a) The truss structure in Figure Q4 is supported at A and D with downward vertical load F1 acting at joint E and a downward vertical load F2 acting at joint C. The length of each truss member AB, BE, BC, CD and CF is 1.25 m. If F1 = 95 kN and F2 = 225 kN, determine the reaction force RA and RD at the supports A and D. Give your answers in kilonewtons (kN) to two decimal places. F1 E F A F2 Figure Q4 b) For the truss structure in Figure Q4, determine the forces FAE, FAB and FCF acting in members AE, AB & CF and clearly state if each member is in compression or in tension. Give your answers in kilonewtons (kN) to two decimal places. c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (iii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.

a) The truss structure in Figure Q4 is supported at A and D with downward vertical load F1 acting at joint E and a downward vertical load F2 acting at joint C. The length of each truss member AB, BE, BC, CD and CF is 1.25 m. If F1 = 95 kN and F2 = 225 kN, determine the reaction force RA and RD at the supports A and D. Give your answers in kilonewtons (kN) to two decimal places. F1 E F A F2 Figure Q4 b) For the truss structure in Figure Q4, determine the forces FAE, FAB and FCF acting in members AE, AB & CF and clearly state if each member is in compression or in tension. Give your answers in kilonewtons (kN) to two decimal places. c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (iii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.

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: eflection i nat membe 1 frame me

Q: Problem (01): The pin-jointed truss in Figure (6) supports a load of P=2 kips at joint C. Determine…

A: Given P=2kips To find force in member 1 and 5

Q: Figure shows a statically determinate beam under distributed loading conditions where C is the…

Q: Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical…

Q: 1. For the truss shown in the figure, determine the forces acting on members AB, AC,BC,CE by method…

Q: The beam supports the triangular distributed load shown below with wmax = 910 lb/ft. The reactions…

Q: A horizontal force P=650 kN is acting at joint C. The length AB is 3 m and members AC and BC makes…

A: The horizontal displacement of joint depends on the initial horizontal speed and the time of…

Q: Consider the frame shown in (Figure 1). The members are fixed connected at the supports and joints.…

Q: Compound axial member ABC has a uniform diameter of d = 3.0 in. Segment (1) is an aluminum [E₁ =…

Q: The framework shown in Figure 1 is supported by an A-ball joint and an E-roller. Neglecting the…

Q: w2 w1 B Determine the shear force and bending moment in the beam. Use wl = 22 kN/m, w2 = 25 kN/m, a…

Q: Problem (9.2): The truss shown in Figure (9.25) is made of steel rods, each of which has a solid,…

A: The modulus of Elasticity in strain E=29×103ksi The shear stress,σy=36 ksi Cutting truss 1 - 1 and…

Q: The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end…

Q: F1 E F A D F2

Q: A member ABCD is subjected to point loads P1, P2, P3 and P4 as shownin figure. Calculate the force…

A: Given:- The magnitude of the force P1 = 45 kN The magnitude of the force P3 = 450 kN The magnitude…

Q: 6.2 Use the method of joints to calculate the force in each member of the loaded truss illustrated…

Q: The pin jointed plane frame shown in Figure Q2 has a pinned support at A and a roller support at B.…

A: Given structure:

Q: Determine the internal moments at B and C and the support reactions due to the loads and support…

A: Solve using slope deflection method: Fixed end moment: Span AB: MFAB=-wl212=-12×4212=-16…

Question

a) The truss structure in Figure Q4 is supported at A and D with downward vertical
load F1 acting at joint E and a downward vertical load F2 acting at joint C. The
length of each truss member AB, BE, BC, CD and CF is 1.25 m. If F1 = 95 kN and
F2 = 225 kN, determine the reaction force RA and RD at the supports A and D.
Give your answers in kilonewtons (kN) to two decimal places.
F1
E
A
В
F2
Figure Q4
b) For the truss structure in Figure Q4, determine the forces FAE, FAB and FCF acting in
members AE, AB & CF and clearly state if each member is in compression or in
tension. Give your answers in kilonewtons (kN) to two decimal places.
c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original
length of 1.75 m experiences a stress of 600 MPa when placed under tension. If
the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m²,
calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in
Joules; and (ii) the strain energy per unit volume (U/V) in Joules per cubic metre
(m³). Give your answers to two decimal places.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

