📘 structural engineering

1. **Problem Statement:** We have a beam with the following loads and supports:

1. **بیان مسئله:** محاسبه لنگرهای انتهایی به روش بخش‌لنگر، واکنش‌های تکیه‌گاهی و رسم دیاگرام نیروی برشی و گشتاور خمشی برای تیر افقی با بارگذاری نقطه‌ای $p+80=5+80=85$ کیلو نیوتن در

1. **بیان مسئله:** محاسبه لنگرهای انتهایی به روش پخش لنگر، واکنش‌های تکیه‌گاهی و رسم دیاگرام نیروی برشی و گشتاور خمشی برای تیر با بارگذاری نقطه‌ای $p+80$ کیلو نیوتن در نقطه B و بار

1. **State the problem:** We have a simply supported beam of length 12 m with a uniform load of 10 kN/m and two equal point loads of 150 kN each at the third points (4 m and 8 m).

1. **Problem Statement:** We are given a commercial building floor plan with beams and various loads (live load LL, dead load DL, superimposed weight SW) acting on slabs and beams.

1. **Stating the problem:** We have a horizontal beam supported at two points: a left roller support (Rb1) and a right pin support (Rb2). The beam experiences four upward forces. G

1. **Problem Statement:** Determine the reaction forces at supports A and B of the beam shown in Figure 1, and then find the shear force and bending moment at point B (just before

1. **Problem Statement:** Determine the reaction forces in the beam and the shear and moment at point B (just before the support). 2. **Step 1: Identify the beam supports and loads

1. **Problem Statement:** Determine the maximum shearing stress in a simply supported W310x74 steel beam of length 9 m carrying a dead load of 3 kN/m. The beam is made of A36 steel

1. **Problem Statement:** Draw the shear and moment diagrams for a cantilever beam fixed at the left end (x=0) and extending to the right for 9 ft.

1. **Stating the problem:** Calculate the forces $F_q$ and $F_{q2}$ from the distributed load $q_n = 6$ kN/m acting on the beam.

1. **State the problem:** Calculate the reactions at supports A and B, then find shear force and bending moment values along the beam. 2. **Given data:**

1. **Problem Statement:** Determine the force in each member of the truss given loads $P_1 = 6$ kN and $P_2 = 9$ kN, and state whether each member is in tension or compression. 2.

1. **Problem Statement:** Determine the value of $b'_c$ (the effective flange width or concrete cover dimension) in the context of the beam or slab design.

1. **Problem Statement:** Determine the maximum beam spacing (tributary width) for the second storey concrete beams under the combined Dead + Live load.

1. **Problem Statement:** We need to find the deflection of a simply supported beam of length $L=31$ m with a uniform distributed load $W=62$ kN/m applied over the left half ($0 \l

1. **Problem Statement:** Calculate the allowable load on a simply supported precast plain concrete beam with span $L=3$ m, given the cracking moment $M_{cr}=27$ kN-m.

1. **Problem Statement:** Calculate the allowable load on a simply supported precast concrete beam with given dimensions and material properties, and determine the cracking moments

1. **Problem Statement:** Calculate the volume (متره) and estimate the cost (براورد) of a floor slab made of تیرچه و یونولیت (joist and polystyrene) with a thickness of 30 cm, excl

1. **Problem Statement:** Calculate the shear forces and bending moments for a cantilever beam fixed at A with a downward reaction of 24 kN at A, a uniformly distributed load (UDL)

1. Stated problem: Przepiszemy i poprawimy podane wzory i wartości, uwzględniając poprawki długopisem. 2. Wzory i obliczenia: