Explain this one of the assumptions in using the flexural and shearing stresses. -the beam is initially straight and of uniform cross section
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- A simply supported beam has a concentrated load at the centre which fluctuatesfrom a value of P to 4 P. The span of the beam is 500 mm and its cross-section is circular with adiameter of 60 mm. Taking for the beam material an ultimate stress of 700 MPa, a yield stress of 500 MPa, endurance limit of 330 MPa for reversed bending, and a factor of safety of 1.3, calculate the maximum value of P. Take a size factor of 0.85 and a surface finish factor of 0.9.Derive the equations for shear force and bending momentFor the cantilever beam shown in the figure below, invoke the equilibrium of cut free-body sections of the beam to (a) write equations for the shear force and bending moment distributions as functions of x. Include a free-body diagram of each cut section and force and moment balance calculations. Examine the shear force and bending moment formulas and deduce the sign of the deformation within each inter- val. Include a sketch of a deformed material element that illustrates the shear and bending deformation within the interval. (b) Find the shear force of the largest magnitude in the beam and state where it occurs within the beam. (c) Find the bending moment of the largest magnitude in the beam and state where it occurs within the beam. 200 N/m 0.6 m- X 600 N 0.2 m 0.2 m
- Q. No. 4: For the cantilever beam and loading shown in figure below; (a) draw a neat FBD; (b) using the graphical method demonstrated during class lectures draw near shear force (SF) and bending moment (BM) diagrams; (c) write values of SF and BM at all significant points; (d) neatly mark the points of contraflexure (inflexion). 15 k A 7.5 ft 20 k B 4 7.5 ft 77777Task 1 (a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded at the tip with a transverse force of 1000 lbf and an axial force of 5000 lbf, as shown in the figure. Study the significance of the transverse shear stress in combination with tension and bending by calculating magnitudes of the stresses. Explain and comment on the stresses and strains generated. 1000 Ibf 1 in dia. Cross section at the wall 5000 Ibf (b) Consider a square element in the x-y plane with side length of 3 cm. The thickness of the element is 7 mm. The element has modulus of elasticity of 200 GPa and Poison's ratio of 0.33. If the element is subjected to forces in the x and y directions of 3 KN and 1.5 KN, respectively, find the dimensions of the loaded element. (c) Consider a cubic element with side length of 4 cm. The element has modulus of elasticity of 80 GPa and Poison's ratio of 0.3. If the element is subjected to equal forces in the x, y and z direction of 3 KN.…Please help me solve this problem by following these steps. Please write clearly. Thanks in advance. Calculate: The end reactions, the maximum shear, the maximum moment, the required section modulus, and the required area.
- Example 1: A beam with an inverted tee-shaped cross section is subjected to positive bending moments of Mz = 5 kN m. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at points H and K. State whether the normal stress is tension or compression. (c) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. NIS NTS OSI OSI (7) 120 mmFor a steel circular cantilever beam, 10mm in diameter, 700mm in length with an applied load of 7.848N in the free end, produce a sketch showing the distribution of stresses across the beam section for an applied moment of M=(3/4My+1/3Mp). Where My=24543.5 N.mm and Mp=41666.66667 N.mm and yeild stregth of material is 250Mpa. Cheers7. A simply supported beam has a concentrated load at the center which fluctuates from a value of P to 4P. The span of the beam is 500 mm and its cross-section is circular with a diameter of 60 mm. Taking for the beam material an ultimate stress of 700 MPa, a yield stress of 500 MPa, endurance limit of 330 MPa for reversed bending, and a factor of safety of 1.3, calculate the maximum value of P. Take a size factor of 0.85 and a surface finish factor of 0.9.
- A simply supported steel universal I shaped beam is shown(see attached table and choose one size) The total length is 15 meters with a concentrated force P (located at a distance a = 10 meters) created by a mass of 2000 kg. By assuming a yield strength of 350 MPa and a safety factor of 3.2 state the ergonomically suitable nominal beam size from the catalogue. With reference to answer describe the type of beam failure and at least one possible consequence if the I-beam size you selected is too small. You may add additional images for illustration purposes but ensure that (a) it is described properly, and (b) it is relevant.A simply supported beam carries a concentrated load at the center which fluctuates from a value of W to 4 W. The span of the beam is 497 mm and its cross-section is circular with a diameter of 52 mm. Take ultimate stress of beam material as 687 MPa, Yield stress as 0.55 times ultimate stress and the endurance strength as 0.45 times the value of ultimate stress and take a factor of safety of 1.5. Calculate the maximum value of "W", if the variable stress induced in the beam is 124 N/mm2. Using Goodman relation calculate the value of mean stress in N/mm2.For the beam below, calculate: 1) the support reactions; 2) develop the shear and bending moment equations for each section; 3) draw the bending moment and shear diagrams; 4) calculate the position and the value of the maximum moment and indicate it in the diagram. With Q = 4,2 kN/ma = 3 m