Explanation Given information: Magnitude of the uniformly distributed load is w = 500 lb/ft . Magnitude of Force applied at E is W = 15 kip . Magnitude of Force applied at F is M F = 8 kip-ft . Divide the system into two parts A B and C D . Free body diagram of the beam is For the beam A B to be in equilibrium, ∑ F y = 0 R A − W + R B = 0 R A + R B = W R A + R B = 15 kip .................. 1 For the beam to be in equilibrium, ∑ M A = 0 W × l A E + M F − R B × l A B = 0 15 kip × 3 ft + 8 kip-ft = R B × 9 ft R B = 53kip-ft 9 ft R B = 5 .89 kip .......................... 2 From (1) and (2), R A + 5.89 kip = 15 kip R A = 9.11 kip For the beam C D to be in equilibrium. ∑ F y = 0 − R B − w × l C D + R D = 0 R D = w × l C D + R B R D = 500 lb/ft × 10 − 3 kip lb × 12 ft + 5.89 kip R D = 11.89 kip .................. 3 For the beam to be in equilibrium, ∑ M D = 0 − R B × l C D − w × l C D × l C D 2 + M D = 0 M D = R B × l C D + w × l C D × l C D 2 M D = 5.89 kip × 12 ft + 500 lb/ft × 10 − 3 kip lb × 12 ft × 12 ft 2 M D = 106.68 kip-ft .......................... 4 Calculation: Shear force at the section A is given by V A = R A = 9.11 kip Shear force at section E left of the applied load. V E = R A = 9.11 kip Shear force at section E right of the applied load. V E = R A − W = 9.11 kip − 15 kip = − 5.89 kip Shear force at section B left of UDL. V B = R A − W = 9.11 kip − 15 kip = − 5.89 kip Shear force at section C right of UDL. V C = R A − W − w × x − 9 ft = 9.11 kip − 15 kip − 500 lb/ft × 10 − 3 kip lb × 9 − 9 ft = − 5

15th Edition

ISBN: 9780134780955

Author: HIBBELER

Publisher: RENT PEARS

See similar textbooks

Question

Chapter 7, Problem 58P

To determine

The shear force diagram and bending moment diagram.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 7, Problem 57P

Chapter 7, Problem 59P

Students have asked these similar questions

Derive the equation below ah ap ax 12μ ax, +( ah ap ay 12μ ay Where P P (x, y) is the oil film pressure. 1..ah 2 ax

Can you determine the eignevalues by hand?

Monthly exam 13 2021-2022 Power plant Time: 1.5 Hrs Q1. A The gas-turbine cycle shown in Fig. is used as an automotive engine. In the first turbine, the gas expands to pressure Ps, just low enough for this turbine to drive the compressor. The gas is then expanded through the second turbine connected to the drive wheels. The data for the engine are shown in the figure, and assume that all processes are ideal. Determine the intermediate pressure Ps, the net specific work output of the engine, and the mass flow rate through the engine. Find also the air temperature entering the burner T3 and the thermal efficiency of the engine. Exhaust Air intake Φ www Regenerator www Bumer Compressor Turbine Power turbine et 150 kW Wompressor P₁ = 100 kPa T₁ = 300 K PP₁ =60 P-100 kPa T₁ = 1600 K Q2. On the basis of a cold air-standard analysis, show that the thermal efficiency of an ideal regenerative gas turbine can be expressed as 77 = 1- where - () () гp is the compressor pressure ratio, and T₁ and…

Chapter 7 Solutions

ENGR.MECH.:STAT.+DYNAMICS

Knowledge Booster