STRUCTURAL ANAL.W/MOD MASTERING ACCE
STRUCTURAL ANAL.W/MOD MASTERING ACCE
18th Edition
ISBN: 9780134713649
Author: HIBBELER
Publisher: PEARSON
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Chapter 6, Problem 6.8P
To determine

(a)

The influence lines for the moment at B using the Muller-Breslau principle.

To determine

(b)

The influence lines for the shear at B.

To determine

(c)

The influence lines for the vertical reaction at A using Muller-Breslau principle.

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(5) The simply supported beam shown in figure supports uniformly distributed characteristicdead and imposed loads of 5 kNm-1 each, as well as a characteristic imposed point load of 30 kN at mid-span. Assuming the beam is fully laterally restrained and there is nominaltorsional restrain at supports, select a suitable UB section in S275 steel to satisfy bendingand shear considerations. Also, check the selected UB section against the deflection.           (40 Marks)
A simply supported beam is subjected to the end couples (bending is about the strong axis) and the axial load shown in the figure below. These moments and axial load are from service loads and consist of equal parts dead load and live load. Lateral support is provided only at the ends. Neglect the weight of the beam and investigate this member as a beam-column. Use Fy = 50 ksi. Suppose that P = 40 k and M = 68 ft-k. For W10 x 33: Ix = = 171 in.4; for L = 10 ft and C for Lc = 10 ft: = 1.0: фь Мп = 134 ft-kips and Mn/b = 89.3 ft-kips; Pn = 330 kips and Pr/c = 220 kips. W10 X 33 P M M 10' a. Use LRFD. Select the interaction formula: A) Pu 8 + Mur Muy + <1.0 Ферп 9 Фь Мих Pu Mux Muy B) + + 20c Pn Фь Мих ФоМпу .) <1.0 -Select- Compute the interaction formula. (Express your answer to three significant figures.) -Select- 1.0 This member is -Select- b. Use ASD. Select the interaction formula: Pa A) + Pn/Sc Max Mnx/b May + < 1.0 Mny 1/526 Pa Max May B) + + <1.0 2Pn/c Mnx/b Mny/b -Select- ✓…
5. Use the graph and data table below to determine: strain(in/in) 0 Stress (psi) 30,000 25,000 20,00 15,000 stress (psi) 0 2,500 0.00025 5,000 0.0005 7,500 0.00075 9,600 0.00096 11,170 0.001117 13,500 0.00135 10,000 16,612 0.001875 15,430 0.0025 5,000 22,350 0.00312 26,800 0.0042 25,810 0.00472 Stress Strain Curve ☑ 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0.0045 0.005 Strain (in/in) a) Proportional limits: (stress in units of psi, strain in units of in/in) b) Modulus of elasticity (units: ksi) c) Ultimate strength (units: psi) d) Rupture strength (units: psi)

Chapter 6 Solutions

STRUCTURAL ANAL.W/MOD MASTERING ACCE

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