Homework Answers
Stress equation for circular diaphragm is
Stress equation for square diapgragm is
If diamension and pressure are same for both diaphragm then circular diaphragm coefficient is high so in both circular diaphragm is experience larger stress
Same for displacement Circular diaphragm experience larger displacement
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2. (10%) Consider a circular diaphragm with a diameter 2a and a square diaphragm with an...
Determine the miNımum thickness of the circular diaphragm of a micro pressure sen- sor made of...
Determine the miNımum thickness of the circular diaphragm of a micro pressure sen- sor made of silicon as illustrated in Figure 4 3 The diaphragm has a diameter of 600 um and its edge iS ngidly fixed to the silicon die The diaphragm is designed to with- stand a pressure of 20 MPa without exceeding the plastic yieldıng strength of 7000 MPa The silicon diaphragm has a Young's modulus E190,000 MPa and a Pois- son's ratio 0 25. Figure 4.3I...
(b) Given best material for the diaphragm is the largest value of M: 3/2 O'f E...
(b) Given best material for the diaphragm is the largest value of M: 3/2 O'f E Using the Ashby Method of materials selection, recommend a suitable material for diaphragm, using the following information and the Strenght vs Young Modulus chart as in Figure Q4(b). Which materials best meet the requirements for diaphragms (19 marks) Pressure P Pressure p2 Deflection, 2 a FIGURE 04 (a)
(b) Given best material for the diaphragm is the largest value of M: 3/2 O'f E...
Question 1 1 pts 1. Consider a circular rod with a diameter of 2 inches and...
Question 1 1 pts 1. Consider a circular rod with a diameter of 2 inches and a length of 30 inches. The rod is pinned at both ends (load case a in our text book). Find the slenderness ratio. (Le/p ). Enter your answer as xx.x. Question 2 2 pts 2. Consider a hollow circular rod, with diameter of 2 inches and a wall thickness of 0.1 inch, and a length of 30 inches. The rod is pinned at both...
please answer both the questions Question 2 A titanium tube 200mm diameter and 5mm wall thickness...
please answer both the questions
Question 2 A titanium tube 200mm diameter and 5mm wall thickness is subjected to an internal pressure of 13.5MPa. The tube contains a longitudinal crack along its full length. Assuming that the tube can be approximated by a single edge notched plate subjected to a tensile stress equal to the hoop stress in the tube determine the crack length to cause failure. You may assume that the material fracture toughness is 55 MPavm. Please provide...
A vertical load P = 150 kN is applied to a circular solid shaft which in turn is supported by a circular end cap as sho...
A vertical load P = 150 kN is applied to a circular solid shaft which in turn is supported by a circular end cap as shown below. Both members are made of steel with allowable normal stress = 160 MPa, allowable shear stress 100 MPa, and allowable bearing stress 200 MPa. Determine the minimum required diameter of the solid shaft, and the minimum required outer diameter and thickness of the circular end plate. P 150 kN ds d 30 mm...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
Problem 2 (60 POINTS) (20 Points for each question) Fig 1a shows a hollow tube with...
Problem 2 (60 POINTS) (20 Points for each question) Fig 1a shows a hollow tube with internal diameter of 230 mm and thickness of 30 mm, as shown in Fig 1b. The length of the tube is 1m. Fig 1c shows a solid circular bar which also has the same length and the same weight as the hollow circular bar. Both the bars are made of same material (have same density or specific weight) Fig 1a Fig 1b Fig 1c...
Two circular rods are loaded in tension along their longitudinal axis. Both rods have a diameter...
Two circular rods are loaded in tension along their longitudinal axis. Both rods have a diameter of 20 mm and a length of 150 mm. One bar is made of aluminum and the other is hot pressed silicon nitride (Si3N4). Both have an applied tensile load of 80 kN. Assume that both materials behave elastically under this loading condition (the aluminum does not plastically deform and the silicon nitride does not fracture) and given the following properties for these materials:EAl= 69 GPa...
