CIVI_453 Tutorial 12 -Ductile shear wall OK

Given is a thin-walled tube with the following data: Wall thickness- 2mm ABC is a sector with a radius of 50 mm AOD & COD is a triangle Torque is 1000 N.m Length of the thin walled tube is 0.5 m Use G=24 GPa for aluminium A 90° B T 0 R! C 3R D Determine the following: a. Enclosed Area b. Perimeter of the thin walled tube c. Shear flow d. Shear stress e. Angle of twist

A 90 degree “reducing elbow” is a common pipe fitting used in industry and agriculturalapplications. Consider an illustration of one below to answer the following:(b) What are the retaining forces, Fx and Fy, needed to keep the pipe in place if P2 is 1.25 bar fx should be 5495 N and fy should be 773 N

The axial and circumferential stress experienced by the cylinder wall at mid-depth (1m as shown)

Calculate the maximum shear stress Tmax at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: ○ 1.2681.818 O 2. 25745.455 O 3. 17163.636 O 4. 10727.273 ○ 5.5363.636

Attempt to solve the problem of torsion of a rectangular cross section using the boundary equation method, for which you should postulate a Prandtl stress function of the form = Kf(x1, x2), where f(x₁, x2) is the product of four functions, each of which vanishes on one of the sides £₁ = ±a and x2 = ±b (assuming the width of the bar is 2a in î₁ and 26 in x2. Show that you cannot satisfy the compatibility relationship with this stress function. (Note: This illustrates that the boundary equation method is not a general approach for all cross sections and motivates the more general approach in which a solution is sought to the Poisson equation, as we did most generally using Fourier expansions.)

Values are m= 360mm n= 375mm q= 24mm r= 18mm P= 0.6kN

1) The triangular plane stress problem connected to a spring, is subjected to a uniformly distributed load and two point forces. Calculate the nodal displacements and the spring force using two triangular finite elements. k = 3x105 kN/m (spring constant) h = 0.20 m (thickness) E = 3x107 kN/m² (modulus of elasticity) v = 0.20 (Poisson's ratio) 1.5 m 40 kN 30 kN/m 50 kN 2 m 2 m

In mechanical resistance

can you resolve the problem but with 10mm diameter, l=100mm, P=7850N, change in diameter = 3.25x10^-3mm

Compute the minimum vine diameter to provide a desired factor of safety of 1.7 against yield-type failure.  Assume a yield stress of 300 MPa, and that the mass of the monkey is 65 kg. Hint Weight (N) = Mass (Kg) X g (9.81 m/s2)

Solve it correctly please. I

The thin-walled open cross section shown is transmitting torque 7. The angle of twist ₁ per unit length of each leg can be determined separately using the equation 01 = 3Ti GLIC 3 where G is the shear modulus, ₁ is the angle of twist per unit length, T is torque, and L is the length of the median line. In this case, i = 1, 2, 3, and T; represents the torque in leg i. Assuming that the angle of twist per unit length for each leg is the same, show that T= Lic³ and Tmaz = G01 Cmax Consider a steel section with Tallow = 12.40 kpsi. C1 2 mm L1 20 mm C2 3 mm L2 30 mm C3 2 mm L3 25 mm Determine the torque transmitted by each leg and the torque transmitted by the entire section. The torque transmitted by the first leg is | N-m. The torque transmitted by the second leg is N-m. The torque transmitted by the third leg is N-m. The torque transmitted by the entire section is N-m.

The shaft of a mechanical device is designed to transmit the torque T = 100 N. m. The shaft could be fabricated from one of the materials in Table 1. Choose one of the materials from Table 1 and considering its maximum allowable shear stress, Table 1 Material A Material B allowable shear stress: 80 MPa allowable shear stress: 120 MPa allowable shear stress: 150 MPa Material C (a) Determine the minimum diameter required for a solid shaft to carry the load. (b) Considering the material you have chosen in (a), determine the maximum inner diameter permitted for a hollow shaft if the outer diameter is 50 mm to carry the load. (c) Determine the weight change (in percent) if you use shaft (b) instead of (a) considering the same length for both shafts. Discuss whether you will use solid or hollow shafts for the application, and why?

Q7: What is the compression in the tibia of lengthh = 30 cm of a person of mass m = standing erect? The bone is regarded as a hollow circular tube with internal radius r, = 1.2 cm and external radius r, = 1.75 cm, and Young's modulus along the axis is Y = 2 × 1010N/m². If the maximum tensile strength of tibia is 1.4 × 10®N/m², What is the compression in the tibia at the point of fracture? 80 kg %3D Fibula 1. Tibia

Given is a thin-walled tube with the following data: Wall thickness- 2mmABC is a sector with a radius of 50 mmAOD & COD is a triangleTorque is 1000 N.mLength of the thin walled tube is 0.5 mUse G=24 GPa for aluminium   Determine the following:a. Enclosed Areab. Perimeter of the thin walled tubec. Shear flowd. Shear stresse. Angle of twist