📘 statics

1. **Problem Statement:** Find the magnitude and position of the resultant force for the beam with loads: 10 kN/m uniform distributed load, point loads 40 kN and 60 kN downward, an

1. **State the problem:** We have a truck with mass 4300 kg and a pallet of shingles with mass 1600 kg on a boom. We need to find the reaction forces at the rear wheels B and front

1. **State the problem:** We have a horizontal member pinned at point A and resting on a smooth support at B. A downward force of 60 N acts 0.5 m from A, and a counterclockwise mom

1. **Problem Statement:** Determine the support reactions at point A for the beam with a collar that can slide vertically, subjected to a 900 N downward force at the center, a 500

1. **Problem Statement:** A 300N load is applied vertically downward at point D on a semi-circular disc of radius 1.5m. We need to find the forces in cables BD and CD, and the x, y

1. **Problem Statement:** Find the magnitude and position of the resultant force for the forces 40 kN, 60 kN, 30 kN, and 20 kN acting on a beam with given positions 1, 1, 2, 3, 5.

1. **Stating the problem:** We have a 3-hinged arch with hinges at points A, S, and B. The arch is loaded with a uniformly distributed load $q = X = 1$ kN/m over the horizontal spa

1. **Stating the problem:** We have a three-hinged arch with hinges at points A, B, and S. The arch is loaded with a uniformly distributed load $q = X$ kN/m over the horizontal spa

1. **Problem statement:** Determine the vector expression for the tension $\mathbf{T}$ in cable AB acting on member AD, given the tension magnitude is 2.2 kN. Also find the magnitu

1. **Problem statement:** Find the tension in cable BD supporting the crane arm ABC. 2. **Given data:**

1. **Problem statement:** Determine the force in each of the five cords supporting a 30-kg pipe at point A in the suspension system shown.

1. **Problem Statement:** We have a uniform rod AB with weight 8 N acting at its center of gravity, which is at the midpoint of the rod.

1. **Problem Statement:** We have a tractor weighing 8400N acting vertically downward at point C, and an additional weight of 3600N acting vertically downward at point D. The tract

1. **Problem Statement:** A tractor weighing 8400 N acts vertically downward at point C. It raises a weight of 3600 N acting vertically upward at point D. Points A and B are the wh

1. **Problem Statement:** Calculate the tension in cables CE and AD supporting beam OABC with a load $P=72$ KN at point C.

1. **Problem 1: Calculate the moment about point A due to the force F = 40 N applied on the arm.** 2. The arm has a vertical length of 0.45 m and two horizontal segments: 0.06 m (l

1. **Problem Statement:** Find the magnitudes of reactions at supports A and L, and the internal forces in members AB, CE, BC, LJ, LK, DF, DG, EG, IG, and HF for the given statics

1. **Problem Statement:** Calculate the pin reactions at points A and C, and the uniform load intensity $w$ for a folding table frame with given dimensions $a=0.6$ m, $b=0.8$ m, $c

1. **Problem Statement:** We have a simply supported beam of length 3 m with a uniform distributed load (UDL) of 1.5 kN/m acting downward over the entire length. We need to draw th

1. **Problem Statement:** Determine the tensions $P$ and $Q$ in the cables attached at point $B$, and the resultant force $R$ acting at point $O$ for the streetlight system.

1. **Stating the problem:** We have a truss structure with vertical downward forces of 10 kN applied at points F, G, and E. Supports are at points A (triangular support) and D (rol