50 kN 150 kN m 15 kN/m A 3 m E В 6 m 3 m 3 m a) Determine the reactions at supports A (pin) and D (roller). b) Determine the internal loading at x= 3 m (point E) measured from point A. c) Write functions for shear force (V) in terms of x d) Write functions for bending moment (M) in terms of x.

Use the method of SECTIONS to find the true magnitude and direction in bar HG of the truss shown below in Fig 3.5 -500lb -100lb A 45° -200lb H -100lb 2 B -200lb -200lb MAGNITUDE AND DIRECTION OF SUPPORTS -500lb H -100lb 45° 2¹ C2D 2¹ Fig 3.5. -200lb -100lb LI 2 B 2₁ 2₁ D 2₁ E

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 =

For the steel beam used to the support the loads shown below: a) Draw normal and shear force diagram and bending moment diagram. b) Determine the magnitude and location of maximum moment. w2=5KN/m w1=3KN/m F1=25KN F2=10KN "M2=20KNM M1 =20KNM (m) 2. 4. 8. 10. 12.

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy

Please use the Rigid Bodies method from vector dynamics.

3- Draw the shear force and bending moment of the beam. You have to find their equation, and your diagram without calculation is not acceptable.(41) 20 kN 1.5 kN/m B 1m 1 m 4 m

]: A horizontal beam with a length of 4.5 m is subjected to the shown loading. The forces are vertical and the couple moment is applied at point D. The figure is not to scale. 3 kN/ m 1 kN/ m 3 kNm A В C D E 1 т 1.5 m 0.5m 1.5m 0.6 KN 1.35KN (a) Motivate with substantiating explanations and clear and applicable calculations why the beam is in equilibrium. (b) Draw the shear force and bending moment diagrams for the beam. Calculate all local maxima and minima, zeros and points where the diagrams change shape, and show these values and points on the diagrams.

A storage rack to hold the paper roll. Find force reactions and draw the shear and moment diagrams for the mandrel that extends half of the roll. Use singularity functions for this problem. Givens stanchion paper roll Density=984 kg/m^-3 OD=1.5 m ID=0.22 m L=3.23 m Density=mass/volume So W=(density*volume)*gravity Volume of hollow cylinder= (pi/4)(OD^2-ID^2)*Length of cylinder Length of mandrel=1/2 of L=>1.615 m mandrel base Assumptions: The storage rack is acting with a fixed support With a distributed load of "w" where w is the weight distrubuted

SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate all reactions, draw shear and moment diagrams