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2) Find the natural frequencies of the triangular plate shown in Figure 2. The plate is...
A wide sheet (1 mm thick) of steel is bent elastically to a constant radius of curvature, p 500 mm measured form the axis of bending to the center of the sheet as shown in figure 1. Find the stress i...
A wide sheet (1 mm thick) of steel is bent elastically to a constant radius of curvature, p 500 mm measured form the axis of bending to the center of the sheet as shown in figure 1. Find the stress in the surface. Assume that there is no net force in the plane of the sheet. Knowing that E 208 GPa, and v 0.3 for steel. 04) a) Figure1
A wide sheet (1 mm thick) of steel is bent elastically...
.'ו Optus 11:56 AM Expert Q&A Finite element method QUESTION 4(20 Marks) - concept and calculatio...
finite element method
.'ו Optus 11:56 AM Expert Q&A Finite element method QUESTION 4(20 Marks) - concept and calculation question Consider axial vibration of the circular steel bar shown in Figure 4. The steel bar properties are: p- 7800 kg/m and E-200 GPa. (a)lf the first two natural frequencies are required, sketch the finite element model with clearly labelled element numbers and node numbers, State the element types and the degree of freedoms solved (5 Marks (b)Calculate the stiffiness and...
1. A symmetrically loaded triangular beam is shown in Figure 4.7(2) with 1 =32MPa. Compute M.....
1. A symmetrically loaded triangular beam is shown in Figure 4.7(2) with 1 =32MPa. Compute M.. d600 1000 1000 8 N35 7 1000 Figure 4.7(2) Cross-section details of a triangular beam Note: all dimensions are in mm. 2. Given a beam section bxD-450mmx950mm, M*=1500kNm, =32MPa, fo=500MPa and the maximum aggregate size=20mm. Design and detail the section. Use N28 bars for the main reinforcement and R10 bars for stirrups. Exposure classifi-cation A2 applies.
This bracket is to be built from a 20 mm thick steel plate that is 100mm...
This bracket is to be built from a 20 mm thick steel plate that
is 100mm high and 200mm wide. Calculate neglecting the hold the
place of maximum deflection and how much when a load of 1Mpa is
applied to the right side of the plate.
Then calculate the amount and point of maximum stress including
the hole. (20mm diameter for the hole sorry with a center position
of 100mm from the left side and 50mm from the bottom)
deflection...
The composite cantilever shown below is made of three plates: two external ones are made of...
The composite cantilever shown
below is made of three plates: two external ones are made of steel
and the middle one is made of copper. The length of the cantilever
is 2m, the width is 50mm, and the thickness of each plate is 20mm.
Determine the axial force induced in the copper plate when the
temperature of the cantilever rises by 77°C. Young's modulus for
steel can be taken as 200GPa and the coefficient of thermal
expansion as 11x10-6mm/(mm oC)....
Problem: Find the natural frequencies of the system shown in Figure. Take m 2 kg ma 2.5 kg ms 3.0...
Problem: Find the natural frequencies of the system shown in Figure. Take m 2 kg ma 2.5 kg ms 3.0 kg me = 1.5 kg 914 Given: Four degree of freedom spring-mass system with given masses an stiffnesses. Find: Natural frequencies and mode shapes. Approach: Find the eigenvalues and eigenvectors of the dynamical matrix. 1. Determine [m] and [k] matrices of the vibrating system with all details 2. Determine [DI matrix. 3. Determine Natural frequencies and mode shapes analytically 3....
Problem 4 (10 pts) A cold-rolled yellow-brass plate, 250 mm long, 150 mm wide and 6...
Problem 4 (10 pts) A cold-rolled yellow-brass plate, 250 mm long, 150 mm wide and 6 mm thick is subjected to a 100 kN centric axial load along its length, as shown. If E-1 1 1 GPa and v 0.3, determine the new dimensions of the plate I5o l ic cuhiected i to an axial tensile force of 5kN. If the maximum allowable normal
2. The plate shown in the figure is made of steel with E-210 GPa andv 0.33....
2. The plate shown in the figure is made of steel with E-210 GPa andv 0.33. Assume plane stress (t,,-t-o, =0). a) If σ、x-100 MPa、determine Ihe magnitude ofo, such that the width b-400 mm does not change. b) Determine the change in length of the diagonals of the rectangle. c) 6 points 12 points Assuming the thickness to be 10 mm, calculate the change in the thickness of the member. 7 points Sy b 400 mm 600mm
2. A steel beam has a rectangular cross section (b mm and h mm) with a...
2. A steel beam has a rectangular cross section (b mm and h mm) with a length, L m. For steel, E in GPA andp in kg/m The beam supported in: Fixed-Free a) List the boundary conditions b Compute the three lowest temporal frequencies E (GPa) Density, p(kg/m2) Lenth,L (m) b(m) h(m) 1.50 0.155 0.060 200 7750
2. A steel beam has a rectangular cross section (b mm and h mm) with a length, L m. For steel, E in...
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...
