The thin-walled cantilever box beam shown in Fig. P.14.10 carries a vertically downward load of 100 kN at its free end. Calculate the principal strains at the point A which lies at the edge of the top cover of the beam at the built-in end. Take E=200000 N/mm² and v=0.3. Ans. ɛ1=9.33×10¬ª, ɛ11=-2.87×10-4.

The thin-walled cantilever box beam shown in Fig. P.14.10 carries a vertically downward load of 100 kN at its free end. Calculate the principal strains at the point A which lies at the edge of the top cover of the beam at the built-in end. Take E=200000 N/mm² and v=0.3. Ans. ɛ1=9.33×10¬ª, ɛ11=-2.87×10-4.

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: The cast iron beam in the figure has an overhang of length b = 2 m at each end. The bending working…

A: Assumption: Material is isotropic, homogeneous, and elastic in which hooks law is valid. The plane…

Q: A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end…

A: Calculate the compressive stress in the copper tube in MPa.

Q: a vertical force of 60 KN acts on the cage system in the figure from point D. If the perpendicular…

A: Cross-sectional area of BC bar (A1) = 500 mm2 Cross-sectional area of other bars (A2) = 1000 mm2…

Q: 4. An assembly of three rods is shown in Fig. 4. The rods each have the same 25-mm diameter and…

A: free body diagram at joint A

Q: A SHORT compressive force as shown in Figure Q3a. (a) column with an I-section is subjected to an…

A: To find out the bending moment about x and y axis and also find out moment of inertia and stress.

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

Q: The stress on a structure is as follows. The EI of the ?-shaped part of the structural section is…

Q: 2.- The bar in the figure is loaded by the forces shown at B and C. Determine the reactions at A and…

Q: For a plane stress problem, the state of stress at a point P is represented by the stress element as…

A: Given data- Stresses are given- σx=80 MPa,σy=-20 MPa,τxy=-25 MPa, To Find- The angle of maximum…

Q: 1. Determine the deformation of the figure shown. Use E = 75 GPa. 30 mm 20 mm 30 kN 30 kN 400 mm

A: Given: Length of tapered Beam L= 400 mm Load acting on Beam P=30 KN Modulus of the elasticity E=75…

Q: used to support the wood de Set a = 1.5 and b =4.

A: Given:- a=1.5 b=4 To find:- magnitude loading in kN/m

Q: A steel column of length 4.75 m forms part of a support structure and is subjected to an axial…

A: i)Slenderness ratio λ: It is defined as the ratio between effective length minimum radius of…

Q: The shear force Ty acts on the section in the y direction. Calculate the shear force Tythat the…

Q: PROBLEM 2: The 2 meters long prismatic rod shown is pulled by force P and rigidly attached to rigid…

A: change in length is given byδL=σLE

Q: Which of the following most nearly gives the elastic deformation in the bronze rod? a. 0.58 mm b.…

Q: Solve problem 4.33.

A: Detailed step by step solution is given below, still if you have any query please feel free to…

Q: Problem 3. A 30-kg uniform plate is in equilibrium in the position shown, supported by a pin at O…

Q: 3. Determine the strain energy of the beam shown in the figure below. The cross-section of the beam…

Q: A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end…

Q: A 26-mm diameter by 3.5-m long steel rod (1) is stress free after being attached to rigid supports…

Q: Calculate the reactions at the supports B andC.

Q: Ex,: A weight Causes a static deflection of 8.= 0.060 in ist in on a beam with sf stiffiess k=…

A: Given,Static diflection Sstatic = 0.060 in Sstatic = 0.06 x 12 ft…

Q: $7. Beam AB supports two concentrated loads P and Q as shown in Figure 7.0. It has peen…

A: Solution Given Data σC=15 MPa=15 N/mm2σD=22 MPa=22 N/mm2

Q: Please show all of your work and do the calculations for the problem in the picture

Q: Figure P.15.19 shows a frame pinned to supports at A and B. The frame centreline is a circular arc…

A: Procedure: The given frame is fixed at C find the radius of curvature using the relation Then…

Q: X- 18 cm Mx y 10 cm 18 cm 3 cm 2 cm 16 cm 2 cm 2 cm 10 cm A bending moment of magnitude M₁ = (6+K)…

A: An I section type beam is given with bending moment = 23 Kn-mAssume the moment is sagging Hence…

Q: where, bf1= 260 bf2 = 120 tf = 25 tw = 16 d1 = 160 d2 = 110 1. Calculate the location of the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The following stress element represents the stress state at point A of the structure in the figure…

Q: 120 kN 96 KN (160+SN) KN 144 KN H 1.51 M 21 ST 1.51 21 D 1.51 21 N 31 T 1.51 1.51 21 21 B 1.51 E 21…

A: Assumptions of portal method; 1.The point of contraflexure is at the midpoint of all the members of…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

Q: 8. For the beam shown in Figure 3 (a) Determine the displacements and slopes at node 2; (b)…

Question

The thin-walled cantilever box beam shown in Fig. P.14.10 carries a vertically downward load of
100 kN at its free end. Calculate the principal strains at the point A which lies at the edge of the top
cover of the beam at the built-in end. Take E=200000 N/mm² and v=0.3.
Ans. ɛ1=9.33×10-4, ɛn=-2.87×10-4.

100 kN
A
10 mm
300 mm
12 mm
12 mm
10 mm
1.5 m
150 mm

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 : Diagram

VIEW

Step 2 : Direct stress due to bending stress

Step 3

Step 4

Step 5 : ANSWER

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 2 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

3
Answer proplem 1,3 and 1.4
A force of 521 kN is applied at joint B to a system of two-pinned joined bars shown in the figure. Determine the required cross-sectional area of the bar BC if the allowable stresses are 175 MPa in tension and 74 MPa in compression. 521 kN B 1.5 mt 1.5 m 3.0 m 3.0 m
In the Figure 5, the normal stress on the cross- sectional area is (in Mpa): Figure 5: у P = 400 KN X 30 mm 1000 mm 30° Area 20 mm الاختيارات 577 O 597 587 O 567
The stresses shown in the figure act at a point on the free surface of a machine component. If o = 22.4 ksi in the direction shown, determine the shear stress Txy at the point. Txy O 14.48 ksi 11.51 ksi O 13.53 ksi O 10.63 ksi O 8.84 ksi 5.0 ksi 24° 2.8 ksi
7) The load P is located midway between points B and C. P = 1.7 kN. The diameter of the rod at CE is 4.8 mm. The young's modulus of the rod metal = 200 GPa. What is the elongation of the rod CE? 600 mm IB 600 mm 600 mm Elongation of rod EC = units
For the beam with loading shown in Figure 4.0, a. Draw the shear and bending-moment diagrams for the beam AB b. Determine the maximum normal stress due to bending and shearing stress of the beams 45 kN · m 16 kN · m 250 mm A B. 75 mm 2.4 m -1.2 m
2. The bending moment acting on the triangular cross section of a beam is M = 3.6 kN m. Determine the maximum tensile and compressive bending stresses acting on the cross section. M 120 mm 60 mm-
29. Calculate the compressive stress in the steel core in MPa due to the force P. A. 25.1B. 28.3C. 22.4D. 21.8