Question

The two cross sections shown below, (a) and (b), are subjected to a vertical shear force as shown. The members are fastened by nails that can support a load of 21.00 kN each and are spaced perpendicularly to the page in increments of s = 105.0 mm. The geometries of the cross sections are given by a = 250.0 mm, b = 50.00 mm, c = 255.0 mm, d = 150 mm, and e = 305 mm Assume the cross sections are uniform along the Π Π bk bk bk (a) entire lengths of the members. Part A - Maximum applicable shear force on the member (a) Determine the maximum applicable shear force on the member (a). Express your answer to four significant figures and include the appropriate units. View Available Hint(s)

Answer 1

Ans o 5=105 mm = 250 mm b =50 mm e = 255 mm d = 150 mm e = 305 mm 150 250 ý = Ang;+ 2 A242 Ai+2 A2 50 ( 255 13 2 = 250 X50x (52) +2X255X50X ( 50+255) 50 50, 250x850 +2x255x50 = 127.335 mm from top ) Ij 11 2 3 12 250X503 250X50 (127.335-25) 2 50 X255) 750X255 (1271335-1775) (127.335–17763] +2 12 = 133.5098x10 + 2021349x106 = 335.859 X106 Iy = mm 4 9 vo I

2x21x103 - v (250X50 X (127.335-2] 335.859x106 105 V = 105022.6 N Б) 2x21x103 105 V [ -25)] 150x50 x (1271335-2 335.859106 V: 175037.67 N e) weakestis less of both = 10502206 N 2x21x103 100, 250x50x(1271335 175037164 - 299 S 3351858x106 S=63 mm