It is desired to lay off certain horizontal distances for building layouts. The length of the tape used in the cases below is not 100.00 ft. Determine the field dimensions (or actual tape readings) that should be used with the incorrect tape lengths so that the correct (true) dimensions are obtained. Desired Dimension Correct Tape Length 180.00 ft x 725.00 ft 99.96 ft Field dimensions of the readings (L): The equations for distance correction is: L CDs = L + * STDL (CTL-STD₁) or CDs = L (1 + (CTL-STDL) (DL)) or CDs = L * CTL STDL ST DL CDs=L+(L/STDL)* (CTL-STD₁) (OneNote Equation) or CDs= L*CT₁/STDL (OneNote Equation) WEEK 07 Page 4 (a) Desired dimensions: (180.00 ft. x 725.00 ft.)

On a vertical photograph of flat terrain, the scaled distance between two points is ab. Find the average photographic scale along ab if the measured length along the same line is AB on a map plotted at a scale of Smap for the following data. ab=1.66in.; AB=4.56in.; Smap=1:9600 (Express your answer in feet to four significant figures.) ab=116.04mm; AB=2.23mm; Smap=1:24,000 (Express your answer to three significant figures.)

Given the following information from a profiled line: STA 6+75 elevation = 142.01 STA 14+75 elevation = 206.16 Compute the slope distance (L) between these two stations round answer to 2nd decimal place example answer 1215.20 don't enter units L H

Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: ox = (M.I,M,L)y+(M,I.-M.I.) (1,1₂-13/2) where My and M₂ are bending moments applied to a cross-section, and where ly, lz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (iii) A Z--section beam has the cross-section shown overleaf (see Figure QB2). The second moments of area of the section about the y and z axes are given as;; ly = 1.12x106mm² and I₂ = 2.87x106 mm4. Show that lyz = 1.35x106 mm² (use the parallel axis theorem). 100 60 10 y -10 10 60 Figure QB2 N (iv) Bending moments Mz = 2.0 kNm and My = 0 kNm act on a cross- -section of the beam of part (iii). Obtain an expression for the bending stress and sketch the orientation of the neutral axis with reference to the y and z axes. What is the maximum tensile value of the axial bending stress and where does it occur?