mpressive stresses in the wood and steel if Ew = 11 GPa and E, MPa MPa
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- A cantilever wood beam with a span of L = 3.6 m supports a linearly distributed load with maximum intensity of w0. The beam width is b = 240 mm, and the beam height is h = 180 mm. The allowable bending stress of the wood is 7.6 MPa. Calculate the following: 1. Calculate the moment of inertia in mm^4. 2. Calculate the maximum allowable moment considering the allowable bending stress in N.m. 3. Calculate the magnitude of the maximum load w that may be carried by the beam in kN/m.The composite bar is subjected to a normal force P = 7500 lb as shown in the figure. The section of the composite bar is composed of two hollow tubes and a solid steel core. Determine the axial stress developed in each bar. Use Ecu = 18 x 106 psi, Est = 30 x 106 psi, and Ebr = 16 x 106 psi.Two blocks of wood, 25 mm x 75 mm, are glued together along the joint inclined at 15o. Determine the average normal stress and shear stress developed in the wood fiber along section a-a.
- The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions 150 mm 250 mm and two brass plates of cross-sectional dimensions 30 mm 150 mm. (a) Determine the maximum stresses B and w in the brass and wood, respectively, if the moduli of elasticity are EB 96 GPa and Ew 14 GPa. (Disregard the weight of the beam.) (b) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values, saB 70 MPa and saw 8.5 MPa, simultaneously under the maximum moment. What is the maximum moment?a tubular steel strut of length 1.2 m , inner diameter 100mm and outer diameter 180mm carries a compressive load of 3.5 MN. If poissons ratio for the material is 0.33 and the modulus of elasticity is 214 E GPA . determine the change of length and outer diameter of the column.If possible, answer in 3 decimal places, thank you. For the wood beam shown in Figure A, assume L=1.5 m and P=8 kN. The beam cross section shown in Figure B has dimensions of b=47 mm and d=232 mm. (a) Determine the maximum horizontal shear stress in the beam. (b) If the allowable shear stress for the wood is 800 kPa, what is the minimum width b that is acceptable for this beam? Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown for the forces By and Dy on the free-body diagram below. (Note: Since Dx=0, it has been omitted from the free-body diagram.) By= kN Dy= kN Determine the shear forces VAB, VBC, and VCD acting in segments AB, BC, and CD, respectively. Note that the shear force is constant in each of these segments. When entering your answers, use the shear force sign convention. VAB= kN VBC= kN VCD= kN…
- 4. A timber joist 100mm x 200mm is reinforced on its top and bottom surfaces by steel plates 15 mm thick x 100 mm wide. The composite beam is simply supported over a span of 4m and carries a uniformly distributed load of 10 kN/m. Modular ratio is 10. Determine the value of the following: a. The max. stress in timber b. The max. stress in steel c. The shear force per unit length transmitted by the timber/steel connection.A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi, α= 2.9 × 10−6 /°F] bar (1) and an aluminum alloy [E = 10,000 ksi, α= 12.5 × 10−6 /°F] bar (2), below. Each bar has a cross-sectional area of 2.00 in.2 . The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 26 kips is applied and the temperature is increased to 100°F, determine: (a) the normal stresses in bars (1) and (2). (b) the vertical deflection of joint D.The cross section of a wood beam carries a bending moment M of magnitude 20R lb.-in. acting at 100 to the horizontal. Determine(a)the angle between the neutral axis and the horizontal; and (b) the maximum bending stress acting on the cross section. Note: ( R=990)
- A weight of 300KN is supported by a short concrete column of size 250x250mm. The column is strengthened by 4 steel bars in the corners of total cross section area 6000mm^2. If the modulus of elasticity for steel is 15 times that for concrete, find the stresses developed in steel and concreteWooden planks 300 mm wide by 100 mm thick are used to retain soil with height 3 m. The planks used can be assumed fixed at the base. The active soil exerts pressure that varies linearly from 0 kPa at the top to 14.5 kPa at the fixed base of the wall. Consider 1-meter length and use modulus of elasticity of wood as 8.5 x 10^3 MPa. Determine the maximum bending (MPa) stress in the cantilevered wood planks.The composite beam shown in the figure is simply supported and carries a total uniform load of 90 kN/m on a span length of 4 m. The beam is built of a wood member having cross-sectional dimensions 150 mm x 250 mm and two steel plates of cross-sectional dimensions 50 mm × 150 mm. The moduli of elasticity are Es = 214 GPa and Ew = 11 GPa. (a) Determine the maximum stress in the steel. (Disregard the weight of the beam. Round to one decimal place.) (b) Determine the maximum stress in the wood. (Disregard the weight of the beam. Round to one decimal place.)