Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. Answers: R= HI 230 N M = i 320 N d = i Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. Single resultant force. 230 N 770 mm 770 mm 770 mm N N•m mm

P1) Using the second theorem of Catigliano find the amount of internal forces in the shown truss. (Note that the structure is symmetric.) с EA= cte A 130 112 D P 30 VP 38! ур 1/2 B Use the following numerical values if you like: l=2 meters, E=2100 tonf/cm², A-100 cm² and P-4 tonf.

Please write the solution on paper.

1.1.4 - Show all work please.

Use MOMENT - AREA METHOD to solve the problem

One end of a uniform wooden beam of length L and weight W is set on a rough floor. A support wire is attached to the beam at a distance of 4L from the other end. The support wire is run horizontally and attached to a post. In this configuration, the beam makes angle e with respect to the vertical. When a ball of weight W is hung at the end of the beam, the bottom of the beam does not slip. Derive an expression for the magnitude T of the tension in the support wire in terms of relevant system parameters. 4L W L W W tan O2W tan 0 Wetne O2Wctne Ө

Three forces are applied to the beam. F₂ = (-250 i + 6503 + -300 ) N. Variable F₁ F3 d₁ d₂ d3 Value Z 300 N 350 N 2 m 2.5 m 0.5 m F2 d3. d2 d1 F₁ Values for the figure are given in the following table. Note the figure may not be to scale. F3 Y → a. Replace the force system with an equivalent force, FR, express as a cartesian vector. b. Replace the force system with an equivalent couple → moment acting at point 0, (MR)o, express as a cartesian vector. Round your final answers to 3 significant digits/figures.

The force Facts along the line MA where M is the midpoint of the radius along the x axis. Determine the equivalent force-couple system at O if F= 265 N, R = 245 mm, 0 = 30°. The couple is positive if counterclockwise, negative if clockwise. Answer: F = ( Mo= i O R2 R 2 i+ i N•m j) N