Questions from Mechanics

Q: Repeat Problem 1 but now assume that the steel plate is smaller

Repeat Problem 1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned with the top of the beam as shown in the figure. Data from Problem 1: A composite beam...

Q: Repeat Problem 6.2-17 but now use a transformed

Repeat Problem 6.2-17 but now use a transformed-section approach. Data from Problem 6.2-17: Repeat Problem 1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is alig...

Q: A beam with a rectangular cross section supports an inclined load P

A beam with a rectangular cross section supports an inclined load P having its line of action along a diagonal of the cross section (see figure). Show that the neutral axis lies along the other diagon...

Q: A beam with a channel section is subjected to a bending moment

A beam with a channel section is subjected to a bending moment M having its vector at an angle θ to the z axis (see figure). Determine the orientation of the neutral axis and calculate th...

Q: A simple beam with a W 10 × 30 wide-flange

A simple beam with a W 10 × 30 wide-flange cross section supports a uniform load of intensity q = 3.0 kips/ft on a span of length L = 12 ft (see figure). The dimensions of the cross secti...

Q: Calculate the distance e from the centerline of the web of a

Calculate the distance e from the centerline of the web of a C 15 × 40 channel section to the shear center S (see figure). Note: For purposes of analysis, consider the flanges to be recta...

Q: The beams shown in the figure are subjected to bending moments M

The beams shown in the figure are subjected to bending moments M = 250 Nm? Each beam has a rectangular cross section with height h = 44 mm and width b = 10 mm (perpendicular to the plane of the figure...

Q: Dimensions of cross section: b = 220 mm, t =

Dimensions of cross section: b = 220 mm, t = 12 mm, h = 600 mm, h1 = 570 mm, and V = 200 kN. Data for Problem 4: A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions...

Q: Determine the shape factor f for a cross section in the shape

Determine the shape factor f for a cross section in the shape of a double trapezoid having the dimensions shown in the figure. Also, check your result for the special cases of a rhombus (b1 = 0) and a...

Q: (a) Determine the shape factor f for a hollow circular

(a) Determine the shape factor f for a hollow circular cross section having inner radius r1 and outer radius r2 (see figure). (b) If the section is very thin, what is the shape factor?