Determine the support reactions and joint forces on the compound beam in the figure. There is a hinge at point B
Compound axial member ABC has a uniform diameter of d = 1.2 in. Segment (1) is an aluminum [E₁ = 10,000 ksi] alloy and segment (2) is a copper [E₂ = 17,000 ksi] alloy. The lengths of segments (1) and (2) are L₁ = 80 in. and L2 = 140 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.10 in. LI L2 A d Aluminum Copper Answer: P = i B kips
2. There is structure (see the figure below) under two external loadings: 20 N horizontal and 10 N vertical at D and E, respectively. The structure consists of 4 members, AB, CD, DE, and CE. The structure is supported by two grounded pins at C and A. The lengths are shown in the figure. The cross-section areas are l cm² everywhere in AB and 10 cm? everywhere in CE. Find the support reactions at C. Find the internal force(s) in AB. Find the normal stress in AB. Find the normal force in DE. 1) Find the normal stress at a-a in CE. Find the shear force and shear stress at a-a. 20 N 45° 1m 45° C E 30 В 10 N 0.5 m 0.25 m' 0.25 m
The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have a cross-sectional area A1=840mm2 and length Lt 200 mm. The middle segment has a 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 RB the fixed supports. b.Determine the compressive axial force Fscin the middle segment of the bar.
A roof truss is loaded and supported as shown in Figure 4. The joints are all pinned. Take P₁ = 19.1 kN and P₂ = 18 kN. Determine the force in each member of the truss shown in Figure 2(a). State whether each of these members is in tension or compression. Determine support reactions at A and E. (c) (20 marke) 30° 3 m B D 30% 3 m Figure 4 P₂
50 kN 30 kN 4 m 3 m t. In the truss shown , AE for all members is constant A = 200 mm2 , E = 200 GPa %3D If member BD is removed, which of the following most nearly gives the displacement (mm) of B relative to D
A P = 10 kip 1.5 ft B C 2 ft The bars in the structure to the left are pinned and have circular cross-sections. The diameter of the cross- section is 1.5 inches. The bars are made of steel, which has an elastic modulus of 29,000 ksi. A point force of 10 kips is applied at point C, as shown. What is the change in length of member BC? Is the bar getting longer or shorter?
Determine the bending moment (M) in kNm at the point x = 4.5 m from point A for the beam as loaded in Figure 3.2b6. Given a = 2, b = 5 and w4 = 6. Wą kN/m C В a m b m
For the plane trusses supported by the spring at node 1 in Figure P3-33 (a) and (b), determine the nodal displacements and the stresses in each element. Let E = 210 GPa and A = 5.0 x 10-4 m2 for both truss elements. 5 m 100 kN 10 m A- 2000 AN/m Figure P3-33(a) 100 kN 5m 5m 60 60 k= 4000 N/m Figure P3-33(b)
Solve B Please fast
Question 4(a) The uniform bar shown in Figure 4 weighs 428 N. It is supported by a pin at A and a cable that runs around the pulley, D. It is subjected to a uniformly distributed load of 17.7 N/m and 12.5 Nm clockwise moment at E. Beam is in equilibrium position as shown in the Figure. Take a = 0.41 m and b = 2.5 m. Determine the tension in the cable and the reaction force at A, both in Newtons. w N/m 75° A ▼▼ ▼ ▼ 12.5 Nm B E 1 m 0.5 m m b Figure 4 Question 4(b) Find a truss from your neighborhood where you can take a photo safely. It does not have to be taken from the perfect angle and as long as we can see the complete truss that is good enough. One photo would be ideal but upto 3 photos can be used. Include these photos in your solutions for this question and based on these photos draw this 2D truss (exact dimensions are not required) with the supports too. Comment on the possible loads and their locations that may be applied to the truss. Discuss the assumptions that you have to…
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 mm? and length L2 = 250 mm. Loads Pg and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and Rp at the fixed supports. (b) Determine the compressive axial force FBC in the middle segment of the bar. A1 - A2 A1 PB Pc A D B L -L1