(a) Figure Q2 shows a steel bar held between two rigid supports. The bar hasa cross sectional area of 0.25 m? and is 6.0 m in length. The structure isstress free before a force P = 3×106 N is applied at the point shown. Steel hasa Young's modulus E = 210 GPa and its coefficient of thermal expansion isequal to a = 12 ×10-6 K-1.(i) What is the stress in the bar to the left of the applied load?(ii) What change in temperature would cause the stress on the right of theapplied load to go to zero?4.0 m2.0 mPFigure Q2 -Constrained metal bar.

Given: A=0.25 m2P=3×106 NE=210 GPaα=12×10-6 K-1

Answered: (a) Figure Q2 shows a steel bar held…

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

The rigid bar ABC as shown in the figure is pinned supported at B and attached to the vertical two rods. Initially, the bar is horizontal and the vertical rods are stress- free. The temperature in the steel rod is decreased by 42°C. Neglect the weight of the bar Steel L = 900 mm A = 300 mm² E = 200 GPa a = 11.7 x 10-6/°C AT = -42°C 1m 3 m Aluminum L = 1320 mm A = 1200 mm² E = 70 GPa a = 23 x 10-6/⁰C Determine the deformation at steel if we will consider only the effect of change in temperature.
A rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stress of 150 MPa in steel rod and 70 MPa in bronze rod. 2 m -1.5 m |+1.5 m→ 10 Bronze A = 300 mm2 E = 83 GPa Steel A = 900 mm2 E = 200 GPa L=2 m L= 1.5 m
3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 m
2. A rigid bar of negligible weight is supported as shown. If W = 80 kN, compute the temperature change that will cause the stress in the steel rod to be 55 MPa. Assume the coefficients of linear expansion are 11.7 µm/(m. °C) for steel and 18.9 um/ (m.°C) for bronze. DIN Steel L = 1.5 m A = 320 mm² 1m E= 200 GPa 2.5 m Bronze L = 3m A = 1300 mm² E = 83 GPa W 1.5 m
An aluminium rod is rigidly attached between a steel rod and a bronze rod as shown in Figure 3. Axial loads are applied at the positions indicated. (a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminium of 90 MPa, or in bronze of 100 MPa. (b) Using the answer from question (a), determine the total elongation of the rods. Steel Aluminium A = 500 mm? Bronze A = 400 mm? E = 200 GPa A = 200 mm? F = 70 GPa E = 83 GPa 4P 2P 2.5 m 2.0 m 1.5 m Figure 3
2. Solve for the deformation of the aluminum rod. 200 mm 300 mm 600 kN Aluminum E= 70 GPa A= 900 mm Steel E= 200 GPa A=1200 mm
A steel rod having a cross-sectional area of 0.002 sq. m. and length of 1.5 m. is attached to unyielding supports. If the temperature falls 60 degrees Celsius, the modulus of elasticity of steel is 200 x 109 N/m2, and the coefficient of linear expansion is 11.5 x 10–6 per degree Celsius, finda. the deformation due to the temperature drop in mm, andb. the force exerted by the rods on the supports in kN..
Strain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)
The rigid bar AC is pinned at A and attached to bars DB and CE as shown in the figure. The weight of AC is 50 kN and the weights of the other two bars are negligible. Consider the temperature of both bars DB and CE to be raised 35°C. Find the resulting normal stresses in these two bars. DB is copper for which E = 90 GPa, a = 18 × 10-6/0C, and the cross-sectional area is 1000 mm?, while CE is steel for %3D = 12 x 10-6/°C, and the cross which E = 200 GPa, a section is 500 mm?. Neglect any possibility of lateral buckling of the bars. %3D D E I m B
Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.52 in.? and an elastic modulus of 2000 ksi. Bar (2) has a cross-sectional area of 0.708 in.? and an elastic modulus of 4130 ksi. Assume Ly=19 in., L2-31 in., Q=6.1 kips, P=2.1 kips, and R=10.3 kips. Determine the horizontal deflection of end C relative to end A. R (1) (2) B L1 L2 Answer: UCA = in.
A thin high-strength steel plate having a thickness of 40 mm has a height of 120 mm and length of 350 mm, is subjected to a moment at both ends = 66 kN.m. E= 28000 MPa Determine the bending stress of the steel plate in MPa Choose This is a required question Determine its radius of curvature in mm. Choose This is a required question *
Question # 4: Determine the state of stress at point A on the cross section of the beam at section a-a. Show the results in a differential element at the point. a a 0.5m 0.5m 30 kN 2 m 100mm 50mm A 10mm 10mm 180mm Section a-a 10mm

SEE MORE QUESTIONS

Recommended textbooks for you

Structural Analysis

Civil Engineering

ISBN:

9781337630931

Author:

KASSIMALI, Aslam.

Publisher:

Cengage,

Structural Analysis (10th Edition)

Civil Engineering

ISBN:

9780134610672

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Principles of Foundation Engineering (MindTap Cou…

Civil Engineering

ISBN:

9781337705028

Author:

Braja M. Das, Nagaratnam Sivakugan

Publisher:

Cengage Learning

Structural Analysis

Civil Engineering

ISBN:

9781337630931

Author:

KASSIMALI, Aslam.

Publisher:

Cengage,

Structural Analysis (10th Edition)

Civil Engineering

ISBN:

9780134610672

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Principles of Foundation Engineering (MindTap Cou…

Civil Engineering

ISBN:

9781337705028

Author:

Braja M. Das, Nagaratnam Sivakugan

Publisher:

Cengage Learning

Fundamentals of Structural Analysis

Civil Engineering

ISBN:

9780073398006

Author:

Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning

Publisher:

McGraw-Hill Education

Sustainable Energy

Civil Engineering

ISBN:

9781337551663

Author:

DUNLAP, Richard A.

Publisher:

Cengage,

Traffic and Highway Engineering

Civil Engineering

ISBN:

9781305156241

Author:

Garber, Nicholas J.

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS