Two steel plates, each 3.50 in. wide and 0.75 in. thick, reinforce a wood beam that is 3.5 in. wide and 7.25 in. deep. Assume b1 = 3.5 in., d = 7.25 in., d2= 3.50 in. and t = 0.75 in. The steel plates are attached to the vertical sides of the wood beam in a position such that the composite shape is symmetric about the z axis, as shown in the sketch of the beam cross section. Determine the maximum bending stresses produced in both the wood and the steel if a bending moment of M, 51 kip-in. is applied about the z axis. Assume that Ewood = 1,600 ksi and Esteel = 29,500 ksi. d2 Thickness t b1 Answers: Owood = i ksi Osteel = ksi

Two steel plates, each 3.50 in. wide and 0.75 in. thick, reinforce a wood beam that is 3.5 in. wide and 7.25 in. deep. Assume b1 = 3.5 in., d = 7.25 in., d2= 3.50 in. and t = 0.75 in. The steel plates are attached to the vertical sides of the wood beam in a position such that the composite shape is symmetric about the z axis, as shown in the sketch of the beam cross section. Determine the maximum bending stresses produced in both the wood and the steel if a bending moment of M, 51 kip-in. is applied about the z axis. Assume that Ewood = 1,600 ksi and Esteel = 29,500 ksi. d2 Thickness t b1 Answers: Owood = i ksi Osteel = ksi

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Determine the moment of inertia of the composite section with respect to centroidal axis Xo. 2.40m 0.30m 0.20m Xo 2.40m 0.20m 0.40m 0.20m 0.40m 0.20m
Calculate the coordinates of the centroid, X'c and Y'c, for the composite section in figure, with respect to the x'Oy' coordinate system.
Find the centroid of the composite shape below. Then, find the lx, ly, rx, ry, and J for the shape about its own center. 12" X- 24" 12 in. radius X
A composite beam made of steel and bronze has the cross section shown. The cross-sectional dimensions are b1 = 0.5 in, b2 = 1.5 in., and d = 1.0 in. The elastic modulus of the steel is E1 = 30,000 ksi, and its allowable bending stress is 24 ksi. The elastic modulus of the bronze is E, = 15,000 ksi, and its allowable bending stress is 16 ksi. Calculate the magnitude of the allowable bending moment that can be applied about the z centroidal axis. y Bronze (2) Steel (1) bị b2 Answer: M = i Ib-in. Save for Later Attempts: 0 of 1 used Submit Answer
a) Find the centroid C (x,y) of the composite area b) Place a new coordinate system X-Y at the centroid C. Determine the area moment of inertia for the composite shape, Ix about the centroidal x-axis
The composite bar in the figure is firmly attached to unyielding supports. Compute the stress steel (psi) caused by the application of the axial load P = 59 kips L1 = 16in; L2 = 10in
For a composite section attached, derive the equation for Y-bar assuming that the PNA is located in the flange of the steel beam. Hint: Balance the resultant forces through the section. Recall that Y-bar is the distance from the top of the steel flange to the PNA for any location with the PNA below the top of the steel flange.
Determine the location of the centroid of the symmetrical composite section, as shown in the following figure. 150 mm 15 mm 150 mm 50 mm @ 15 mm C 3
Define: As = area of the steel reinforcement in tension side fs = tensile strength in reinforcement at service load, MPa
(a) Draw the shear and bending-moment diagrams for the beam and loading shown below. 48 kips 48 kips 48 kips B A E -6 ft- 2 ft' 2 ft 2 ft (b)If the cross-section of the beam is as shown below, determine the maximum tensile and compressive stresses. 8 in. 1 in. 1 in.- 6 in. 1 in. 4 in.
use Philippines NSCP 2015 for reference