A beam of (15x15x60) cm is subjected to a three-point bending test (three-point bending- modulus of rupture test). If the load value at the moment of break is (1950 +20) kgf, calcul the stress corresponding to the breaking moment. (First draw the moment diagram, then calculate the tensile stress at the greatest bending)
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- Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? Please answer this with FBD please. Thank you.A 3m long steel plate having a cross section of 25mm by 300mm is use as a hanger and subjectedto a tensile load of 1070 kN. The proportional limit of the steel is assumed to be 200 MPa. If thePoisson’s ratio is 0.25, determine the following;a. The transverse strain,b. The total axial deformation, andc. The transverse dimensional change along 300mm.The components of plane stress at a critical point on a steel shell are shown in the figure below. The yield stress (Gy) of the material in simple tension is 250 MPa. 60 MPa 40 MPa 70 MPa (a) Determine the magnitude of the principal stresses and maximum shear stress. Sketch these on appropriately orientated elements. (b) Calculate the factor of safety against yield on the basis of i. Tresca failure criterion ii. Von Mises failure criterion
- The rectangular plate is subjected to the deformation shown by the dashed lines. Determine the followings: 1) the average normal strain along side AB 2) the average normal strain along the diagonal AC 3) the average normal strain along the diagonal BD 4) the shear strain at B 5) the shear strain at D B C 8P mm 2 mm 4 mm 10P mmA hollow cylinder with an OD of 100mm and an ID of 30mm, supports a load of 100kN. What is the compressive stress in MPa? I am new to the subject but why use .....AC = π * (D2 - d2) / 4 instead of A = π(r12 - r22) to find the cross sectional area of a hollow cylinder ?.Practice 2 A fixed ended steel beam 8m long carries a uniform load 20kN/m and an axial tensile force of 200KN. The properties of steel section is as follows: A = 7800 mm? d = 324 mm Ix = 140x10 mm ly = 16x10 mmt What is the axial stress of the beam, in MPa. What is the actual bending stress in the beam due to uniform load alone acting on the beam, in MPa. -. What is the interaction value if Fb = 210 MPa and Ft = 100 MPa? answer key а.)25.64 Мра b.) 123.43 Мра c.) 0.844
- AN ALUMINUM TUBE IS FASTENED BETWEEN A STEEL ROD AND BRONZE ROD AS SHOWN IN THE FIGURE. AXIAL LOADS ARE APPLIED AT THE POSITIONS INDICATED. FIND THE VALUE OF P THAT WILL NOT EXCEED A MAXIMUM OVERALL DEFORMATION OF 5mm OR A STRESS IN THE STEEL OF 120MPa, IN BRONZE OF 130 MPa AND IN ALUMINUM OF 90 MPa. Modulus of Elasticty of Bronze = 80 GPa, Aluminum = 65 GPa and Steel = 210 GPa. 2P P 3P 4P L = 500mm 800 A = 400mm² 900 600 700 CA beam with a channel section is subjected to a bending moment M having its vector at an angle e to the z-axis (see figure). M Determine the orientation of the neutral axis B (in degrees clockwise from the +z-axis) and calculate the maximum tensile stress o, and maximum compressive stress o, in the beam. (For the stresses, enter your answers in ksi and use the deformation sign convention. To solve this problem, be sure to draw a sketch of the cross section showing the orientation of the neutral axis and the locations of the points where the stresses are being found.) Use the following data: C8 x 11.5 section, M = 44 kip-in., tan(6) = See this table for the dimensions and properties of the channel section. B = • clockwise from the +z-axis O: = ksi ksiA small aluminum alloy [E = 76 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 180 mm. The cross-sectional dimensions of the tee shape are b = 24 mm, d = 36 mm, and t = 4 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 430 με is measured from a strain gage located at c = 10 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P?
- A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 165 mm. The cross- sectional dimensions of the tee shape are b = 19 mm, d = 29 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 480 µɛ is measured from a strain gage located at c = 5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P |1 Strain gage- d D E 2 H b Answer: P= i NIn a standard tensile test a steel rod of 22-mm diameter is sub- jected to a tension force of 75 kN. Knowing that v = 0.3 and E = 200 GPa, determine (a) the elongation of the rod in a 200-mm gage length, (b) the change in diameter of the rod. 0 60 9:59 3/12/2A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 165 mm. The cross- sectional dimensions of the tee shape are b = 19 mm, d = 29 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 480 µɛ is measured from a strain gage located at c = 5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? %3D 3P Strain gage d. H. a. b. Answer: i ! N