The above figure (not drawn to scale) shows a 6 m long beam subjected to forces F₁ and F₂. Given, F₁ = 80 kN, F₂ = 50 kN Length X = 2 m, Length Y = 1.5 m Calculate Rg and Rp, the vertical reaction forces at the supports, B and D respectively. Enter your answers in kilonewtons (kN) in the boxes below: R 101

Required information A rope connecting points A and B supports the force F shown in the figure. Write expressions using Cartesian vector representation for the following. Take L = 8 ft and F= 12 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. y 30° es ÜAB : the unit vector in the direction from A to B. ûAB =

A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V 163 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 77 mm and the origin of the coordinate system is at centroid of the cross section. y= A Z= a mm; 2a mm; O 4a The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross-section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are Figure Q2 3a a The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB) of the cross section can be calculated as Distance = mm

2) The cantilevered L-bracket has applied loads of P and Q at point A. Find M, V, and N in each section of the structure (from A to B, then B-C). Choose a coordinate system that follows the right hand rule and write equations as a function of x and y for each section. The thickness of the beam is negligible for this problem. 2 Q P