For the given state of stress, determine (a) the principal planes, (b) the principal stresses, (c) the orientation of the planes of maximum shear stress, (d) maximum shear stress, (e) the corresponding normal stress. 12 ksi 8 ksi 18 ksi
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- PLEASE ANSWER ASAP TY! a) Determine the cross-sectional area of the structural tube (in mm2) b) Determine moment of inertia of the cross-section about the neutral axis (in mm4) c) What is the maximum normal stress at point K (in MPa)? Include negative sign if compressive. d) What is the axial stress at section H-K (in MPa)? Include negative sign if compressive. e) What is the flexural stress at section H-K (in MPa)? f) What is the maximum normal stress at point H (in MPa)? Include negative sign if compressive.A solid circular shaft, 15 mm in diameter, is subjected to torsional shear stress, which varies from 0 to 35 N/mm⅔ and at the same time is subjected to an axial stress that varies from -15 to +30 N/mm². The frequency of variation of these stresses is equal to the shaft speed. The shaft is made of steel FeE 400 (Sut=540N/mm²) and the corrected endurance strength of the shaft is 200 N/mm². Determine the factor of safety.Axial loads are applied with rigid bearing plates to the solid cylindrical rods as shown. The diameter of Aluminum Rod 1 is 2 inches, the diameter of Brass Rod 2 is 1.50 inches and the diameter of Steel Rod 3 is 3 inches. a. Determine the axial normal stress in Rod 1 in ksi. b. Determine the axial normal stress in Rod 2 in ksi. c. Determine the axial normal stress in Rod 3 in ksi.
- Q4(a): For a thick walled cylinder subjected to internal pressure only, mention the surface where the shear stress happens to be maximum. Mention the other two stresses which are maximum at the surface of maximum shear stress. What is the importance of the maximum shear stress for thick walled cylinders?A thin cylinder of length 2.5m and diameter 1.0 m is made from 3mm steel plates. Ifa gas is filled in the cylinder at a pressure of 750 kN/m2(gauge). Take E = 210 GPaand ν = 0.3 for steel, determine(i) the hoop stress and longitudinal stress in the wall of the cylinder(ii) the maximum shear stress in the plane of above two stresses(iii) change in diameter of cylinder due to the internal pressure of gas(iv) change in of the cylinder(v) change in volume of the cylinderA 4.8ft-long steel wire of 1/4in-diameter is subjected to a 750lb-Tensile load. Knowing that E=29x10^6psi, determine (a) the elongation of the wire, and (b) the corresponding normal stress.
- Considering Figure FE 2, provide the stress increment at the indicated point of interest due to the concentrated loads, due to the linear load, due to the rectangular load and the final stress increment due to the combination of these loads. Designate your answers using the following variables. “ΔσzCL” - stress increment due to the concentrated loads (bonus) “ΔσzLL” - stress increment due to the linear load (bonus) “ΔσzRL” - stress increment due to the rectangular load (required) “ΔσzT ” - total stress increment at the point of interest (bonus)A 75 mm x 75 mm wooden block in cross section is subjected to a load P of 300 kN. The plane A makes an angle of 14 degrees with respect to the horizontal axis (x-axis). a. Determine the normal stress at section A-A. b. Determine the shear stress at section A-A.An eccentric load is applied to a column as shown. Verify(show with clear calculations) the normal stress distribution given forthe bottom of the column.
- A steel rod of 15- mm diameter is held snugly (but without any initial stresses) between rigid walls by the arrangement shown in the figure part (a). (For the steel rod, use α = 12 x 10-6/˚C and E = 200 GPa.) Calculate the temperature drop ΔT (degrees Celsius) at which the average shear stress in the 12 – mm diameter bolt becomes 45 MPa. Also, what is the normal stress in the rod? What are the average bearing stresses in the bolt and clevis at A and between the washer (dW = 20mm) and wall (t = 18 mm) at B? If the connection to the wall at B is changed to an end plate with two bolts (see figure part b), what is the required diameter db of each bolt if the temperature drop is ΔT = 38˚C and the allowable bolt stress is 90 MPa?An aluminum alloy cylinder (2) is clamped between rigid heads by two steel bolts (1), as shown. The steel [E = 200 GPa; α1 = 11.7 × 10−6/°C] bolts have a diameter of 19 mm. The aluminum alloy [E = 70 GPa; α2 = 23.6 × 10−6/°C] cylinder has an outside diameter of 160 mm and a wall thickness of 9 mm. Assume that a = 700 mm, b = 810 mm, and c = 325 mm. If the temperature of this assembly changes by ΔT = 60°C, determine(a) the normal stress in the aluminum cylinder.(b) the normal strain in the aluminum cylinder.(c) the normal strain in the steel bolts.1. Calculate the moment of inertia of the section in mm . 2. Calculate the location of the neutral axis from the bottom of the beam in mm. 3. Calculate the maximum moment in the beam in kN.m. 4. Calculate the flexural stress at a section 75mm from A and 40mm from the bottom of the beam in MPa. 5. Calculate the maximum compressive flexural stress of the beam in MPa. 6. Calculate the maximum tensile flexural stress of the beam in MPa. NOTE: Kindly answer all numbers with complete solution please. Needed ASAP.