete—if we calculate σx′ and τx′y′, we
have to do a separate calculation to determine σy′. Consider the
stress element...
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element. Figure 3 shows an element experiencing several stress components. Determine the following: 1. The stress components oxx, y, and Tyyacting on the element oriented at a counter clockwise angle 0 = 30° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles Show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using...
The strain rosette shown was
used to obtain normal strain data at a point on the free surface of
a machine component. Given the values εa= -185 με, εb= -150 με, εc=
55 με, E = 10,800 ksi, and v = 0.33,
determine
(a) the stress components σx, σy, and τxy at the point.
(b) the principal stresses and the maximum in-plane shear stress at
the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure pgh , where p is the density of the water behind the danm h is its...
The state of plane stress at a point under the surface of the ANKA airplane wing is represented on the element oriented as shown in the Figure. Deternine principal Stresses Calculate the maximum in-plane shear stress and associated average normal stress by using the analytical method and Mohr's circle. For each case, determine the corresponding orientation of the element with respect to the element shown and sketch the state of stress on the element. Determine the absolute maximum shear stress...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components Oxvxr. Oysy, and T xuy, acting on the element oriented at a counter clockwise angle = 40° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles For each of the stress state calculated in parts 1 and 2, show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using Mohr's circle ONLY....
Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft
Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft
The cylinder consists of spirally wrapped steel plates that are
welded at the seams in the orientation shown. Assume β = 30 ∘ . The
cylinder has an inside diameter of 31 in. and a wall thickness of
0.3125 in. The end of the cylinder is capped by a rigid end plate.
The cylinder is subjected to a compressive load of P = 115
kips and a torque of T = 255 kip-ft, which are applied to
the rigid end...
Question 3 (1) Figure Q3(a) shows the stresses at a point in a structure. Using the Mohr's circle, determine the maximum in-plane shear stress of the point and shown it on a sketch of a properly oriented stress element. 12 marks) 50 MPa 30 MPa 30 MPa Figure Q3(a) (2) The 50-mm-diameter solid shaft shown in Figure Q3(b) is fixed at B and subject to the couple forces at the top through a rigid wrench. Determine the maximum shear stres...
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