Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 4, Problem 4.7.8P
The frame shown in Figure P4.7-8 is unbraced, and bending is about the x-axis of the members. All beams are
a. Determine the effective length factor
b. Determine the effective length factor
c. If
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The bars AB, AC, and AD are pinned together as shown in the figure. Horizontal movement of the pin at A is prevented by the rigid horizontal strut AE. Calculate the axial force in the strut caused by the 10-kip load. For each steel bar, A = 0.3 in.2 and E = 29 x 106 psi. For the aluminum bar, A = 0.6 in.2 and E = 10 x 106 psi.
Two members AB and AC are made of material with E= 91 Gpa and each member has cross sectional area of A= 290 mm2. The members are used to support bar BC. If P=2079 N, L1= 202 mm , L2= 313 mm and L3= 480 mm . Answer the following questions.
The tension in member AB
The tension in member CD
The elongation in member AB
The elongation in member CD
Vertical displacement of point E
04. The bars AB, AC, and AD are pinned
together as shown in the figure. Horizontal
movement of the pin at A is prevented
by the rigid horizontal strut AE. Calculate
the axial force in the strut caused by the
10-kip load. For each steel bar, A = 0.3 in.²
and E = 29 x 106 psi. For the aluminum bar,
A = 0.6 in.? and E = 10 x 106 psi.
B
C
D
Aluminum
Steel
Steel
40°20°
10 ft
Rigid
E
A
10 kips
Chapter 4 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
Ch. 4 - Prob. 4.3.1PCh. 4 - Prob. 4.3.2PCh. 4 - Prob. 4.3.3PCh. 4 - Prob. 4.3.4PCh. 4 - Prob. 4.3.5PCh. 4 - Prob. 4.3.6PCh. 4 - Prob. 4.3.7PCh. 4 - Prob. 4.3.8PCh. 4 - Prob. 4.4.1PCh. 4 - Prob. 4.4.2P
Ch. 4 - Prob. 4.6.1PCh. 4 - Prob. 4.6.2PCh. 4 - Prob. 4.6.3PCh. 4 - Prob. 4.6.4PCh. 4 - Prob. 4.6.5PCh. 4 - Prob. 4.6.6PCh. 4 - Prob. 4.6.7PCh. 4 - Prob. 4.6.8PCh. 4 - Prob. 4.6.9PCh. 4 - Prob. 4.7.1PCh. 4 - Prob. 4.7.2PCh. 4 - Prob. 4.7.3PCh. 4 - Use A992 steel and select a W14 shape for an...Ch. 4 - Prob. 4.7.5PCh. 4 - Prob. 4.7.6PCh. 4 - Prob. 4.7.7PCh. 4 - The frame shown in Figure P4.7-8 is unbraced, and...Ch. 4 - Prob. 4.7.9PCh. 4 - Prob. 4.7.10PCh. 4 - Prob. 4.7.11PCh. 4 - Prob. 4.7.12PCh. 4 - Prob. 4.7.13PCh. 4 - Prob. 4.7.14PCh. 4 - Prob. 4.8.1PCh. 4 - Prob. 4.8.2PCh. 4 - Prob. 4.8.3PCh. 4 - Prob. 4.8.4PCh. 4 - Prob. 4.9.1PCh. 4 - Prob. 4.9.2PCh. 4 - Prob. 4.9.3PCh. 4 - Prob. 4.9.4PCh. 4 - Prob. 4.9.5PCh. 4 - Prob. 4.9.6PCh. 4 - Prob. 4.9.7PCh. 4 - Prob. 4.9.8PCh. 4 - Prob. 4.9.9PCh. 4 - Prob. 4.9.10PCh. 4 - Prob. 4.9.11PCh. 4 - Prob. 4.9.12P
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- A truss is subjected to loads as shown. Assume AE is constant and use virtual work method for deflection of truss. 4m 120 KN B A TINT 3m EA = constant E = 200 G Pa 2 A = 1,500 mm Find the vertical deflection at B in mmarrow_forwardDetermine the force in members FG, BF, and CE of the truss shown in the figure below. Let P = 29 kN. NOTE: If your answer is a compressive force then just put a negative sign. If your answer is a tensile force then just type the answer directly. (ALSO, DON'T FORGET THE UNITS) 2P 2P 30° 600 60° 60 60° 30 B. 3P 4m 4m 4m Solve the force in member FG. Solve the force in member BF. Solve the force in member CE. Q =' 21 IIarrow_forwardMember AC of the following truss is subjected to a temperature change of +110 °C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as A√2; the cross section area of AB as 5.0A. 1.732 m 1 m Part 1. The displacements at joint A: a) A₂ = b) Ay = mm mm Part 2. The force in each member: a) NAB = b) NAC = c) NAD kN kN kN Aarrow_forward
- The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 512 mm2; link CE is made of steel (E = 200 GPa) and has a cross-sectional area of 643 mm2. For the 32 kN force shown, determine the deflection of D (mm) *Note: Negative if compression and positive if tension. Also, the final answer should have two decimal places.arrow_forwardThe cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; / = 1930 in.41. For the loading shown, determine: (a) the beam deflection at point A (b) the beam deflection at point B. Assume MA = 250 kip-ft, P = 29 kips, LAB = 4.9 ft, LBc = 7.4 ft.arrow_forwardThe cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; /= 1780 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 170 kip-ft, P = 29 kips, LAB = 5.7 ft, LBC = 8.6 ft. MA LAB P B LBCarrow_forward
- USING THE CONJUGATE BEAM METHOD ps. The 2nd pic is the answer key.arrow_forwardThe space truss shown below is made of steel (E = 30×10 psi). The cross- sectional area of each member is 2.0 in² find the maximum deflection, the maximum and minimum stresses and forces in the truss, and the reaction forces at supports. Verify your results. If the second moment of π᾽ΕΙ inertia I = 0.9 in, do you think that buckling will occur? (Per hind: apply constraints at Joint A, B, and C. Coordinate of joints are G (0,0,144) in, A(24,-36,0) in, B(24,36,0) in, C(-48,36,0) in. (units: use lb, in) 1² X {-500k) Ib (200) Ib E с 6 ft 6 ft 4 ft ·),arrow_forwardof A square plate (a x a) is a fixed supported on all four edges and carries a uniform load a (per nit area). The equation for deflection is: V"w=q/D where D is flexural rigidity. Take a h=Ax = Ay =-. Find the deflection at internal nodes. %3D 4arrow_forward
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