📘 structural engineering

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

1. **Problem Statement:** We need to construct load, shear, and moment diagrams for three beams with given loads and spans using the semigraphical approach.

1. **Problem Statement:** Design the critical slab panel using the ACI moment-coefficient method according to BNBC 2020 loading requirements with material properties $f'_{c} = 4$ k

1. **State the problem:** Determine the force in member BF of the truss using the method of joints and verify it using the method of sections.

1. **State the problem:** We have a vertical truss with horizontal forces applied at points B (23 kN left), C (63 kN left), and D (63 kN right). The truss has vertical segments of

1. **State the problem:** We have a vertical truss structure with horizontal forces of 23 kN at B, 63 kN at C, and 63 kN at D acting to the right. The vertical segments between poi

1. **Problem Statement:** We have a simply supported beam of length 10 m with two downward forces: a 10 kN force at 3 m from the left support acting at an angle downward-left, and

1. **State the problem:** Calculate the reaction forces at the fixed support (left vertical side) and the hinge support (right bottom corner) for a right-angled triangular beam wit

1. **Stating the problem:** We have a right triangle with a distributed load of 5 kN/m acting along the hypotenuse, which has length calculated from the base 2.3 m and height 1.2 m

1. **Problem statement:** A three-hinged parabolic arch with a span of 50 m and a central rise of 4 m is subjected to a uniformly distributed load (UDL) of 20 KN/m over half the sp

1. **Problem Statement:** Calculate the neutral axis depth $x$, moment of inertia $I$, and safe moment capacity $M_c$ for a reinforced concrete section with width $b=300$ mm, effec

1. **State the problem:** We need to design member AB of a truss subjected to various loads and reactions. Given loads are vertical forces at points A, B, C, D, F, and G, with angl

1. مسئله را بیان می کنیم: هدف حل نیروها و ممان ها بر روی تیر تحت بارگذاری‌های داده شده است. 2. ابتدا بارگذاری های داده شده را تفکیک می کنیم:

1. **State the problem:** We need to design a compression member 3m long using a pair of angles with long legs back to back, connected by a 10 mm gusset plate at each end. The memb