Determine the plastic moment Mp of a steel beam of the cross section shown, assuming the steel to be elastoplastic with a yield strength of 230 MPa. 50 inm 30 inm 10 mm 10 mm HH 10 mm 30 mm The plastic moment of the steel beam is KN-m.
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- 70 mm Mx G 165 mm Mx = 79ヒNm %3D 60 mm 190m Mx affects the cross section digure. Calculate the noral stress values The bending moment of the beam given in n that will occur at the points I,2, 3 of the beam sectio and draw the noral stress distribution.Determine the plastic moment Mp of a steel beam of the cross section shown, assuming the steel to be elastoplastic with a yield strength of 238 MPa. 30 mm- 36 mm The plastic moment of the steel beam is 2.342 > N-m.A beam has a bending moment of 2 kN-m applied to a section with a hollow circular cross-section of external diameter 3.2 cm and internal diameter 2 cm. The modulus of elasticity for the material is 210 x 10° N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.5 cm from the neutral axis is
- Problem 4 The overhanging steel beam ABC carries a concentrated load P at end C. For portion AB of the beam, (a) derive the equation of the elastic curve, (b) determine the maximum deflection, (c) evaluate vmax for the following data: W14 × 68 | = 722 in4 E = 29 x 106 psi P = 50 kips L = 15 ft = 180 in. %3D a = 4 ft = 48 in %3D х- -by- Flange Web Thick- Thick- Axis X-X Axis Y-Y Depth d, in. Area Width ness ness Designation' A, in? br, in. to, in. L in. in S, in F in. in' S, in in. W14 x 370 109 17.9 16.5 2.66 1.66 5440 607 7.07 1990 241 4.27 145 42.7 14.8 15.5 1.09 0.680 1710 232 6.33 677 87.3 3.98 82 24.0 14.3 10.1 0.855 0.510 881 123 6.05 148 29.3 2.48 68 20.0 14.0 10.0 0.720 0.415 722 103 6.01 121 24.2 2.46 53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92 43 12.6 13.7 8.00 0.530 0.305 428 62.6 5.82 45.2 11.3 1.89 6.77 0.515 0.310 385 54.6 5.87 26.7 7.88 1.55 38 11.2 14.1 *You can draw a FBD, Shear V-diagram, and a Bending Moment-M diagram to help in determining the shear…A beam has a bending moment of 3 kN-m applied to a section with a hollow circular cross-section of external diameter 3.4 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is in (N/mm^2) Answer and unit for part 3 iv) The bending stress at the point 0.6 cm from the neutral axis is in(N/mm^2) Answer and unit for part 4A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.9 cm and internal diameter 2 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.8 cm from the neutral axis (i) The moment of inertia = (in mm^4) ii) The radius of curvature is (in mm) (iii) The maximum bending stress is (in N/mm^2) iv) The bending stress at the point 0.8 cm from the neutral axis is (in N/mm^2)
- A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.7 cm and internal diameter 2.2 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.6 cm from the neutral axis is Answer and unit for part 4A beam has a bending moment of 2.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3 cm and internal diameter 2.3 cm. The modulus of elasticity for the material is 210 x 109 N/m. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.7 cm from the neutral axis Solution: (i) The moment of inertia = 26024.12mm^4 ii) The radius of curvature is 2186.02mm (iii) The maximum bending stress is 1.44GPA iv) The bending stress at the point 0.7 cm from the neutral axis isDraw the Shear Force and Bending Moment Diagram for the loaded simply supported beam shown below. Ignore the self-weight of the beam. Also, Find the maximum bending stress in the beam, if its cross section is rectangular, that it is 15 cm wide and 20 cm deep. Also, determine the stress in a fiber located at 6 cm & 10 cm from the top of the beam.
- A beam has a bending moment of 3 kN-m applied to a section with a hollow circular cross-section of external diameter 3.4 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solve the number four (iv) only ; (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.6 cm from the neutral axis is in (N/mm^2)A bending moment due to load applied on the head of femur bone which is offset by a distance (x= 50 mm) off the bone center for a person standing in relaxation.His weight is 70kg.1. Find the maximum bending stress induced due to the weight and compare it to the maximum comp. stress. R= 20mm t= 12mm.2. Draw the expression for the second moment (I) basing on min-wall hollow cylinder.3. Find the principal stress σ1, σ2, τx1y1, and the angle θp for point C and D shown.A beam has a bending moment of 4.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.1 cm and internal diameter 2.1 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: - The bending stress at the point 0.6 cm from the neutral axis is