We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings,member AB is also subjected to temperature effects. The cross-sectional depth of member AB ish = 12 in, and the thermal coefficient is aT= 5:10-6 /° F. We are also given that the effect of axialforces on the deformations can be NEGLECTED.1 kip/ft5 kip BV VVvvvwwWEI = 8:105 kip-ft2EI = 106 kip-ft220 ftFigure 2a) Establish a primary structureb) Establish the compatibility equation from which you will obtain the redundant forcec) Determine the support reactions of the structured) Determine the internal loading diagrams of the structuree) Determine the support reactions IF THE STRUCTURE IS ONLY SUBJECTED TO THETEMPERATURE EFFECTS (and not the loads)AT: = 5 °FÅT;= -5 °Fi

Now we solve using slope deflection method Slope deflection equation mab=m¯ab+2EIL(θa+2θb+3∆L) For…

We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings, member AB is also subjected to temperature effects. The cross-sectional depth of member AB is h = 12 in, and the thermal coefficient is aT= 5:10-6 / ° F. We are also given that the effect of axial forces on the deformations can be NEGLECTED.

We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings, member AB is also subjected to temperature effects. The cross-sectional depth of member AB is h = 12 in, and the thermal coefficient is aT= 5:10-6 / ° F. We are also given that the effect of axial forces on the deformations can be NEGLECTED.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area…

A: Given: The cross-sectional area of bar 1 is 1.52 in2. The elastic modulus of bar 1 is 2000 ksi. The…

Q: A plate in equilibrium is subjected to uniform stresses along its edges with magnitude o = 30 MPa…

Q: The maximum principal stress for the stress state shown in the figure is O O

A: Given:tensile stress in x-direction=σtensile stress in y-direction=σshear stress=τxy

Q: I Hinge it 大 2L 3.

Q: Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area…

Q: The stresses acting on element A on the web of a train rail (see part (a) of the figure) are found…

Q: The degree of static indeterminacy (D,) degree of indeterminacy (D) for the plane frame and the…

Q: In a laminar boundary layer over a flat plate the ratio of shear stresses T, and T2 at two T₂…

A: Given data- Laminar boundary layer over a flat plate- Distances from the leading edge- x2 & 3x1,…

Q: The initially square element of a material is deformed as shown. Determine the shear strain of the…

A: Answer:Shear strain:ϕ=tan-12.015/21.997/2=tan-12.0151.997ϕ=tan-12.0151.997ϕ=45.2570°ϕ=0.789885…

Q: In a laboratory test of a beam loaded by end couples, the fiber at layer AB as shown are found to…

A: Given: δAB= 20 *10-3mm, δCD= 60 *10-3mm, E = 150 GPa, a = 60mmm, b= 120mm, c = 80mm

Q: The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that…

A: Given:- Allowable stress in steel=182 MPaAllowable stress in bronze=60 MPaD=0 To find:- Largest…

Q: A plane element is subjected to the stresses as shown in Fig. Determine (a) the principal stresses…

Q: The initially square element of a material is deformed as shown. Determine the shear strain of the…

A: To find shear strain of element To find normal strain along AC,BD

Q: An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall in.…

A: Given data- An aluminium tube with hexagonal cross section Length (L) = 2.5 ft Constant Wall…

Q: Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area…

Q: The state of stress at a given point in a material component is = 120 MPa ; Oy ox = -80 MPa and t =…

Q: Determine the state of stress on the The state of stress at a critical section is shown in Fig.…

A: Given : This is a problem of solid mechanics where we have to find the state of stress on the…

Q: Two links, made up of aluminum and steel, are connected by a hinge joint and an axial load P = 1000N…

Q: A bar having a cross-sectional area of 700 mm? is subjected to axial loads at the positions…

Q: An element in uniaxial stress is subjected to a tensile stress of 49 MPa in the x – direction.…

A: Given: The stress in the x-direction is 49 MPa. The angle of orientation is -27o.

Q: Part B - The internal reaction at B Assume that the axial member is in equilibrium and the applied…

A: F3=3kN F4=2 kN

Q: The state of stress at a point is shown with respect to xy-plane. The state of stress at a point is…

Q: A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines…

A: The objective of the question is to calculate the normal strains (ex, ey) and the shearing strain…

Q: For the structure shown in the figure, all of I, E and L are of respective unit values. The…

Q: Determine the reactions for the following structure by using Method of Consistent Deformation.…

A: Given data in question Propped cantilever with overhang Span member length Point load Stiffness…

Question

We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings,
member AB is also subjected to temperature effects. The cross-sectional depth of member AB is
h = 12 in, and the thermal coefficient is aT= 5:10-6 /° F. We are also given that the effect of axial
forces on the deformations can be NEGLECTED.
1 kip/ft
5 kip BV VVvvvwwW
EI = 8:105 kip-ft2
EI = 106 kip-ft2
20 ft
Figure 2
a) Establish a primary structure
b) Establish the compatibility equation from which you will obtain the redundant force
c) Determine the support reactions of the structure
d) Determine the internal loading diagrams of the structure
e) Determine the support reactions IF THE STRUCTURE IS ONLY SUBJECTED TO THE
TEMPERATURE EFFECTS (and not the loads)
AT: = 5 °F
ÅT;= -5 °Fi

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The state of stress at a critical section is shown in Fig. Determine the state of stress on the element inclined at an angle of 30° clockwise from the x-axis. Represent these stresses on the element. 50 MPa - 100 MPa 25 MPa
Plz solved it
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.
Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]with a cross-sectional area of A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A, = 0.400 in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in.,b = 15.75 in., and c = 20.00 in. For an applied load of P = 8 kips, determine: (a) the normal stresses in links (1) and (2). (b) the deflection of end D of the rigid bar. D P L1 |C (1) L2 b B a A X,u
The initially square element of a material is deformed as shown. Determine the shear strain of the element in radian and the normal strains in mm/mm of the diagonals AC and BD. B Undeformed Deformed C 1.997 mm D 2.003 mm 2.015 mm
9. The initially square element of a material is deformed as shown. Determine the shear strain of the element and the normal strains of the diagonals AC and BD. Undeformed Deformed A B D 2.0 mm 2.015 mm C 1.995 mm
A mild steel bar, 1.5 m long, has a square section 40 mm x 40 mm. The bar is subjected to a two- dimensional stress, o =310 N/mm2 (tensile) and Oy=300 N/mm² (compressive). E=2x105 N/mm², Poisson's ratio μ-0.3. The elongation of the bar is the direction of a will be
A plane element is subjected to the stresses as shown in Fig. Determine (a) the principal stresses and their directions and (b) the maximum shearing stresses and the directions of the planes on which they occur. 70 MPa 35 MPa 40 MPa
thanks
3. 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, ? = 18 × 10–6 /°C, and the crosssectional area is 1000 mm2 , while CE is steel for which E = 200 GPa, ? = 12 × 10–6 /°C, and the cross section is 500 mm2 . Neglect any possibility of lateral buckling of the bars.
The equation of deformation is derived to be y = x³ - xL for a beam shown in the figure. YA The curvature of the beam at the mid-span
6. Due to a loading, the plate is deformed into the dashed shape shown in the figure below. Determine (a) the average normal strain along the side AB, and (b) the average shear strain in the plate at A relative to the x and y axes. 0.13 in В 0.09 in 10 in A 12 in C