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Figure (a) shows the cross section of a column that uses a structural shape known as
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Chapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- a. find the area and vertical distances from the bottom edge of the cross-section to the centoid of rectangles b. Find Iz, the area moment of inertia about the z centroidal axis for the cross-section. c. Find QH, the first moment of area about the z centroidal axis for the entire area below point H. This area has width 2c2c and height tt. Also, find QK, the first moment of area about the z centroidal axis for the entire area above point K with width b and height t. d. Determine the magnitudes of the shear stress at point H and the shear stress at point K. e. Find Qmax, the maximum first moment of area about the z centroidal axis for any point in the cross section, and τmax, the maximum horizontal shear stress magnitude in the cross section.arrow_forwarda) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (σmax) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.arrow_forwarda) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.arrow_forward
- For the slender rod shown in the figure below, determine its total length in mm if radius R = 175 mm. Part 1 is the semicircular arc portion, part 2 is the vertical rod on the z-axis and part 3 is horizontal rod on the y-axis.arrow_forwardWhat are the STANDARD SI UNITS For Resultant force, FR Couple moment, M Load Intensity, w What are the standard SI units for those 3? circle answers pleasearrow_forwardIt is common to hang objects on doorknobs and over-the-door hooks. There is a limit to the amount of weight that a door can hold because of the forces exerted on the hinges. A door of height h = 2.5 m and width h/2 has a mass of M = 36 kg. The mass is distributed uniformly, so the center of mass is located at the geometric center of the door. One hinge is located a distance h/4 from the top of the door. The second hinge is a distance h/4 from the bottom of the door. Refer to (a) in the figure. The door’s weight is supported entirely by the two hinges and each hinge supports half of the weight. In other words, the vertical force exerted by each hinge is exactly one half of the total weight, including any additional load. For this problem, take the positive y-direction to be directly upward and the positive x-direction pointing from the hinge side of the door to the knob side. 1.) calculate the force, with its sign in Newtons that the upper hinge exerts on the door in the x axis.…arrow_forward
- Determine the second moments of area about the axes XX for the sections shown in Fig 4.23 Can I get the solution for this Question. Thank you. Subject: Strengh of Materialsarrow_forwardThe timber AB of Figure Y is 7.20 m long by 15 cm square. Find the specific weight of the timber and the total weight of the anchor (sp. gr. 2.40)arrow_forwardFigure Q2b shows a solid and homogeneous section, where (31.25 mm, 41.54 mm) are its centroid coordinates (x̄ , ȳ) relative to the axes origin, O. The dimensions for the section in Figure Q2b are b1 = 15.75 mm , b2 = 15.75 mm, b3 = 62.50 mm, d1 = 75.85 mm and d2 = 20.25 mm. Calculate the second moment of area for the solid and homogeneous section shown in Figure Q2b about its centroidal x-axis. Give your answer to two decimal places.arrow_forward
- In the figure below, a 100 N weight flower pot is suspended by three ropes. The tension in rope AB is three times the tension in ropes AC and AD. Find the dimension “d” on the figure which corresponds to the z-coordinate of point B. Also find the tensions in ropes AB, AC, and AD.arrow_forwardThe triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Suppose that a= 640 mmarrow_forwardTwo circular shafts, one hollow and one solid, are made of the same material and have the diameter shown below.If TH is the twisting moment that the solid shaft can resist, what is the ratio of Th to Tsarrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L