7.10 A concrete member has a cross section as shown. Locate the centroid. 5' - 0" Sym. 5" 1'-0" 1' - 0" PROBLEM 7.10
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- The cross-sectional area of a wide-flange l-beam has the dimensions shown. Obtain a close approximation to the handbook value of T, = 654 in.4 by treating the section as being composed of three rectangles. 16.25" 0.380" 7.073" 0.628"1. kN along Z-axis and a shear force of 2 kN along Y-axis. The other end of the axle is fixed to a rigid wall. 1) Calculate all internal loadings on the cross section through the point A. 2) Calculate the stress at point A due to each internal loading. The solid axle has a diameter of 40 mm. It is subjected to a shear force of 1 centroid of a semicircular area, radius =r 4r Rigid Wall 1 kN 0.4 m 2 kNThe two timber beams loaded as shown are connected by a roller support at point C and supported by hinge at D and A. Beam AC is supported by steel rod 3m from point A. Determine the vertical displacement at point C. Show all the necessary solution.
- 16cm. 34.8cm = 1.0 SGcone = 0.9 Which is the more stable pesiton? IS1. 2. 10 mm 10 mm 3. 5 mm 100 mm A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force of V = 2.5KN. 50 mm 100 mm Calculate the position of the centroid and the the second moment of area of the section about the sentroid horizontally. Draw the bending stress distribution through the height of the beam by calculating the bending stress at the critical positions Draw the shear stress distribution trough the height of the beam by calculating the shear stress below the flanges and at the centroid. 4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the beam.(7) 5. Draw the shearflow through the section. Show calculationsNote: End of the question answer also given if you got answer other than that values please leave it. Two long poles each 5.0 m tall, one of steel and one of hardwood (such as oak), are anchored vertically in a concrete slab so that only that part above the concrete can bend or be compressed. If the top of each is connect to the ground by a wire under tension to a point 1.0 m from its base, by how much does each bend and is compressed by this wire if it has a tension of 10,000 N. Assume that each pole has a radius of 6.0 cm. Answers: Δxwood = 87 μm, ΔLwood = 290 μm
- The cross sectional dimensions of a beam are shown. If the flange thickness, h, is 16.2 mm, determine the second moment of area of the cross section. Note: Give your answer in mm4 Note: Do NOT include units in your answer. 10MM 150HM 120 MM hmmProblem#3. A chord in a bridge truss is composed of the elements as shown; 18" X 1" Size Area x 3* x1 s" x 3* x4 Units sq in. in. in. 5x3 x angle 6x4x1 angle 6 x 6 x angle 8x6 x1 angle 3.75 9.00 5.75 1.75 2.17 0.75 16"xN 1.17 1.68 1.68 Web thick- 13.00 2.65 1.65 ness t (in.) 10-13.3 lb channel 12-20.7 Ib channel 4.47 6.03 0,64 0,70 0.240 x6x 0.280 a. Determine the centroidal Moment of inertia Ixo: answer: b. Detemine the centroidal moment of inertia lyo answer:The hollow square cross section shown has a wall thickness, T, of 10.9 mm. Determine the second moment of area of the cross section. Note: Give your answer in mm4 Note: Do NOT include units in your answer lo0 nm Answer: evious page Next page ://learnonline.gmit.ie/mad/quiz/attempt.php?attempt=5462898 cmid 425173&page=.. 16°C Mostiy clody ASUS VivoBook esc
- A bridge support beam has an L-shaped cross section as illustrated below, with a thickness of 15 mm along both the web and the two flanges. Y Centroid axis X. 300mm a) If the beam is subjected to a simple compressive load of 25 kN in Y direction along its I- cross section. Calculate the resulting compressive stress.. b) Calculate the magnitude of the second moment of area of the cross section about the axis that passes through the centroid,. If the compressive load is removed, and the beam is put into pure bending about the yaxis by c) a moment of 20 kNm with the upper flange going into tension. Calculate the maximum tensile and compressive stresses... d) If the beam is now subject to both the bending and compressive loads simultaneously, calculate the new maximum tensile and compressive stresses and the location of the neutral axis.. 300mmDetermine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis.9. Determine the bending maximum stress in the steel strip loaded and supported by pins as shown. 3" 5" 3/16" 12 lb 5/8"