📘 structural engineering

1. **Problem Statement:** Calculate the critical flexural–torsional buckling stress $F_{cr}$ for a column with given properties: $$E=200000\ \text{MPa},\ G=77000\ \text{MPa},\ A=25

1. **State the problem:** Calculate the torsional stress capacity of a compression member given: - Cross-sectional area $A = 1700\ \text{mm}^2$

1. **Problem Statement:** Calculate the Flexural Euler Stress $F_e$ for a compression member with given slenderness ratio $\frac{KL}{r} = 200$ and modulus of elasticity $E = 200,00

1. The problem is to generate a shear force and bending moment diagram for a beam under given loads. 2. To do this, we first need the beam's loading conditions, support types, and

1. **Problem Statement:** We have a simply supported beam of length $L$ with supports at $A$ (pin) and $C$ (roller). The beam is loaded with a triangular distributed load starting

1. **Problem Statement:** A square footing supports a 300mm x 500mm RC column with dead load 770 kN and live load 420 kN. The footing bottom is 1.5m below ground. Soil weight is 18

1. **Problem Statement:** Determine the design moment of a rectangular beam with width $b=400$ mm, total height $h=800$ mm, concrete compressive strength $f_c'=28$ MPa, and steel y

1. **Problem Statement:** Calculate the ultimate moment capacity or a related structural parameter for a 6-m simply supported beam with given material strengths and cross-sectional

1. **Problem Statement:** Determine the compressive stress in the concrete of a 6-m simply supported beam subjected to a uniform load of 75 kN/m, given concrete strength $f_c' = 28

1. **Stating the problem:** Calculate the reactions and internal forces in a beam of total length 10 m divided into segments 4 m, 3 m, and 3 m.

1. **Problem 1: Maximum point load on simply supported beam** Given:

1. **Problem Statement:** Determine the greatest load $P$ that can be applied to the triangular truss so that no member experiences tension exceeding 2 kN or compression exceeding

1. **Problem 1: Shear and Moment Diagrams for a Simply Supported Beam with Uniform Load** Given: A simply supported beam of length $L=12$ m with a uniform distributed load $w=9$ kN

1. **Problem Statement:** We have a beam supported at points A, C, and D with distributed loads varying linearly and a moment at point E. The beam is divided into sections of lengt

1. **Stating the problem:** We have a beam structure with distributed load $q=2$ y t/m over a length of $8$ m (from C to D), and a point load $P=8$ y t applied at point E at a $60^

1. **Problem Statement:** Solve for the reactions at the supports of the given frame structure using the slope-deflection method considering sidesway. Then, draw the shear force an

1. **Problem Statement:** Draw the moment diagrams for the beam ABC using the method of superposition, considering the beam is cantilevered at support B.

1. **Problem Statement:** We have a rectangular truss ABCD with points A, B, C, D, E, and F. The truss has segments of lengths 3 m, 4 m, and 3 m horizontally and vertically. A down

1. **Problem Statement:** We have a triangular truss with a 100 kN downward load at the top joint D. The truss is symmetric with vertical spacing of 4 m between horizontal segments

1. **Problem Statement:** Determine design forces at ULS, deflection, reinforcement areas, and analyze materials for a simply supported reinforced concrete beam and steel columns i

1. **Problem Statement:** Determine design forces at ULS, deflection, reinforcement areas, and beam dimensions for a simply supported reinforced concrete beam with given dimensions