A circular steel shaft with length, L (m) has an outer diameter, d2 (mm) and inner diameter, d1 (mm). The modulus of rigidity G = 75 Gpa. Analyze the shaft due to an applied torque, T (kN-m) at both ends. T Given: d1 = 100 mm, d2 = 150 mm, L = 1.0 m and T = 14 kN-m. What is the torsional shear stress at the outer surface in Mpa? (2) decimals)

4) A precast T beam with the dimensions shown below is to be a used as a bridge over a small roadway. The beam is used on a 30 ft simple span, and the total factored load including the beam's self-weight is 15.6 kips/ft. Assume d = 21" for your calculations. fc' = 6000 psi and fy = 60000 psi. a. Calculate the maximum mid-span moment - this is Mu b. Check the effective width of the beam as per ACI 318-19 Table 6.3.2.1 C. Check whether the T-Beam designed as a rectangular section would be able to provide the required Mu. If not, design the section as a T-Beam to calculate the required reinforcement. Try to keep close to 0.9 (it is okay if it's a little under). But calculate the correct value of . d. Sketch the section following the guidelines for bar arrangement.

3. Submissions must be in pai or jpeg PROBLEM 1: The frame shown is supported with hinges at A and C and a pin at B. Determine the reactions at these supports. A6 On peg wil 800 KN EX tim Im - Im - Iskwilm 300 *** 199 201 4m THE

معلومات الطالب Your email address will be recorded when you submit this form. Not eng1pe19057@uokirkuk.edu.iq? Switch account * Required Untitled Section If A x B = A.B then the angle between A and B will be a) п b) π/2 c) T/3 d) π/4 e) None of the above E t0 11)2