The document appears to be a midterm exam for a Structural Analysis 1A course at Cairo University's Faculty of Engineering. The exam consists of 4 questions testing concepts like shear stresses in beams, load determination, stress calculation using Mohr's circle, reaction forces, shear and bending moment diagrams, and beam deflection. Students are asked to solve mechanics of materials and structural analysis problems for beams and structures under different loads and boundary conditions in 120 minutes without references.

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‫جامعة القاهر‬ ‫قسم هندسة الطيران و الفضاء‬ ‫كمية الهندسة‬
Cairo University Aerospace Engineering Department Faculty of
Engineering
Structural Analysis 1A
Midterm Exam – 29th May 2011
Duration: 120 Minutes
Closed Book Exam - Non-Programmable Calculators are allowed
1- Answer the following questions with short answers. (5 Points)
a. Why do the longitudinal sheer stresses exist in beams subject to lateral loading?
b. In the modern world, Mohr’s circle had become a useless tool for stress analysis.
Comment!

2. ‫ة‬
‫جامعة القاهر‬ ‫قسم هندسة الطيران و الفضاء‬ ‫كمية الهندسة‬
Cairo University Aerospace Engineering Department Faculty of
Engineering
Structural Analysis 1A
2- For the structure show below:
a. Determine the loads at the section H (5 points)
b. Calculate the stresses at point H due to different loads (5 points)
c. Using Mohr circle, evaluate the maximum axial and shear stresses at point H (5 points)

3. ‫ة‬
‫جامعة القاهر‬ ‫قسم هندسة الطيران و الفضاء‬ ‫كمية الهندسة‬
Cairo University Aerospace Engineering Department Faculty of
Engineering
Structural Analysis 1A
3- For the beam below
a. Evaluate the reactions at points A & B (3 points)
b. Sketch the shear force diagram (3 points)
c. Sketch the bending moment diagram (3 points)
d. Evaluate the displacement at the point at midway between A&B (3 points)

4. ‫ة‬
‫جامعة القاهر‬ ‫قسم هندسة الطيران و الفضاء‬ ‫كمية الهندسة‬
Cairo University Aerospace Engineering Department Faculty of
Engineering
Structural Analysis 1A
4- For the beam shown below, initial deflection was enforced at the right end
a. What are the boundary conditions at each of the beam ends (3 points)
b. Determine the deflection of the beam as a function of x (3 points)
c. Get an expression for the bending moment of the beam (3 points)
d. Evaluate the bending moment at the ends of the beam (3 points)
e. Evaluate the bending moment at the middle of the beam (3 points)

5. ‫ة‬
‫جامعة القاهر‬ ‫قسم هندسة الطيران و الفضاء‬ ‫كمية الهندسة‬
Cairo University Aerospace Engineering Department Faculty of
Engineering
Structural Analysis 1A

6. ‫ة‬
‫جامعة القاهر‬ ‫قسم هندسة الطيران و الفضاء‬ ‫كمية الهندسة‬
Cairo University Aerospace Engineering Department Faculty of
Engineering
Structural Analysis 1A