The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has cross-sectional area A2= 1260 mm2 and length L2 = 250 mm. Loads PB and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and Rp at the fixed supports. (50 points) (b) Determine the compressive axial force FBC in the middle segment of the bar. (50 points) A1 A2 A1 PB PC A D В C L

The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has cross-sectional area A2= 1260 mm2 and length L2 = 250 mm. Loads PB and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and Rp at the fixed supports. (50 points) (b) Determine the compressive axial force FBC in the middle segment of the bar. (50 points) A1 A2 A1 PB PC A D В C L

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

A downward load of Q = 33 kN is applied to rigid bar ABD as shown in the sketch. Axial member CDE is subjected to a downward load of P = 27 kN at joint E plus a force at joint D from the rigid bar. The axial member has an elastic modulus of E = 69 GPa and a cross-sectional area of A1 = A2 = 145 mm2. Assume that a = 390 mm, b = 220 mm, c = 630 mm, and d = 490 mm. Determine the vertical displacement of joint E. Determine the internal force and the change in length of section (1) of axial member CDE. Tension and elongation are positive. Compression is negative.Answer:F1 = kNδ1 = mm
A downward load of Q = 33 kN is applied to rigid bar ABD as shown in the sketch. Axial member CDE is subjected to a downward load of P = 27 kN at joint E plus a force at joint D from the rigid bar. The axial member has an elastic modulus of E = 69 GPa and a cross-sectional area of A1 = A2 = 145 mm2. Assume that a = 390 mm, b = 220 mm, c = 630 mm, and d = 490 mm. Determine the vertical displacement of joint E. Draw a free body diagram of rigid bar ABD, and determine the magnitude of the vertical reaction force at pin D.Answer:D = kN
Set P1 = 28 kN , P2= 14 kN . (Figure 1) Part A Determine the force in member AD, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part B Determine the force in member BC, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part C Determine the force in member BD, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part D Determine the force in member CD, and state if the member is in tension or compression. Express your answer to…
Determine support reaction at B . Given P=100 Kn L=10 m
Set P1 = 35 kN and P2 = 12 kN . (Figure 1) Part A Determine the force in member AB, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part B Determine the force in member AE, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part C Determine the force in member AF, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part D Determine the force in member BC, and state if the member is in tension or compression. Express your answer…
Set P1 = 30 kN and P2 = 16 kN in Part A Determine the force in member AD, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. View Available Hint(s) FAD= SubmitPrevious Answers Incorrect; Try Again; 4 attempts remaining Part B Determine the force in member BC, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. View Available Hint(s) FBC = SubmitPrevious Answers Incorrect; Try Again; 5 attempts remaining Part C Determine the force in member BD, and state if the member is in tension or compression. Express your answer to three…
For the beam shown, determine the support reactions and draw the stress diagrams.shear and bending moment. EI is constant. Use the force method. I have a correct answer, it is: VA = 44.3 kN (↑); HA = 0 kN; MA = 34.3 kN.m (counterclockwise); VB = 38 kN (↑). I don't know how to get to this result, please show me how to get there step by step
The three-bar truss ABC shown in the figure has a span L = 3 m and is constructed of steel pipes having cross-sectional area A = 3900 mm^2 and modulus of elasticity E = 200 GPa. A load P acts horizontally to the right at joint C. 1. If P = 60 kN, what is the horizontal displacement of joint B? a. 1.99 mm b. 7.50 mm c. 5.21 mm d. 2.25 mm 2. What is the maximum permissible load P if the displacement of joint B is limited to 2.5 mm? a. 85.0 kN b. 75.4 kN c. 52.1 kN d. 12.5 kN
USING CONJUGATE BEAM METHOD Consider 150 mm x 200 mm (bxh) mm section and e = 80 GPa DETERMINE REACTION AT D Values: A = 9.4 M B = 5.5 kN/m C = 20 kN
(mechanıcs of materials) The beam whose loading condition is given in the figurea) Write the elastic curve equation.b) Calculate the collapse and rotation at C. Here q = 6 kN/m, M0 = 12 kNm, L = 2 m
(d) If the member BC is fabricated 10 mm too long, explain how you will determine the vertical displacement at joint C. For this case, assume that the two vertical loads and thermal load (due to temperature increase) are not present. (e) If all three loading cases (two vertical loads, thermal load and member BC too long) are present, how would you determine the vertical displacement at C.
From the given figure below and its properties, calculate the stress at the top where the maximum moment is located. (MPa) Properties: Beam width = 207 mmBeam height = 386 mmWLL = 12.48 kN/mWDL = 15.26 kN/mSpan of the beam = 8 mPrestressing force = 293 kNeccentricity = 135 mm