Question

To analyze two built-up members that have the same geometry but are fastened differently, determine the maximum applicable shear force on each cross section, and determine the adjustment in spacing between the weaker member’s fasteners that would allow the member to support the equivalent maximum shear force of the stronger member. 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 22.00 kN each and are spaced perpendicularly to the page in increments of s = 100.0 mm . The geometries of the cross sections are given by a = 230.0 mm , b = 25.00 mm , c = 260.0 mm , d = 180 mm , and e = 285 mm . Assume the cross sections are uniform along the entire lengths of the members. The figure shows two cross sections consisting of a horizontal member and two vertical members fastened by nails, so their top and lateral borders are aligned. In cross section (a), the vertical members are connected by their tops to the bottom of the horizontal member at its ends. The horizontal member has length a and thickness b. Each vertical member has length c and thickness b. Two nails vertically pass through the horizontal member into the corresponding vertical member. In cross section (b), the tops of the vertical members are connected by the horizontal member between them. The horizontal member has length d and thickness b. Each vertical member has length e and thickness b. Two nails horizontally pass through the vertical members into the ends of the horizontal member. Vertical downward force V is applied to each cross section at the center of the horizontal member. The x axis is horizontally rightward. The y axis is vertically upward. 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) Va V a = Previous Answers Incorrect; Try Again; 5 attempts remaining Part B - Maximum applicable shear force on the member (b) Determine the maximum applicable shear force on the member (b). Express your answer to four significant figures and include the appropriate units. View Available Hint(s) Vb V b = nothing nothing Part C - Spacing adjustment to the weaker member for equivalent maximum applicable shear force Determine the required spacing in the weaker member such that both cross sections can support the same maximum applicable shear force as defined by the stronger member. Express your answer to four significant figures and include the appropriate units. View Available Hint(s) sn s n = nothing nothing

Answer 1