FIGURE P.8.10 P.N.10. A compression member(Fig. P.8.10) is made of circular nection tubo, diameter d, thickness...
FIGURE P.8.10 P.N.10. A compression member(Fig. P.8.10) is made of circular nection tubo, diameter d, thickness 7. The member is not perfectly straight when usiloxed, having a slightly bowed shape which may be represented by the expression v=sin Show that when the load P is applied, the maximum stress in the member can be expressed as where =P/P. P. = ETA Assume is small compared with d, so that the following relationships are applicable: Cross-sectional area of the = tek...
A circular rod with a diameter d- 1 in. is cantilevered at one end, and subjected...
A circular rod with a diameter d- 1 in. is cantilevered at one end, and subjected to fully reversed force F= ±250 lbf at its tip. The length of rod is L-24 in The selected steel material has mechanical properties as shown in the following S-N fatigue diagram. For circular cross section,I d'64 Assume that the fully corrected endurance limit S, 50 kpsi Determine the maximum completely reversed stress (ore) under this fatigue loading (15 points) Determine the maximum completely...
Determine the miNımum thickness of the circular diaphragm of a micro pressure sen- sor made of silicon as illustrated in Figure 4 3 The diaphragm has a diameter of 600 um and its edge iS ngidly fixed to the silicon die The diaphragm is designed to with- stand a pressure of 20 MPa without exceeding the plastic yieldıng strength of 7000 MPa The silicon diaphragm has a Young's modulus E190,000 MPa and a Pois- son's ratio 0 25. Figure 4.3I...
(b) Given best material for the diaphragm is the largest value of M: 3/2 O'f E Using the Ashby Method of materials selection, recommend a suitable material for diaphragm, using the following information and the Strenght vs Young Modulus chart as in Figure Q4(b). Which materials best meet the requirements for diaphragms (19 marks) Pressure P Pressure p2 Deflection, 2 a FIGURE 04 (a)
(b) Given best material for the diaphragm is the largest value of M: 3/2 O'f E...
Question 1 1 pts 1. Consider a circular rod with a diameter of 2 inches and a length of 30 inches. The rod is pinned at both ends (load case a in our text book). Find the slenderness ratio. (Le/p ). Enter your answer as xx.x. Question 2 2 pts 2. Consider a hollow circular rod, with diameter of 2 inches and a wall thickness of 0.1 inch, and a length of 30 inches. The rod is pinned at both...
please answer both the questions
Question 2 A titanium tube 200mm diameter and 5mm wall thickness is subjected to an internal pressure of 13.5MPa. The tube contains a longitudinal crack along its full length. Assuming that the tube can be approximated by a single edge notched plate subjected to a tensile stress equal to the hoop stress in the tube determine the crack length to cause failure. You may assume that the material fracture toughness is 55 MPavm. Please provide...
A vertical load P = 150 kN is applied to a circular solid shaft which in turn is supported by a circular end cap as shown below. Both members are made of steel with allowable normal stress = 160 MPa, allowable shear stress 100 MPa, and allowable bearing stress 200 MPa. Determine the minimum required diameter of the solid shaft, and the minimum required outer diameter and thickness of the circular end plate. P 150 kN ds d 30 mm...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
FIGURE P.8.10 P.N.10. A compression member(Fig. P.8.10) is made of circular nection tubo, diameter d, thickness 7. The member is not perfectly straight when usiloxed, having a slightly bowed shape which may be represented by the expression v=sin Show that when the load P is applied, the maximum stress in the member can be expressed as where =P/P. P. = ETA Assume is small compared with d, so that the following relationships are applicable: Cross-sectional area of the = tek...
A circular rod with a diameter d- 1 in. is cantilevered at one end, and subjected to fully reversed force F= ±250 lbf at its tip. The length of rod is L-24 in The selected steel material has mechanical properties as shown in the following S-N fatigue diagram. For circular cross section,I d'64 Assume that the fully corrected endurance limit S, 50 kpsi Determine the maximum completely reversed stress (ore) under this fatigue loading (15 points) Determine the maximum completely...
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