A 880 mm C B 720 mm 260 mm 400 mm 430 mm D Bar (1) Aluminum Bar (2) Steel Elastic modulus, E 70 GPa 200 GPa 2 Area, A 200 mm² 400 mm²

A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (ES = 200 GPa and as = 11.7 x 10-6/°C) and portion BC is made of brass (En= 105 GPa and an= 20.9 x 1o-6rC). Knowing that the rod is initially unstressed, determine the compressive force induced in ABC when there is a temperature rise of 50°C. 30-mm diameter 250 mm B 50-mm diameter 300 mm The compressive force induced in ABC is kN.

Draw a free body diagram too thank you

1. For the W 21x 62 steel beam below determine the actual value of om in the beam and the maximum value of the principal stress omax at the junction of the flange and the web. 20 kips 20 kips A B 10 ft 2 kips/ft 30 ft- C 10 ft D

Q.3) A simply supported wide-flange (see figure below) beam of span length L carries a vertical concentrated load P acting through the centroid C at the midpoint of the span. The beam is attached to supports inclined at an angle a to the horizontal. Determine the orientation of the neutral axis and calculate the maximum stresses at the outside corners of the cross section (points A, B, D, and E) due to applied load P. Data for the beam are as follows: W 10 x 30 section, L = 8.5 ft., P = 5 kips, and a = 26.57 degrees. 2. E α

A force P of magnitude 1,100 N is applied to the pedal shown satisfies a shearing stress in the pin is 42 MPa. a. Determine the reaction (in N) at the hinge at C. b. Determine the diameter of the pin at C in mm. c. Determine the corresponding bearing stress in the pedal at C in MPa. d. Determine the corresponding bearing stress in each support bracket at C in MPa. 9 mm H 11€ |||| 5 mm A 75 mm 125 mm B C 300 mm PI D

Q.2.

Required information Consider the beam and loading shown. If a=8 in, b=9.0 in, c=1 in. For a section at n-n, determine the shear stress at b. A 25 kips 20 in.- 10 in. 25 kips - 20 in.- B a +6 i in.. in. b b a с in.

The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. If a 20-kip load is applied, determine the vertical displacement in the bar at A and C that will cause a stress in the rod at C to be 50 ksi. Indicate the direction of movement. Use E = 29x106 psi for steel. A = 0.5 in.2 3 ft A B D 20 kips 2 ft2 ft- 4 ft 4 ft A =0.75 in.2

Determine the location of the shear center for the following section. Determine the shear stress at point A, if a 20 kN (downwards) shear load is applied at the shear center. Given: h1 = 25 mm h = 100 mm b = 50 mm Thickness = 4 mm. V ke- A |▬▬b▬|| h₁