📘 statics

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

1. **State the problem:** We need to find the reaction forces at supports D (pinned) and B (roller) for the given truss with external loads: 800 lb downward at A and 200 lb rightwa

1. **Problem Statement:** Find the centroid of the first composite L-shaped figure with given dimensions in mm: vertical height 60 mm, horizontal top width 80 mm, vertical lower in

1. **Problem Statement:** Calculate the tension in cables AE and AD, and the components of the reaction force at the ball-and-socket joint C for a 2.4-m boom subjected to forces at

1. **Masalah:** Sebuah balok cantilever dengan panjang $L=4$ m dijepit pada ujung kiri dan diberi beban titik $P=600$ N ke bawah pada ujung kanan. 2. **Reaksi tumpuan pada ujung je

1. **Problem Statement:** Determine the tension $T$ in the cable and the reaction at point A for the given structure with a 500 N force applied at point C.

1. **Problem Statement:** Determine the tension in each segment of the cable ($F_{BA}$, $F_{BC}$, $F_{CD}$) and the total length of the cable.

1. **Problem statement:** Calculate the reaction force at pin A in a static system. 2. **Understanding the problem:** The reaction force at a pin is the force exerted by the suppor