A wide sheet (1 mm thick) of steel is bent elastically to a constant radius of curvature, p 500 mm measured form the axis of bending to the center of the sheet as shown in figure 1. Find the stress in the surface. Assume that there is no net force in the plane of the sheet. Knowing that E 208 GPa, and v 0.3 for steel. 04) a) Figure1
A wide sheet (1 mm thick) of steel is bent elastically...
finite element method
.'ו Optus 11:56 AM Expert Q&A Finite element method QUESTION 4(20 Marks) - concept and calculation question Consider axial vibration of the circular steel bar shown in Figure 4. The steel bar properties are: p- 7800 kg/m and E-200 GPa. (a)lf the first two natural frequencies are required, sketch the finite element model with clearly labelled element numbers and node numbers, State the element types and the degree of freedoms solved (5 Marks (b)Calculate the stiffiness and...
1. A symmetrically loaded triangular beam is shown in Figure 4.7(2) with 1 =32MPa. Compute M.. d600 1000 1000 8 N35 7 1000 Figure 4.7(2) Cross-section details of a triangular beam Note: all dimensions are in mm. 2. Given a beam section bxD-450mmx950mm, M*=1500kNm, =32MPa, fo=500MPa and the maximum aggregate size=20mm. Design and detail the section. Use N28 bars for the main reinforcement and R10 bars for stirrups. Exposure classifi-cation A2 applies.
This bracket is to be built from a 20 mm thick steel plate that
is 100mm high and 200mm wide. Calculate neglecting the hold the
place of maximum deflection and how much when a load of 1Mpa is
applied to the right side of the plate.
Then calculate the amount and point of maximum stress including
the hole. (20mm diameter for the hole sorry with a center position
of 100mm from the left side and 50mm from the bottom)
deflection...
The composite cantilever shown
below is made of three plates: two external ones are made of steel
and the middle one is made of copper. The length of the cantilever
is 2m, the width is 50mm, and the thickness of each plate is 20mm.
Determine the axial force induced in the copper plate when the
temperature of the cantilever rises by 77°C. Young's modulus for
steel can be taken as 200GPa and the coefficient of thermal
expansion as 11x10-6mm/(mm oC)....
Problem: Find the natural frequencies of the system shown in Figure. Take m 2 kg ma 2.5 kg ms 3.0 kg me = 1.5 kg 914 Given: Four degree of freedom spring-mass system with given masses an stiffnesses. Find: Natural frequencies and mode shapes. Approach: Find the eigenvalues and eigenvectors of the dynamical matrix. 1. Determine [m] and [k] matrices of the vibrating system with all details 2. Determine [DI matrix. 3. Determine Natural frequencies and mode shapes analytically 3....
Problem 4 (10 pts) A cold-rolled yellow-brass plate, 250 mm long, 150 mm wide and 6 mm thick is subjected to a 100 kN centric axial load along its length, as shown. If E-1 1 1 GPa and v 0.3, determine the new dimensions of the plate I5o l ic cuhiected i to an axial tensile force of 5kN. If the maximum allowable normal
2. The plate shown in the figure is made of steel with E-210 GPa andv 0.33. Assume plane stress (t,,-t-o, =0). a) If σ、x-100 MPa、determine Ihe magnitude ofo, such that the width b-400 mm does not change. b) Determine the change in length of the diagonals of the rectangle. c) 6 points 12 points Assuming the thickness to be 10 mm, calculate the change in the thickness of the member. 7 points Sy b 400 mm 600mm
2. A steel beam has a rectangular cross section (b mm and h mm) with a length, L m. For steel, E in GPA andp in kg/m The beam supported in: Fixed-Free a) List the boundary conditions b Compute the three lowest temporal frequencies E (GPa) Density, p(kg/m2) Lenth,L (m) b(m) h(m) 1.50 0.155 0.060 200 7750
2. A steel beam has a rectangular cross section (b mm and h mm) with a length, L m. For steel, E in...
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...
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