Problem 2: A bronze bar is fastened between a steel bar and an aluminum bar as shown. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. P Steel 480 mm2 3P 1.0 m Bronze 650 mm² 4P 2.0 m Aluminum 320 mm² 1.5 m 2P

Problem 2: A bronze bar is fastened between a steel bar and an aluminum bar as shown. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. P Steel 480 mm2 3P 1.0 m Bronze 650 mm² 4P 2.0 m Aluminum 320 mm² 1.5 m 2P

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

Draw a typical stress-strain behaviour of steel subjected to tension. On the graph, show the modulus of elasticity, the yield strength, the ultimate stress and the rupture stress. (c) There are various types of steel. Identify SEVEN (7) characteristic of high carbon steel. (d)
1. Three metal strips, each 40 mm height, are bonded together to form the composite beam shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and 70 GPa for the aluminium. If the allowable bending stress for the aluminum (Gallow)al= 100 MPa, for the steel (Gallow)s=150 MPa and (Gallow)b= 200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. 2w Aluminum 2w 10 mm Brass 10 mm Steel 20 mm 2m - 40 mm
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 non-dimensional slenderness ratio of the steel cross-section is (a) 0.25 (c) 2.00 (b) 0.75 (d) 0.50
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown below. Axial loads are applied at the positions indicated. Find the maximum value of P in Newton that will not exceed a stress in steel of 150 MPa, in aluminum of 87 MPa, or in bronze of 97 MPa.
A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
Problem 1 An axial force of P is applied to the center of the rigid end plate shown below. If the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (a) determine the value of h, (b) the total load if the stress in the brass is 50 MPa. Brass core (E = 105 GPa) Aluminum plates (E = 70 GPa) Rigid end plate 300 mm 60 mim 40 mm
A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 70 GPa] bars, as shown. The beam is subjected to a bending moment of 400 N-m acting about the z axis. Using a = 15 mm, b = 100 mm, c = 30 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum y Brass Aluminum b Brass C a d
The solid rod has a diameter of 20mm. Find the following: Angle of twist at C with respect to A (in radians) Angle of twist at B with respect to A (in radians) Maximum shear stress at A (in MPa) (Shear stress at support, at a point 7mm from center. (in MPa) A-36 steel with the following properties: Modulus of Elasticity, E = 29x10^3 ksi or 200 GPa Shear Modulus/Modulus of Rigidity, G = 11.5x10^3 ksi or 79.3 GPa Poisson's Ratio, nu = 0.260 Temperature Coefficient for thermal expansion, a = 6.6x10^-6/°F or 11.7x10^-6/°C
The state of plane stress shown occurs at a critical point of a steel machine component. As a result of several tensile tests, it has been found that the tensile yield strength is o, = 250 MPa for the grade of steel used. Determine the factor of safety with respect to yield using (a) the maximum shearing stress criterion, and (b) the maximum distortion energy criterion. ↑y 40 40 MPa 80 MPa 25 MPa ➜X
When designing a structural member, which of the following statements is FALSE? A. The allowable stress is used in calculating the maximum load to be applied. B. The ultimate stress depends on the Factor of Safety used. C. The ultimate stress is determined based on the material used. D. The allowable stress depends on how conservative the design is. Which of the following is NOT a valid reason for increasing the Factor of Safety? A. Higher uncertainty in loading conditions B. Higher design life C. Lower confidence in assumed/stated material properties D. Lower member importance Consider a 1,000-mm long, 25-mm diameter sample subjected to a tension test. Automatic high-precision gages recorded that for an applied load of 150 kN, the sample experienced a longitudinal strain of 2×10−3mm/mm. Assuming that the material remained elastic while loaded, determine its modulus of elasticity. A. 175.0 GPa B. 63.7 GPa C. 152.8 GPa D. 72.9 GPa