Question 63 The dimensions of a solid rectangular beam sections (assume solid and homogeneous) are shown below with the formulae for second moment of area (I) about the centroidal axis. Calculate the Ixx and lyy values for the sections (b x d) in the table below: Ixx (centroidal axis), in mm b. d. lyy (centroidal axis) in mm 10 mm 40 mm 20 mm 80 mm 5 mm 20 mm 10 mm 10 mm 3 mm 200 mm Centroid, C bd3 Ixx centroid %3D 12 db3 Iyy centroid %3D 12

Question 63 The dimensions of a solid rectangular beam sections (assume solid and homogeneous) are shown below with the formulae for second moment of area (I) about the centroidal axis. Calculate the Ixx and lyy values for the sections (b x d) in the table below: Ixx (centroidal axis), in mm b. d. lyy (centroidal axis) in mm 10 mm 40 mm 20 mm 80 mm 5 mm 20 mm 10 mm 10 mm 3 mm 200 mm Centroid, C bd3 Ixx centroid %3D 12 db3 Iyy centroid %3D 12

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.8 m, b = 5.6 m, c = 3.8 m, P = 20 kN, w = 45 kN/m, and Q-10 kN. A P B W b C X What is the maximum bending moment on the beam? Answer in kN-m rounded-off to 2 decimal places When entering your answers, use the bending moment sign convention. I
(a) The Figure la show the cross-section of a beam. All dimension are in cm. 10 2 10 Figure la (i) Calculate the centroid of the cross-section measured from the bottom of the cross section. (ii) Calculate the moment of inertia, I, for this cross-section. (iii)A pure bending moment of magnitude 1.0 kN.m is applied to the cross- section, generating compression above the neutral axis, and tension below. Calculate the maximum values of the tensile and compressive stress. (iv)The bending moment is removed. The same beam cross-section is now subject to a vertical shear force of 2.5 kN acting in the downward. Calculate the maximum horizontal shear stress. Where does it occur?
QUESTION 4 There are 47 dowels - 10M, each measuring 910 mm, in a continuous concrete footing. What is the total rebar weight (kg)? (The mass of 1OM is 0.785 kg/m): QUESTION 5 The total length of a concrete beam (400mm X 600mm) is 10,427 mm. there are stirrups 10M@200mm on centre in this beam and the concrete cover is 25mm. How many stirrups does this concrete beam have?
a) The second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous beam section shown below is 737,101.55 mm4. What is the second moment of area about the centroidal y-axis (IYYcentroid). Give your answer in mm4 to two significant figures. b) If the second moment of area (IXX) for the solid homogeneous beam section shown below is 917,387.73 mm4, determine the diameter d. Give your answer in millimetres (mm) to two decimal places.
Hi, I want to find the location on the beam where the maximum bending moment happens as measured from point A. I have already gathered the following information. FAx= 0 FAy= 25.0869 FCy= 32.913 the sheer force at B= 3.087 The bending moment at B = 77.4785 Let the loading coefficents be: W1 = 4 kN/m, W2 = 8 kN/m Let the lengths be: L1 = 5.5m , L2 = 6m. If anyone could help me with this last step of the problem that would be great.
The second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous beam section shown below is 737,101.55 mm4. What is the second moment of area about the centroidal y-axis (IyYcentroid). Give your answer in mm4 to two significant figures. Ix
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-9.0 ft. c=4.0 ft, d=3.0ft, w=8 kips/ft and P = 66 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. B B ÎÎÎÎÎÎ Answers: Ay=i b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) W C b C C D E kips, Ey = i E X Ey kips.
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. y A A Answers: By a = Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = O, it has been omitted from the free-body diagram.) = a i B Cy i = W B b W b kips X kips X
For the composite beam section in Figure Q6a, calculate the second moment of areaabout its centroidal x-x axis (Ixx centroid), where b1 = 125.50 mm, b2 = 25.75 mm,b3 = 36.35 mm, d1 = 78.00 mm and d2 = 24.00 mm Give your answer to 2 decimalplaces.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=9.0 ft, c=4.0 ft, d=3.5 ft, w = 5.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Ay =___________ kips, Ey = __________ kips. Determine the shear force acting at each of the following locations:(a) x = 0+ ft (i.e., just to the right of support A)(b) x = 3.5 ft(c) x = 12.5 ft(d) x = 16.5– ft (i.e., just to the left of D)(e) x = 16.5+ ft (i.e., just to the right of D)(f) x = 20.0– ft (i.e., just to the left of support E) Answer: a to f ) V = ________ kips Use the graphical…
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