Design the beam using IPE shape.
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Design the beam using IPE shape.
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- For the beam shown: 1. Draw the free-body diagram (FBD) and determine the reactions at the supports. 2. Determine the internal forces and draw their diagrams. 5. Design the beam using IPE shape. 6. Draw the stress diagram in the critical cross section. Data: M = 70 kNm, F = 40 kN, L = 1 m, all = 100 MPa. IPE shape I M L F B L AFor the beam shown: 1. Draw the free-body diagram (FBD) and determine the reactions at the supports. 2. Determine the internal forces and draw their diagrams. 3. Design the beam using IPE shape. 4. Draw the stress diagram in the critical cross section. Data: F= 60 kNm, L = 1 m, 0 = 120 MPa. I IPE A F L #C L B2)For the supporting frame shown below: a) Determine the internal forces acting at section a-a. b) Determine the stress components that act at points A and B. IN = 2.6525x10-7 mª -300 mm 150 mm 2.5 kN a 12 mm 6 mm 6 mm 6 mm 36 mm'36 mm Section a – a
- An aluminum bar having a cross-sectional area of 160 mm2 carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B, = 0.8 m; B, = 1.0 m; B3= 0.6 m. Determine the axial stress of bar B; in MPa. 35KN B1 B2 ВЗ ... 10KN 15KN 30KN A 218.75 B 125 C 62.5 D 31.25The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. al B st μA D 0.75 m 0.75 m 0.75 m 0.75 m PV P= Value al 2P F If each bar has a cross-sectional area of 415 mm², determine the maximum value of P if the allowable stress is (allow)st = 190 MPa for the steel and (allow)al = 150 MPa for the aluminum. Est = 200 GPa El = 70 GPa. Express your answer to three significant figures and include appropriate units. Units 2 m E ?The frame supports the distributed load shown. Determine the state of stress acting at point E. Show the results on a differential element at this point. The section is composed of two materials where E₁ = 200 GPa, and E₂ = 150 GPa AC xxxx E. 4 kN/m -1.5 m 1.5 m--- -3 m 3 m BA 20 mm 60 mm 20 mm 5 m E 50 mm E₁ = 200 GPa E₂ = 150 GPa
- A simply supported beam is loaded by the couple M=2000 N-m as shown. The beam has a channel-type cross section as illustrated. 3 cm 30 cm 3 cm 3 m -2m1 10.5 cm BI 12 cm M. Determine the maximum tensile stress in the beam. O 1.60 MPa 3.73 MPa )2.49 MPa O1.07 MPa Determine the maximum compressive stress in the beam. 3.73 MPa O 1.07 MPa 2.49 MPa O 1.60 MPa Determine the maximum shear stress in the beam. O 00588 MPa 0.0490 MPa 0.0653 MPa O 0.0667 MPaA beam ABC with an overhang from B toC supports a uniform load of 200 lb/ft throughout itslength (see figure). The beam is a channel section withdimensions as shown in the figure. The moment of inertiaabout the z axis (the neutral axis) equals 8.13 in4.(a) Calculate the maximum tensile stress σt andmaximum compressive stress σc due to theuniform load.(b) Find the required span length a that results inthe ratio of larger to smaller compressive stressbeing equal to the ratio of larger to smaller tensilestress for the beam. Assume that the totallength L =a + b = 18 ft remains unchanged.1. Determine the maximum tensile and compressive bending stresses in the beam shown. 6 kN A B C 120 1.0 m 1.2 m 2 kN -| 4090→ 40 |- Dimensions in mm 2. Find the lightest S-shape for the beam shown if the working stress in bending is 120 MPa. What is the maximum bending stress in the beam selected? 40 kN/m 4 m - 2.4 m 3. For the beam shown in the figure, find the shear stress at a point 30 mm above the bottom of the beam at section C. 50 mm | 14 kN E1.5 m – 3 m 100 mm I = 19.3 × 106 mmª B C A NA 62.5 mm 50 mm 2 m 100 mm 4. The simply supported wood beam, fabricated by gluing together four wooden boards, carries the three concentrated forces. The working bending and shear stresses for the wood are 1000 psi and 600 psi, respectively. Determine the largest allowable value of the force P. P 0.5 in. → -8 in.→+ 0.5 in. P 2 in. 2 ft -4 ft-+ 4 ft→ 2 ft 6 in. $2 in. SAP
- P A B 1m E 1m 2m The simply supported beam shown has a solid rectangular cross section having beam width of 130mm and a height of 200mm. Assuming values of P = 25KN, w = 30 kN/m, and E = 5m, determine: 1) The max tensile bending stress in MPa (enter this value into D2L answer box, in MPa). Exactly where does this occur along the beam? (4 sigs) 2) The max shear stress in MPa. Exactly where does this occur along the beam? ( 4 sigs) Your Answer:a. The beam weighs 3600N. Draw the V and M diagram. b. Assume we do not know the weight of the beam the solid steel bar has a square cross section of side b and is supported as shown. We know that density of steel is 7860 kg/m, calculate the dimension b for which the maximum normal stress due to bending is 50 MPa. L. C D VAR 2m +12m -1.2 m-1.2 m 1.2 m-Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods AB & DE and a pin support at C. Bar ACD was horizontal prior to the application of load P. The tensile strain measured in rod AB after the application of the load is ɛ1= 0.003. Determine the rotation 0 of the bar ACD and the normal strain in rod DE. Also calculate the value of load P for these deformations. The diameters of rod AB and DE are 1.5 in. and 2 in, respectively. P - 4 ft 4 ft- 6 ft A Rigid (2) 6 ft 8 ft (1) E В