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- Determine the moments of inertia of the rectangular area about the x- and y-axes and find the polar moment of inertia about point O.Assume h0 = 0.37h, b0 = 0.15b.The polar moment of inertia for the area is JC = 642 (106) mm4, about the z' axis passing through the centroid C. The moment of inertia about the y' axis is 264 (106) mm4, and the moment of inertia about the x axis is938 (106) mm4. Determine the area A.The shaded area has the following properties:�# = 1.26 �10- ��' ; �. = 6.55 �100 ��' ; and �#. = −1.02 100 ��'Determine the moments of inertia of the area about the x’ and v’ axes if θ=30o
- The shaded area has the following properties:IX = 1.26 x 106 mm4= 6.55 x 105 mm4 andPxy. = −1.02 105 mm4 Determine the moments of inertia of the area about thex’ and v’ axes if θ=30Convert the following bearings to equivalent azimuths a. AB, N 25°25’ Wb. BC, Due East A 100- m steel tape is used to measure the distance of the line and found to be 1539.28m long. During measurement, the tape is supported the ends under a pull of 10 kg andthe observed mean temperature is 31 deg. celsius. The tape is of standard temperatureof 20 deg. celsius and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq.cm. The coefficient of linear expansion is 0.0000116/ deg. celsius and the modulus ofelasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg.a) Determine the total correction for temperature.b) Determine the total correction due to sag.c) What is the correct length of the line? Three hills A, B, and C are at elevations 135m, 146m, and 154m respectively above sealevel. Distance AB is 3.9km while distance BC is 3.1km.a) Find the effect of curvature and refraction between A and B.b) Determine the effect of curvature and refraction between A and B.c)…find the moment of inertia Ixy and Iyy in regard to the given axis
- Calculate the 2nd moment ( momemt of inertia ) about the x and y axes ( Ix and Iy)You are to determine the true direction of a line by altitude of the sun during a morning observation. If the value of Cos Z ( a quantity used for determining trueazimuth of the sun when the three sides of the astronomical triangle known) equals -0.08716 and the clockwise angle from the line to the sun is 150°45’, the true bearing of the line is___. a) If the observation was done in the afternoon, the true bearing of the sunshould be_____Given the function: 5y - 2 = 6cot(3x - π) +7, determine the period in degrees. 120 3 π/2 270 2π13
- Data are as follows: P=6.2 kN, L=3.2m, d=1.25m, b=80mm, t=25, h=120mm, h1=90mm. Determine the moment of inertia about the centroidal x-axis in mm^4.20) 68. The location of plastic neutral axis form the top edge of the flange in mm. 69. The plastic section modulus about the horizontal axis. x10^6 mm^3 (3 decimal places) 70. The plastic moment with bending about the vertical axis if Fy = 345 MPa. kN-m (rounded to the nearest whole number)Find the deviation of B from the tangent drawn at C. A.0.2489 B.0.0829 C.0.0711 D.0.0119 Find the deviation of A from the tangent drawn at C. A.0.0829 B.0.0711 C.0.0119 D.0.2489 Find the deflection at point B in inches.* A.2.987 B.0.143 C.0.853 D.0.995