Questions from Mechanics

Q: A W 10 × 60 wide-flange beam is subjected to

A W 10 × 60 wide-flange beam is subjected to a bending moment M of such magnitude that the flanges yield but the web remains linearly elastic. (a) Calculate the magnitude of the moment M if the yield...

Q: A singly symmetric beam with a T-section (see figure

A singly symmetric beam with a T-section (see figure) has cross-sectional dimensions b = 140 mm, a = 190.8mm, tw = 6.99 mm, and tf = 11.2mm. Calculate the plastic modulus Z and the shape factor f.

Q: A wide-flange beam with an unbalanced cross section has the

A wide-flange beam with an unbalanced cross section has the dimensions shown in the figure. Determine the plastic moment MP if σY = 36 ksi.

Q: Determine the plastic moment MP for a beam having the cross section

Determine the plastic moment MP for a beam having the cross section shown in the figure if σY = 210 MPa.

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 310 × 45 channel section to the shear center S (see figure). Note: For purposes of analysis, consider the flanges to be rect...

Q: The cross section of an unbalanced wide flange beam is shown in

The cross section of an unbalanced wide flange beam is shown in the figure. Derive the following formula for the distance h1 from the centerline of one flange to the shear center S: Also, check the fo...

Q: The cross section of an unbalanced wide flange beam is shown in

The cross section of an unbalanced wide flange beam is shown in the figure. Derive the following formula for the distance e from the centerline of the web to the shear center S: Also, check the formul...

Q: An element in plane stress on the fuselage of an airplane (

An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnit...

Q: The stresses acting on element B (see figure part a)

The stresses acting on element B (see figure part a) on the web of a wide-flange beam are found to be -14,500 psi in compression in the horizontal direction and -2530 psi in compression in the vertica...

Q: Dimensions of cross section: b = 120 mm, t =

Dimensions of cross section: b = 120 mm, t = 7mm, h = 350 mm, h1 = 330 mm, and V = 60 kN. Data for Problem 6: A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of...