HP 15c Scientific 000–, 002–, 003–, 004–, 005–, 006–, 007–, 008–, 009–, 010–, 011–, 012–, 013–, 014–, 015–, 016–, 017–, 013–, 020–, 021–, 022–, 001–42,21,2, 019–42,21,9

228 Appendix D: A Detailed Look at _

Solution: The equation for the shear stress for x between 0 and 10 is more efficiently programmed after rewriting it using Horner's method:

Q = (3x–45)x2+ 350 for 0 < x < 10.

Keystrokes ¥

´b2

1

0

£ t9 ` 3

*

4

5

-

*

*

3

5

0

+

n

´b9

‛

3

n

Display
000–			Program mode.
001–42,21, 2
002–		1
003–		0	Test for x range.
004–	43	10
005–	22	9	Branch for x ≥ 10.
006–	43	35
007–		3
008–		20	3x.
009–		4
010–		5
011–		30	(3x – 45).
012–		20
013–		20	(3x – 45)x2.
014–		3
015–		5
016–		0
017–		40	(3x – 45)x 2 + 350.
013–	43	32	End subroutine.
019–42,21, 9			Subroutine for x ≥ 10.
020–		26
021–		3	103=1000.
022–	43	32	End subroutine.

Execute _ using initial estimates of 7 and 14 to start at the outer end of the beam and search for a point of zero shear stress.