A simply supported beam having a rectangular cross section. If the height of th etion is three times the width and the maximum allowable bending stress is 20 MP termine the dimension of the section. 10 kN 2 kN/m C h=3 -3 M 3 M b
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- The 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?A rectangular beam has a dimension of 210 mm x 260 mm. The simply supported beam is 5-m long and carries a concentrated load of 25 KN at the midspan. What is the maximum flexural stress of the beam? Blank 1 (use two decimal places)The girder of a simple log bridge supports a wheel load W acting at any position along the span. In addition, the weight of one log and the planks it supports is equivalent to a uniform load of 850 N/m acting on the log. Determine the maximum permissible wheel load W (in kN) based on an allowable shear stress of 0.75 MPa if the maximum shear stress on circular sections is 4/3 of the shear force divided by the cross-sectional Choices: 28.9 38.7 77.4 30.2 Note:please help me in this sample problem thank you
- 3.) For the given couple-force system shown, determine the horizontal component of Q. P= 335 KN Q= 44 KN R=74 KN-m Z=263 KNA simply supported beam carries a concentrated load of 31 kN at 7 meters from the left support (1 meters from the right support). Use EI = 80,000 kN-m2. Solve for the slope at the left support in degrees.A 5-meter cantilever beam 300 mm x 400 mm in cross-section carries a total uniformly distributed load of 26 kN/m. E=25GPA. What force (kN) should be applied at the mid-length of the beam in order to balance its deflection at the free end.
- Consider a 130-mm-long segment of a simply supported beam. The internal bending moments on the left and right sides of the segment are 55 kN-m and 60 kN-m, respectively. The cross-sectional dimensions of the flanged shape are shown in the accompanying figure. Assume b1 = 165 mm, b2 = 40 mm, b3 = 290 mm, d1 = 65 mm, d2 = 240 mm, d3 = 65 mm. Determine the maximum horizontal shear stress in this segment of the beam.A triangular wooden beam width 150 mm base and 300 mm height carries two concentrated load of 20 kN at third points. If the simple span of the beam is 6 m, 1. Compute the maximum shearing stress of the beam. a. 0.58 MPa b. 1.33 MPa c. 0.48 MPa d. 0.86 MPa 2. Compute the bending stress of the beam. a. 56.33 MPa b. 71.11 MPa c. 78.48 MPa d. 45.78 MPaFor the truss shown, determine the maximum axial stress experienced. P= 70 Ex. (1.5P) = 1.5(70) = 105 (2.5P) = 2.5(70) = 175
- In Step 6, sum of vertical forces, looks like you forgot an 8kip downward loadConsider a 155-mm-long segment of a simply supported beam. The internal bending moments on the left and right sides of the segment are 75 kN-m and 79 kN-m, respectively. The cross-sectional dimensions of the flanged shape are shown in the accompanying figure. Assume b1 = 135 mm, b2= 50 mm, b3= 205 mm, d1= 65 mm, d2= 180 mm, dz= 65 mm. Determine the maximum horizontal shear stress in this segment of the beam.A uniform T-section beam is 100 mm wide and 150 mm deep with a flange thickness of 25 mm and a web thickness of 12 mm. If the limiting bending stresses for the material of the beam are 80 MN/m2 in compression and 160 MN/m2 in tension, compute the second moment of area. 110.4 mm 111.4 mm 109.4 mm 108.4 mm