2. An extruded beam has the cross section shown. Determine (a) the location of the shear center O, (b) the distribution of the shearing stresses caused by the vertical shearing force V shown applied at O. V = 2.75 kips 4.0 in. D B E t = in. A 6.0 in. F
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Please provide a detailed solution especiallyl for the moment of inertia and how you got the values etc. The book of Beer's manual solution does not provide a detailed solutino and it is hard to understand.
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- F y a What is the biggest Bending Stress? Beam is loaded the biggest bending moment is MB. Мв 3D 10 kNm a = 65 mm b = 90 mm %3DThe T section is shown in Figure below is the cross-section of a beam. The beam is subjected to a uniform distributed load = 4 kN/m. The N.A is located at 34.7 mm from the bottom and that IxA =10.64x106 mm. Determine (a) the maximum shearing suess (b) the shearing stress at 15 mm from the bottom face. Q2 %3D 20mm 4 kN/m 120mm A 34.7 mm 20mm lm 3m 1m 220mm TTThe T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?
- has a cross section shown. Determine the maximum uniformly distributed load which can be applied over the entire length of the beam if the shearing stress is limited to 1.6 MPa. Answer must be in kN/m. Given: b = 130 mm and d = 170 mm. %3D %3D 250 mm 180 mm2. The cross section of a beam is shown. The shear force V found from a shear diagram acting on the section is 51 kips. Determine the transverse shear stress at: a) The centroidal axis 3.5" HOLE 12"The internal shear force V at a certain section of a steel beam is 80 kN, and the moment of inertia is 64,867,500 mm4. Determine the horizontal shear stress at point H, which is located L = 17 mm below the centroid. 58.9 MPa 42.7 MPa 39.6 MPa 35.2 MPa 31.2 MPa
- For the simply supported beam with the given cross-section, the shear force diagram has been plotted. Determine the maximum shear stress in section e-e of the beam. (A Note: the natural axis is located 65 mm above the toe of the cross-section and I = 5.8133×106 mm4) 160 mm |180 kN 20 mm - N.A B 100 mm 65 mm 500 mm 500 mm 30 mm 30 mm 20 mm V 90 kN Cross-section of the beam -90 kN%3D QUESTION 2. An oblique bending moment of M = 5 kN.m is applied on the cross-section of an aluminum beam as shown in the figure. (a) Calculate the maximum values of compressive and tensile normal stresses on the crss section. (b) Define the orientation of the neutral axis and draw on the cross-sectionç. M = 5 kN.m 30° 10 mm 40 mm 10 mm A-40 mm--r: 30 mm 30 mm 10 mm 10 mm13. A block 100mm x 100mm base and 10mm height. What will the direct shear stress in the element when a tangential force of 10kN is applied to the upper edge to a displacement 1mm relative to lower face?
- 3. A beam with the cross section shown in Figure 3 is subjected to an internal moment of X6 kNm, acting at an angle of X7 degree from the z-axis. a. Calculate the centroid from the top of the beam section. b. Calculate the second moment of area in y and z axes. c. Determine the maximum bending stress on the beam. 150 mm 150 mm X6 kN.m 300 mm |X7 150 mm X6 1350 kNm X7 = 33 degrees = 150 mm 150 mmThe AB beam in the figure is mounted to the BC arm with a 30 mm diameter pin from the A end and the B end. Find the average shear stress (MPa) at pin B accordingly.P 3 m 3 m 120 mm 50 mm 50 mm 20 mm 20 mm 150 mm N/A y The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of allow = 250 MPa and an allowable shear stress of Tallow= 100 MPa. a) Determine the distance to the neutral axis (y), second moment of area (I), and the section modulus (S) of the cross-section. b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P. c) Determine the maximum value of P such that bending failure will not occur. d) Determine the maximum value of P such that shear failure will not occur. e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?