CVEV 051_Quiz 1_Spring 2000-2001

Mounir Mabsout

QUIZ 1

Spring 2000-2001

(Monday, April 9, 2001)

CVEV 051 – STRUCTURES I

CLOSED BOOK, 1 ½ HOURS

Name:ID#:

NOTE:ALL YOUR ANSWERS SHOULD BE PROVIDED ON THE QUESTION SHEETS. USE THE BACK OF THE SHEETS IF YOU NEED MORE SPACE.

DRAFT BOOKLETS WILL BE PROVIDED BUT SHOULD NOT BE USED FOR ANSWERS.

BOTH QUESTION/ANSWER SHEETS AND DRAFT BOOKLET SHOULD BE RETURNED.

YOUR COMMENT(S)

______

______

DO NOT WRITE IN THE SPACE BELOW

MY COMMENT(S)

______

______

GRADE

Problem I:_ _ _ /40

Problem II:_ _ _ /60

Other:_ _ _

______

TOTAL:/100

Problem I:(40 points)

For the beam shown in Figure I, the own weight is neglected and w=10 kN/m.

Your diagrams/sketches should include any feature/value you think is relevant or important.

  1. Draw the shear and bending moment diagrams for the following cases: (25 points)

a-P=10 kN

SHEAR:

MOMENT:

Calculations:


b-P=100 kN

SHEAR:

MOMENT:

Calculations:

  1. Sketch the deflected shape for both Cases a and b in Question 1. Show the steel bars (a and b) that would be required if the beam is made of reinforced concrete. (15 points)

Problem II:(60 points)

  1. Show that the value of a variable Y (reaction, moment, …) due to a load w over a segment L as shown in Figure II-1 is equal to:

Y = a.b.[L(m+n+1)]/(m+n+1)

Take the case when m=0 and n=1 and comment on the result. (20 points)

Figure II-2

All horizontal and vertical segments (AC, CD, …) are of equal length L.

  1. L= 5 m. Neglect the own weight of the system.

Consider a Unit Vertical Load that moves along CD and EF. Draw the influence lines for the following:

RA, MA, Vertical and Horizontal RB, M at mid CD, and V and M just to right of E.

Calculate the maximum absolute RA for a uniform dead load of 2 kN/m and uniform live load of 10 kN/m and a concentrated vertical live load of 10 kN. (25 points)


  1. L= 5 m. All loads are removed, and own weight is neglected.

Consider a Unit Horizontal Load that moves along AC and DE. Draw the influence line for the horizontal reaction at B.

Compute the horizontal reaction at B if the system is loaded with a horizontal triangular wind load starting at zero at A and ending at 10 kN/m at E. Use the method of influence lines and check with statics. (15 points)

1