A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPa

A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPa

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

! Required information A steel bar (Es= 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown. 8 mm 8 mm 8 mm Aluminum 24 mm -Steel Determine the maximum stress in steel when the bar is bent about a horizontal axis, with M= 56 N.m. The maximum stress in steel is - MPa.
The composite bar shown is firmly attached to unyielding supports. An axial load P= 200 kN is applied at 20°C. Assume a = 11.7 um/(m °C) for steel and 23.0 um'(m °C) for aluminum. Find the reaction at the left support. a. find the reaction at the left supportb.find the stress at the steelc. find the stress at the aluminum
The critical bending compressive stress in the extreme fibre of a structural steel section is 1000 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm and thickness of flange is 15 mm. As per the provisions of IS: 800-2007, the nondimensional slendeness ratio of the steel crosssection is
CN=44
An aluminum alloy [E = 72 GPa; v = 0.33; a= 23.0 x 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 245 mm, a cross-sectional area of A = 5500 mm², and a length of L = 6.0 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by AT = 69°C, the longitudinal normal strain in the plate is found to be 3340 μc. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L P Answer: (a) P = i (b) Δd = i KN mm
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Find the maximum value of P in kN that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100 MPa
An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m 10KN 0.8m 0.4m 5KN 0.6m What is the deformation 8Rc in mm? Al 20KN A=800 mm? A=1,200 mm²
Calculate the stress and strain at each force interval. Plot a graph of the stress-strain curve. Estimate the yield point of the steel and note its location on the curve. Estimate the ultimate strength of the steel and note its location on the curve.
A small aluminum alloy [E = 74 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 130 mm. The cross- sectional dimensions of the tee shape are b = 25 mm, d = 38 mm, and t = 9 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 µɛ is measured from a strain gage located at c = 5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P Strain gage- d В D E 2 H Answer: P= i N
A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 220 mm. The cross-sectional dimensions of the tee shape are b = 18 mm, d = 27 mm, and t = 6 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 430 με is measured from a strain gage located at c = 6 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P
A certain steel has proportionality limit of 300 N/mm² in simple tension. Under a Three Dimensional Stress System, the principal stresses are 150 N/mm² (Tensile), 75 N/mm² (Tensile) and 30 N/mm² (Compressive), μ = 0.3. The factor of safety according to maximum shear stress theory would be
The composite bar shown is fixed at the ends and is subjected to the axial load P shown. If the aluminum is stressed to 10 ksi, find the force P and the stress in the steel. 10in. 15in. Aluminum Steel A=1.5 in? E=10x10°psi A=2.0 in? 6 E=30x10°psi 6